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Paper Citation Record · LEDGER

Paths and Intersections: Minimum Realization of Okamura-Seymour Instances

As of 19 August 2026, this Paper Citation Record lists 100 of 159 outbound references and 0 inbound Pith citation observations for arXiv:2607.02883.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2607.02883 v1

Coverage vector

measured 100 of 159 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-12T06:25:09.946876Z

measured 100 of 100 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

100 of 159 outbound references displayed

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  • verified fuzzy0
  • unresolved100
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  • malformed identifier0
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External citation measurements

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Outbound references

Observation e7450908-e23f-488c-9d83-a93e93cf1e97 · outbound

This paper cites Paths and Intersections: Recognizing Outerplanar Metrics.

Paths and Intersections: Minimum Realization of Okamura-Seymour Instances Paths and Intersections: Recognizing Outerplanar Metrics

Reference 1

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Observation 8a665642-67d0-4dfb-a540-81deab5eb459 · outbound

This paper cites Louis and Yau, Stephen S.

Paths and Intersections: Minimum Realization of Okamura-Seymour Instances Louis and Yau, Stephen S

Reference 2

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source=arxiv_source observed=2026-07-12T06:25:09.946876Z digest=sha256:98ce79c0a2794751c8ef9739bc90e82e689c775b66e929186cdc46b89e15e610

Observation 4629050d-de86-4f79-acbb-7b3b11da25fb · outbound

This paper cites an unresolved cited work.

Paths and Intersections: Minimum Realization of Okamura-Seymour Instances Unresolved cited work

Reference 3

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source=arxiv_source observed=2026-07-12T06:25:09.946876Z digest=sha256:0638e5445fc2d9f10dfa954b17cdc0132d21b5dd7db8255f8e16fe837d62e0f3

Observation d9663405-ef4c-4b8a-b262-4f4d95b82143 · outbound

This paper cites On Optimal Realizations of Finite Metric Spaces by Graphs , journal =.

Paths and Intersections: Minimum Realization of Okamura-Seymour Instances On Optimal Realizations of Finite Metric Spaces by Graphs , journal =

Reference 4

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source=arxiv_source observed=2026-07-12T06:25:09.946876Z digest=sha256:b9e0d375f1ee9c000b29bc0ae0e8def04e5fac71fe073565a2f40c08ae697916

Observation e9f72f58-d1d2-45ef-b07f-a72b1b418f4f · outbound

This paper cites SIAM Journal on Discrete Mathematics , volume =.

Paths and Intersections: Minimum Realization of Okamura-Seymour Instances SIAM Journal on Discrete Mathematics , volume =

Reference 5

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source=arxiv_source observed=2026-07-12T06:25:09.946876Z digest=sha256:7cb60fb066dc70558a309cd580bea2dde9493cb73320e1ec9bc4c6ad5832fcc0

Observation 156ecf12-9bac-4cfc-9cbb-0e4c4b000088 · outbound

This paper cites Annual Symposium on Theoretical Aspects of Computer Science , pages=.

Paths and Intersections: Minimum Realization of Okamura-Seymour Instances Annual Symposium on Theoretical Aspects of Computer Science , pages=

Reference 6

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source=arxiv_source observed=2026-07-12T06:25:09.946876Z digest=sha256:4dc6afe8e2a3a8bbde4cb9b050c3bbe19980fccc33b8d22b90c3aecdc2931f00

Observation 23965ab7-9c72-4fae-9d67-0df7407e5df5 · outbound

This paper cites Paths and Intersections: Exact Emulators for Planar Graphs.

Paths and Intersections: Minimum Realization of Okamura-Seymour Instances Paths and Intersections: Exact Emulators for Planar Graphs

Reference 7

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source=arxiv_source observed=2026-07-12T06:25:09.946876Z digest=sha256:ef8d13732ddf13b32aa41dd2eb34ba68df155774dbbbdfbd420ee5936bafe985

Observation 3341a1b7-1542-4445-9fcd-a222e378a8c9 · outbound

This paper cites Proceedings of the 2025 Annual ACM-SIAM Symposium on Discrete Algorithms (SODA) , pages=.

Paths and Intersections: Minimum Realization of Okamura-Seymour Instances Proceedings of the 2025 Annual ACM-SIAM Symposium on Discrete Algorithms (SODA) , pages=

Reference 8

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source=arxiv_source observed=2026-07-12T06:25:09.946876Z digest=sha256:4f25a3333c6f6796e15846f0d7f475cf3572859ddc8db20fe3f89c9ae0930cf5

Observation 279d6872-8c7b-4629-accc-f5ae039ea3e4 · outbound

This paper cites Proceedings of the 51st Annual ACM SIGACT Symposium on Theory of Computing , pages=.

Paths and Intersections: Minimum Realization of Okamura-Seymour Instances Proceedings of the 51st Annual ACM SIGACT Symposium on Theory of Computing , pages=

Reference 9

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source=arxiv_source observed=2026-07-12T06:25:09.946876Z digest=sha256:c249eaa5f0ffe04173905210d8db52d3005bcd407b410ce8816756b4fd108343

Observation 4baa6728-ef7a-41c9-822f-debcf5d7d230 · outbound

This paper cites Near-Optimal Distance Emulator for Planar Graphs.

Paths and Intersections: Minimum Realization of Okamura-Seymour Instances Near-Optimal Distance Emulator for Planar Graphs

Reference 10

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source=arxiv_source observed=2026-07-12T06:25:09.946876Z digest=sha256:1f278f6b10c12ea5f164acd4c9a17a304f9dde63ca218b9d389540b00900eb3f

Observation 144b8b5e-ec78-4777-8562-792e972ff9c1 · outbound

This paper cites 1972 , publisher=.

Paths and Intersections: Minimum Realization of Okamura-Seymour Instances 1972 , publisher=

Reference 11

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source=arxiv_source observed=2026-07-12T06:25:09.946876Z digest=sha256:63855e18867e2758bcca618a9ab3bee797394ba166fe148020307ab2c94f422f

Observation 470c7f17-d4ef-4d4d-8ed3-d084fdf87059 · outbound

This paper cites Quarterly of applied mathematics , volume=.

Paths and Intersections: Minimum Realization of Okamura-Seymour Instances Quarterly of applied mathematics , volume=

Reference 12

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source=arxiv_source observed=2026-07-12T06:25:09.946876Z digest=sha256:5f52a13981fcd787daf7d19ae0e1319c81ba01d19cccba9d1a6f7cd936db4f6f

Observation 638b6ed9-0cdd-4dee-84d1-178aaf6b750d · outbound

This paper cites Discrete mathematics , volume=.

Paths and Intersections: Minimum Realization of Okamura-Seymour Instances Discrete mathematics , volume=

Reference 13

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source=arxiv_source observed=2026-07-12T06:25:09.946876Z digest=sha256:12edde59587ac083a0b22d814ae90c0006cf0bf4c38d51d8653ab762b9b327d1

Observation 74d1e6dd-b6dc-44cd-a54b-49d73f95f621 · outbound

This paper cites Linear algebra and its applications , volume=.

Paths and Intersections: Minimum Realization of Okamura-Seymour Instances Linear algebra and its applications , volume=

Reference 14

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source=arxiv_source observed=2026-07-12T06:25:09.946876Z digest=sha256:ddd7e8adac9365bd4761e0f0f93a959890475ba927c571f63cff474112253da9

Observation dace0f88-2f58-450d-abf0-f83c7cc2ae9d · outbound

This paper cites Algorithmica , volume=.

Paths and Intersections: Minimum Realization of Okamura-Seymour Instances Algorithmica , volume=

Reference 15

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source=arxiv_source observed=2026-07-12T06:25:09.946876Z digest=sha256:37df62ba98a6f2b5133a24cc11a2b6c384f517b2f68737b8c144f739b8bb6f3c

Observation 226b0745-3c38-4f0c-b157-fd4a161f54d8 · outbound

This paper cites Discrete mathematics , volume=.

Paths and Intersections: Minimum Realization of Okamura-Seymour Instances Discrete mathematics , volume=

Reference 16

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source=arxiv_source observed=2026-07-12T06:25:09.946876Z digest=sha256:27376a4c845ea4090eb890378fae8399433039527089cb88af6aa8bd01f657d2

Observation 031e517c-12b8-4641-9b28-dc273151a753 · outbound

This paper cites Linear Algebra and Its Applications , volume=.

Paths and Intersections: Minimum Realization of Okamura-Seymour Instances Linear Algebra and Its Applications , volume=

Reference 17

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source=arxiv_source observed=2026-07-12T06:25:09.946876Z digest=sha256:e4a1d2d146b33370c7c3c72b8c8b5a88dfed8428b4b5ec9abb21001d31631e69

Observation 3a5eacaf-2182-4fac-b9f7-d329778f3c00 · outbound

This paper cites SIAM Journal on Discrete Mathematics , volume=.

Paths and Intersections: Minimum Realization of Okamura-Seymour Instances SIAM Journal on Discrete Mathematics , volume=

Reference 18

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source=arxiv_source observed=2026-07-12T06:25:09.946876Z digest=sha256:847fab20370034252deffd3d65a952979b922266344831c7507588f86ac7194e

Observation 7caccc2e-3c2d-4d14-be28-7eb200ed76b5 · outbound

This paper cites 47th International Symposium on Mathematical Foundations of Computer Science (MFCS 2022) , year=.

Paths and Intersections: Minimum Realization of Okamura-Seymour Instances 47th International Symposium on Mathematical Foundations of Computer Science (MFCS 2022) , year=

Reference 19

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source=arxiv_source observed=2026-07-12T06:25:09.946876Z digest=sha256:0d22fde4ff4344d52073db53b1651ec9745725d6a20437f8c3f1d4adcd2026ce

Observation 8a190add-87ad-4e7a-b7c7-6a49caadaf1d · outbound

This paper cites Information Processing Letters , volume=.

Paths and Intersections: Minimum Realization of Okamura-Seymour Instances Information Processing Letters , volume=

Reference 20

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source=arxiv_source observed=2026-07-12T06:25:09.946876Z digest=sha256:839302bd8d60a8dcecdb5104309094030069fa993f1d710db6a71548814ac944

Observation de8d0db4-c9ef-4ffa-a820-c0beb0ed4a68 · outbound

This paper cites Improved Compression of the Okamura-Seymour Metric.

Paths and Intersections: Minimum Realization of Okamura-Seymour Instances Improved Compression of the Okamura-Seymour Metric

Reference 21

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source=arxiv_source observed=2026-07-12T06:25:09.946876Z digest=sha256:c61bf466be5e070c8ed0fb80d82753fdfdc4db85109ee51c0e18e322556a26f9

Observation 843d8dcd-45f1-4b1b-b1f4-9d7a8fa348a9 · outbound

This paper cites Proceedings of the Thirtieth Annual ACM-SIAM Symposium on Discrete Algorithms , pages=.

Paths and Intersections: Minimum Realization of Okamura-Seymour Instances Proceedings of the Thirtieth Annual ACM-SIAM Symposium on Discrete Algorithms , pages=

Reference 22

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Observation 0ef8d718-5dcf-4e02-82d1-d40e4c9b8762 · outbound

This paper cites Journal of Graph Theory , volume=.

Paths and Intersections: Minimum Realization of Okamura-Seymour Instances Journal of Graph Theory , volume=

Reference 23

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source=arxiv_source observed=2026-07-12T06:25:09.946876Z digest=sha256:42e5fb91ec69fa83dda378e31a096a94cb4f4c4ea97b60be0ef1c2bc232c4184

Observation 82e6c0b0-651b-42e3-8815-167e4097710a · outbound

This paper cites Discrete & Computational Geometry , volume=.

Paths and Intersections: Minimum Realization of Okamura-Seymour Instances Discrete & Computational Geometry , volume=

Reference 24

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source=arxiv_source observed=2026-07-12T06:25:09.946876Z digest=sha256:f4ff0a713573bf82c90badbb11b67de8c07f8c156e524b328e4bbd8c2b35cd80

Observation 07c0a3cc-e84a-48ea-ae4f-bf7b8f9960b9 · outbound

This paper cites A Local-to-Global Theorem for Congested Shortest Paths.

Paths and Intersections: Minimum Realization of Okamura-Seymour Instances A Local-to-Global Theorem for Congested Shortest Paths

Reference 25

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source=arxiv_source observed=2026-07-12T06:25:09.946876Z digest=sha256:5a0219441513722354660ac403b8404e72c71b1b20385bff7964f97d476751ae

Observation 9c3b3e55-f466-4ea4-b67c-7d1a6ab597cb · outbound

This paper cites Combinatorica , volume=.

Paths and Intersections: Minimum Realization of Okamura-Seymour Instances Combinatorica , volume=

Reference 26

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source=arxiv_source observed=2026-07-12T06:25:09.946876Z digest=sha256:58b1e05031701bdb99948e59d0ac597d608965fb1221d9dba95b85c99b0aae4e

Observation 153eab8b-2530-41e4-8bce-7afc2c8e038c · outbound

This paper cites Journal of the ACM (JACM) , volume=.

Paths and Intersections: Minimum Realization of Okamura-Seymour Instances Journal of the ACM (JACM) , volume=

Reference 27

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Observation d343a4fc-08e6-4e6e-929b-73cad09ade88 · outbound

This paper cites Advances in Mathematics , volume=.

Paths and Intersections: Minimum Realization of Okamura-Seymour Instances Advances in Mathematics , volume=

Reference 28

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source=arxiv_source observed=2026-07-12T06:25:09.946876Z digest=sha256:dbf443bcfcda9adc71fb0e88c609671bc3a6578d4f6a4af80a0a3b7c5b15d4a5

Observation 5dfdc412-66fc-4643-8f13-ca09dc6bea7d · outbound

This paper cites Journal of combinatorial theory , volume=.

Paths and Intersections: Minimum Realization of Okamura-Seymour Instances Journal of combinatorial theory , volume=

Reference 29

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source=arxiv_source observed=2026-07-12T06:25:09.946876Z digest=sha256:c7d98d003fe16a27491019f8c2fa6e748aff271774c81098c0f354ca5b37dd5e

Observation 67c6181f-f7da-4738-8b8c-726cf5428770 · outbound

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Paths and Intersections: Minimum Realization of Okamura-Seymour Instances Unresolved cited work

Reference 30

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source=arxiv_source observed=2026-07-12T06:25:09.946876Z digest=sha256:bcdc2759824bec47778c1272db4ad58996db40ccd02f47bee65c9baf552ebb91

Observation 3a600feb-a2c5-48bc-8fde-e0e63a5d04c3 · outbound

This paper cites Information Processing Letters , volume=.

Paths and Intersections: Minimum Realization of Okamura-Seymour Instances Information Processing Letters , volume=

Reference 31

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source=arxiv_source observed=2026-07-12T06:25:09.946876Z digest=sha256:137a542ffac05bdb2b7a021f379e6ba44d075a4b6d17e2374f8badead7baab7a

Observation 2579bab6-37dc-4102-801a-903c750bcb0e · outbound

This paper cites 2015 , publisher=.

Paths and Intersections: Minimum Realization of Okamura-Seymour Instances 2015 , publisher=

Reference 32

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source=arxiv_source observed=2026-07-12T06:25:09.946876Z digest=sha256:cb67f17d3e2e1821632fc15a48f36e625ea65ffaf01d424157f200758e8c42ca

Observation 163a315c-6dee-4548-8be0-021a7eaee9dc · outbound

This paper cites Journal of the Royal Statistical Society: Series A (General) , volume=.

Paths and Intersections: Minimum Realization of Okamura-Seymour Instances Journal of the Royal Statistical Society: Series A (General) , volume=

Reference 33

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source=arxiv_source observed=2026-07-12T06:25:09.946876Z digest=sha256:beb3889ab4aa534693fe2988680f5b6663982d11d2c85ba87faea018a89d29f5

Observation 664015de-9b58-4ef9-b2a4-e06dd7d86305 · outbound

This paper cites Journal of Computer and System Sciences , volume=.

Paths and Intersections: Minimum Realization of Okamura-Seymour Instances Journal of Computer and System Sciences , volume=

Reference 34

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source=arxiv_source observed=2026-07-12T06:25:09.946876Z digest=sha256:45c5d67cd2b47382d6db9a4d2772cccbe83c9fafd078bcf08ab7b45348ee24ce

Observation 8d097b3b-83d9-4a98-a837-11bc683a6db0 · outbound

This paper cites 2012 , publisher=.

Paths and Intersections: Minimum Realization of Okamura-Seymour Instances 2012 , publisher=

Reference 35

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source=arxiv_source observed=2026-07-12T06:25:09.946876Z digest=sha256:8a5e307997c67e3af5467bff8c8ba873c783b2c3d8f0a1c01a8dabaa5f71dc44

Observation ec813b0b-41df-4a96-8f72-39ca126af1ff · outbound

This paper cites Quarterly of applied mathematics , volume=.

Paths and Intersections: Minimum Realization of Okamura-Seymour Instances Quarterly of applied mathematics , volume=

Reference 36

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source=arxiv_source observed=2026-07-12T06:25:09.946876Z digest=sha256:275bd5d6933ac8d6a3d5aef4fbef42d0b425d13cf52757c00838ccba910b3037

Observation 340183a6-bb04-44a6-aef2-1e754caa5c7e · outbound

This paper cites Proceedings of Colloquia Mathematica Societatis Janos Bolyai , volume=.

Paths and Intersections: Minimum Realization of Okamura-Seymour Instances Proceedings of Colloquia Mathematica Societatis Janos Bolyai , volume=

Reference 37

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source=arxiv_source observed=2026-07-12T06:25:09.946876Z digest=sha256:5b39ea09b57b9cfc45edcc1e58241c8537027a756e553528d1f631043c93572b

Observation 38bdecae-8499-44d9-ae06-ecc38c317d62 · outbound

This paper cites A Fourier-f.

Paths and Intersections: Minimum Realization of Okamura-Seymour Instances A Fourier-f

Reference 38

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source=arxiv_source observed=2026-07-12T06:25:09.946876Z digest=sha256:466204f5ea17f58e78b3dd4187cdcad0daf397dc41e8b8ee468d78ca6df2968c

Observation a7dde994-1905-42b0-9dc8-c0075f14b250 · outbound

This paper cites On constant multi-commodity flow-cut gaps for directed minor-free graphs.

Paths and Intersections: Minimum Realization of Okamura-Seymour Instances On constant multi-commodity flow-cut gaps for directed minor-free graphs

Reference 39

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Observation cccab5d3-a728-4abc-bc7c-d8dbed5f5a27 · outbound

This paper cites 2003 , publisher=.

Paths and Intersections: Minimum Realization of Okamura-Seymour Instances 2003 , publisher=

Reference 40

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source=arxiv_source observed=2026-07-12T06:25:09.946876Z digest=sha256:8d2b214904f305e8f7d87516aa875608049588bb2098d53410cd1242e4e70832

Observation 1ba3d573-82ed-42a6-abe3-0af9ea1f1272 · outbound

This paper cites Planar Emulators for Monge Matrices , booktitle =.

Paths and Intersections: Minimum Realization of Okamura-Seymour Instances Planar Emulators for Monge Matrices , booktitle =

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source=arxiv_source observed=2026-07-12T06:25:09.946876Z digest=sha256:16e47eff8f9496a06445e03e5b291b4cedb7b9cb7cbffac66e2872348d23ada5

Observation 207d5422-3bad-41f7-ba73-a6734b07207f · outbound

This paper cites 2020 , url =.

Paths and Intersections: Minimum Realization of Okamura-Seymour Instances 2020 , url =

Reference 42

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Observation 7e473f12-db43-4e28-96b4-ccc105366964 · outbound

This paper cites SIAM Journal on Discrete Mathematics , volume=.

Paths and Intersections: Minimum Realization of Okamura-Seymour Instances SIAM Journal on Discrete Mathematics , volume=

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source=arxiv_source observed=2026-07-12T06:25:09.946876Z digest=sha256:376d8a46b7a13b32d8793d0d9957c7ac57214b0c453f5403ece50997ac78bbfd

Observation 657466c7-f918-4f08-8587-2910705d6454 · outbound

This paper cites Proceedings of the 54th Annual ACM SIGACT Symposium on Theory of Computing , pages=.

Paths and Intersections: Minimum Realization of Okamura-Seymour Instances Proceedings of the 54th Annual ACM SIGACT Symposium on Theory of Computing , pages=

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source=arxiv_source observed=2026-07-12T06:25:09.946876Z digest=sha256:3debb50ca29c1923dc73eff86424fa68e9e1ccd8ff5ce8d3337b634caa428343

Observation e26f7f56-d497-4ffd-bb3c-14dd90542433 · outbound

This paper cites On $(1+\varepsilon)$-Approximate Flow Sparsifiers.

Paths and Intersections: Minimum Realization of Okamura-Seymour Instances On $(1+\varepsilon)$-Approximate Flow Sparsifiers

Reference 45

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source=arxiv_source observed=2026-07-12T06:25:09.946876Z digest=sha256:83a4fc415f3a33a0cf9f3af93066c42491b87faae96db595ae2cea690f9131d6

Observation 0ebc097d-a69c-459a-8a4a-b6ec1ffb7dc4 · outbound

This paper cites Discrete Mathematics , volume=.

Paths and Intersections: Minimum Realization of Okamura-Seymour Instances Discrete Mathematics , volume=

Reference 46

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source=arxiv_source observed=2026-07-12T06:25:09.946876Z digest=sha256:445198006f208c9b4eae8c73efec05562107ca2727cdf3ddae73f70540b8a4ef

Observation 346d8e60-5a2e-4bd1-89e7-5fac656e8ff4 · outbound

This paper cites Discrete Mathematics , volume=.

Paths and Intersections: Minimum Realization of Okamura-Seymour Instances Discrete Mathematics , volume=

Reference 47

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source=arxiv_source observed=2026-07-12T06:25:09.946876Z digest=sha256:4966a951ccdd6765977a57b2536990cad5f8701810fa05ba668bfccb6756038f

Observation ec137d02-b5b9-49e8-bcfb-475a58cf5b87 · outbound

This paper cites , author=.

Paths and Intersections: Minimum Realization of Okamura-Seymour Instances , author=

Reference 48

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source=arxiv_source observed=2026-07-12T06:25:09.946876Z digest=sha256:57d493364915d6b357e499f5fff651341e87c51d78c7b58305f3ab6edbf02d3f

Observation 5fd02555-00fc-4974-8c76-936ae12cfef5 · outbound

This paper cites an unresolved cited work.

Paths and Intersections: Minimum Realization of Okamura-Seymour Instances Unresolved cited work

Reference 49

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source=arxiv_source observed=2026-07-12T06:25:09.946876Z digest=sha256:f53b215caf9dece1947df8fb2a16f49532cff52aa963ca26fe9b9b1c9c4d20ea

Observation 61c9e1db-ade3-4edf-a9b3-47f162256865 · outbound

This paper cites Combinatorica , volume=.

Paths and Intersections: Minimum Realization of Okamura-Seymour Instances Combinatorica , volume=

Reference 50

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source=arxiv_source observed=2026-07-12T06:25:09.946876Z digest=sha256:793383fa4549e64aa7730f34d8c85a95d722510d3870a01f7028a8bf2d10e4e6

Observation e7d808b9-6f9e-4fb0-872e-ca65b46a1483 · outbound

This paper cites 2012 IEEE 53rd Annual Symposium on Foundations of Computer Science , pages=.

Paths and Intersections: Minimum Realization of Okamura-Seymour Instances 2012 IEEE 53rd Annual Symposium on Foundations of Computer Science , pages=

Reference 51

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source=arxiv_source observed=2026-07-12T06:25:09.946876Z digest=sha256:cc620cc36763d8ff4d865695d062b9b2cdc9f91fcded274ba41e38e65b21bf79

Observation 5caf384e-ea89-4044-8628-508d733eb7cb · outbound

This paper cites Proceedings of the 2021 ACM-SIAM Symposium on Discrete Algorithms (SODA) , pages=.

Paths and Intersections: Minimum Realization of Okamura-Seymour Instances Proceedings of the 2021 ACM-SIAM Symposium on Discrete Algorithms (SODA) , pages=

Reference 52

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source=arxiv_source observed=2026-07-12T06:25:09.946876Z digest=sha256:d94f2b26b229d84d1a7b36426e0f07e6d2fdb6ce8778e7500f28e6d89edf9869

Observation d0e4f9d6-ab91-4add-bbef-bc1a642d4d50 · outbound

This paper cites Vertex Sparsification for Edge Connectivity in Polynomial Time.

Paths and Intersections: Minimum Realization of Okamura-Seymour Instances Vertex Sparsification for Edge Connectivity in Polynomial Time

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source=arxiv_source observed=2026-07-12T06:25:09.946876Z digest=sha256:4cdd20d013db174ca46eb6736fbf7da244a126181d2e086909063f27025348d4

Observation 4e397ecb-d334-42b9-a493-02da7803aca1 · outbound

This paper cites 2001 , publisher=.

Paths and Intersections: Minimum Realization of Okamura-Seymour Instances 2001 , publisher=

Reference 54

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source=arxiv_source observed=2026-07-12T06:25:09.946876Z digest=sha256:c986cbc66bf5ca53349efae9fda234a25d11c8a573191875f03e90ec35627bcf

Observation 9ed94d90-dd43-49f9-8252-9779e732c7b9 · outbound

This paper cites Annals of Combinatorics , volume=.

Paths and Intersections: Minimum Realization of Okamura-Seymour Instances Annals of Combinatorics , volume=

Reference 55

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source=arxiv_source observed=2026-07-12T06:25:09.946876Z digest=sha256:8914fab5e226480c811dc5d8c72a4194232f710c3ba78b273530b89b7eb7938a

Observation b926cb0c-f16b-46d3-af9d-40b83b076d95 · outbound

This paper cites Discrete & Computational Geometry , volume=.

Paths and Intersections: Minimum Realization of Okamura-Seymour Instances Discrete & Computational Geometry , volume=

Reference 56

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source=arxiv_source observed=2026-07-12T06:25:09.946876Z digest=sha256:fdf5dc58f953b5403332575c25b3b983358f9e24324162620010699a3c56f3c4

Observation ecbcf9a9-0c76-4259-9a23-0451c841ec07 · outbound

This paper cites the electronic journal of combinatorics , volume=.

Paths and Intersections: Minimum Realization of Okamura-Seymour Instances the electronic journal of combinatorics , volume=

Reference 57

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source=arxiv_source observed=2026-07-12T06:25:09.946876Z digest=sha256:56e529f365ddc3eb5ce7666ba8ebae01dbbbe8fa306e0c5301505dd6e15b9b1f

Observation 7b27bab7-08d2-4f55-8404-de075ce0e22f · outbound

This paper cites Discrete Applied Mathematics , volume=.

Paths and Intersections: Minimum Realization of Okamura-Seymour Instances Discrete Applied Mathematics , volume=

Reference 58

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source=arxiv_source observed=2026-07-12T06:25:09.946876Z digest=sha256:f5a8b4a9b8d19b07b5f68cdd0985c0d3cf2ef6ddf03c917761ac64a1a5999c31

Observation 7dc56e76-3ba0-4e1b-8d1d-f1155869d71a · outbound

This paper cites European Journal of Combinatorics , volume=.

Paths and Intersections: Minimum Realization of Okamura-Seymour Instances European Journal of Combinatorics , volume=

Reference 59

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source=arxiv_source observed=2026-07-12T06:25:09.946876Z digest=sha256:3e0d39fb5ecb02210598c6e05a4824c7f38eceeeb4284f61f453995737103d0e

Observation e82234d3-3acd-4915-8d2b-8d386f2dc732 · outbound

This paper cites Computer Science Review , volume=.

Paths and Intersections: Minimum Realization of Okamura-Seymour Instances Computer Science Review , volume=

Reference 60

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source=arxiv_source observed=2026-07-12T06:25:09.946876Z digest=sha256:2ec3dd7b5b760a022ac4b9515ec72531afc542e07dc3afb875db7c74c49b9e99

Observation 887032be-3980-4dac-8e90-9ad52bbf1a64 · outbound

This paper cites Proceedings of the 2021 ACM-SIAM Symposium on Discrete Algorithms (SODA) , pages=.

Paths and Intersections: Minimum Realization of Okamura-Seymour Instances Proceedings of the 2021 ACM-SIAM Symposium on Discrete Algorithms (SODA) , pages=

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source=arxiv_source observed=2026-07-12T06:25:09.946876Z digest=sha256:d218ca1709f10e0f260e07b177e35bc1da7041f53d34efc171d501f7b4b57a24

Observation 0753ae83-8774-4593-89fa-b1c2a3b87c59 · outbound

This paper cites under submission , year=.

Paths and Intersections: Minimum Realization of Okamura-Seymour Instances under submission , year=

Reference 62

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source=arxiv_source observed=2026-07-12T06:25:09.946876Z digest=sha256:7d660df75dfb8a6af924693c5bcb084c5c0d8f3ff4534e422911b6591e331798

Observation 97bf3e3b-6086-4407-9a30-90afb25ceb8f · outbound

This paper cites 2020 IEEE 61st Annual Symposium on Foundations of Computer Science (FOCS) , pages=.

Paths and Intersections: Minimum Realization of Okamura-Seymour Instances 2020 IEEE 61st Annual Symposium on Foundations of Computer Science (FOCS) , pages=

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source=arxiv_source observed=2026-07-12T06:25:09.946876Z digest=sha256:944af6380ac1d35f1c383dddd5f3018e0e9024d022e2a4d059055489abe487dd

Observation 7f04138b-e34a-4702-bd5a-3112b549d242 · outbound

This paper cites Proceedings of the 51st Annual ACM SIGACT Symposium on Theory of Computing , pages=.

Paths and Intersections: Minimum Realization of Okamura-Seymour Instances Proceedings of the 51st Annual ACM SIGACT Symposium on Theory of Computing , pages=

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source=arxiv_source observed=2026-07-12T06:25:09.946876Z digest=sha256:e88f4ce0a9e4c842043c62debb458deb8540e10cfc2870fbd9dc02d5303b2d87

Observation 3bce7c0f-0246-426d-be57-51110d955287 · outbound

This paper cites Approximation and Online Algorithms: 14th International Workshop, WAOA 2016, Aarhus, Denmark, August 25--26, 2016, Revised Selected Papers , pages=.

Paths and Intersections: Minimum Realization of Okamura-Seymour Instances Approximation and Online Algorithms: 14th International Workshop, WAOA 2016, Aarhus, Denmark, August 25--26, 2016, Revised Selected Papers , pages=

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source=arxiv_source observed=2026-07-12T06:25:09.946876Z digest=sha256:5dca7442a33e803d9db19ab70006a9deea3384dc114ec2f5e2419f4a2b24ccb8

Observation fa218882-9177-4d15-bb98-69ef0606b111 · outbound

This paper cites European Journal of Combinatorics , volume=.

Paths and Intersections: Minimum Realization of Okamura-Seymour Instances European Journal of Combinatorics , volume=

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source=arxiv_source observed=2026-07-12T06:25:09.946876Z digest=sha256:cf8e8167905632c6843bfa09a9fbf3bba48ba251dd9d94c83d75ad0344b4fbdc

Observation feba7eae-9def-4ecd-a1aa-c25ad7f2a40a · outbound

This paper cites The Multiplicative Version of Azuma's Inequality, with an Application to Contention Analysis.

Paths and Intersections: Minimum Realization of Okamura-Seymour Instances The Multiplicative Version of Azuma's Inequality, with an Application to Contention Analysis

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source=arxiv_source observed=2026-07-12T06:25:09.946876Z digest=sha256:342a24f6aa6fa112c17e31288104353ec81b92c89ad61702f1a3b5bf5518e711

Observation ce6316d5-81bc-49a2-9e68-d77efb4acc53 · outbound

This paper cites Journal of Computer and System Sciences , volume=.

Paths and Intersections: Minimum Realization of Okamura-Seymour Instances Journal of Computer and System Sciences , volume=

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source=arxiv_source observed=2026-07-12T06:25:09.946876Z digest=sha256:24000a4d8c790d93769b49356050c483ce9bde7bf5309b22029fbfa29cf50163

Observation df426f72-117b-4db1-b005-d7fc6d94eaef · outbound

This paper cites an unresolved cited work.

Paths and Intersections: Minimum Realization of Okamura-Seymour Instances Unresolved cited work

Reference 69

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source=arxiv_source observed=2026-07-12T06:25:09.946876Z digest=sha256:5ec9c7e88466c70331ca3440c95ae979a3620db450553686214aa2859269a419

Observation 2c1f2c6f-9d90-48c5-855d-36cfda19d500 · outbound

This paper cites Information Processing Letters , volume=.

Paths and Intersections: Minimum Realization of Okamura-Seymour Instances Information Processing Letters , volume=

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source=arxiv_source observed=2026-07-12T06:25:09.946876Z digest=sha256:f4c1fd62fe353b19d1b5bb7b98cc40fe69712e5ca6cc35a452bb3aa9d67c6497

Observation f08ffda2-fbb6-4ccf-9028-c3b9ca2c8618 · outbound

This paper cites An exponential lower bound for cut sparsifiers in planar graphs.

Paths and Intersections: Minimum Realization of Okamura-Seymour Instances An exponential lower bound for cut sparsifiers in planar graphs

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source=arxiv_source observed=2026-07-12T06:25:09.946876Z digest=sha256:8df009926f4d8da98d7622749d9ced48af2dbaab3323587ba2fa1aea8f18c420

Observation e80c278e-f107-452e-83eb-cbe9b89ff3cd · outbound

This paper cites Proceedings of the twenty-fourth annual ACM-SIAM symposium on Discrete algorithms , pages=.

Paths and Intersections: Minimum Realization of Okamura-Seymour Instances Proceedings of the twenty-fourth annual ACM-SIAM symposium on Discrete algorithms , pages=

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source=arxiv_source observed=2026-07-12T06:25:09.946876Z digest=sha256:f7303584161435ce047e12dfb7b89a9ff0b49f18689431ba0806b649888f94ba

Observation cb4b2fc5-ae63-4bdc-ad11-3e22d38c1afc · outbound

This paper cites Improved Guarantees for Vertex Sparsification in Planar Graphs.

Paths and Intersections: Minimum Realization of Okamura-Seymour Instances Improved Guarantees for Vertex Sparsification in Planar Graphs

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source=arxiv_source observed=2026-07-12T06:25:09.946876Z digest=sha256:a60f1d4ee3871d65057d996af2a2e4767274b33d7cf0cffa8a62a495f184cc0c

Observation e3244c3e-1b06-400c-92eb-612ab72fef12 · outbound

This paper cites Refined Vertex Sparsifiers of Planar Graphs.

Paths and Intersections: Minimum Realization of Okamura-Seymour Instances Refined Vertex Sparsifiers of Planar Graphs

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source=arxiv_source observed=2026-07-12T06:25:09.946876Z digest=sha256:eec9dc8c4717b382b3ed5387a9a6e3408961b7cc88a1ee8281e46d1c304e480c

Observation a67891c0-0896-45b2-8ac8-10cf576f71a4 · outbound

This paper cites , author=.

Paths and Intersections: Minimum Realization of Okamura-Seymour Instances , author=

Reference 75

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source=arxiv_source observed=2026-07-12T06:25:09.946876Z digest=sha256:ec4a056801c2c48f656aadde9981fa8fa1791f4888fc278c5cbbde4dbbdc8f66

Observation 4cd4e49e-3455-437b-8b46-516398909a2d · outbound

This paper cites Foundations of Computer Science, 2009.

Paths and Intersections: Minimum Realization of Okamura-Seymour Instances Foundations of Computer Science, 2009

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source=arxiv_source observed=2026-07-12T06:25:09.946876Z digest=sha256:e61c04be08fe442076a46cf62d86c5f0a13e5a11f7f09d21b128557fd50e48c2

Observation cf47a415-7b8b-403a-ab74-553074e2b7dc · outbound

This paper cites SIAM Journal on Computing , volume=.

Paths and Intersections: Minimum Realization of Okamura-Seymour Instances SIAM Journal on Computing , volume=

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source=arxiv_source observed=2026-07-12T06:25:09.946876Z digest=sha256:069fad9cdbb9b746eff8c0a0ba0186f768f055a2dfdd260bfe8be03eb9bdff6c

Observation 410177d2-3fb0-4896-ba8f-461236cde812 · outbound

This paper cites Proceedings of the fourteenth annual ACM-SIAM symposium on Discrete algorithms , pages=.

Paths and Intersections: Minimum Realization of Okamura-Seymour Instances Proceedings of the fourteenth annual ACM-SIAM symposium on Discrete algorithms , pages=

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source=arxiv_source observed=2026-07-12T06:25:09.946876Z digest=sha256:49419f985cdd7f5ff0919621ed12972c1fc3eb0beda30ea2fb61be8f2126b764

Observation be80c96b-a317-42d7-a94c-d6db3d1a76f3 · outbound

This paper cites Journal of the ACM (JACM) , volume=.

Paths and Intersections: Minimum Realization of Okamura-Seymour Instances Journal of the ACM (JACM) , volume=

Reference 79

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Observation 24ebea77-5aed-4100-86c4-0941f9d43aca · outbound

This paper cites an unresolved cited work.

Paths and Intersections: Minimum Realization of Okamura-Seymour Instances Unresolved cited work

Reference 80

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source=arxiv_source observed=2026-07-12T06:25:09.946876Z digest=sha256:8ab1aea90f73a76c5a63910ab13ef765e3ba2504039384821940842a8ca23fc7

Observation 4da938c4-c417-445a-bbc1-67dee4d5a6ec · outbound

This paper cites Foundations of Computer Science, 2002.

Paths and Intersections: Minimum Realization of Okamura-Seymour Instances Foundations of Computer Science, 2002

Reference 81

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source=arxiv_source observed=2026-07-12T06:25:09.946876Z digest=sha256:042ae82b7edca3857461c2316709ecd2eedac0285170e902dad0b294b00627c9

Observation e60eb28c-32cf-4530-9726-885385b1925a · outbound

This paper cites Proceedings of the forty-second ACM symposium on Theory of computing , pages=.

Paths and Intersections: Minimum Realization of Okamura-Seymour Instances Proceedings of the forty-second ACM symposium on Theory of computing , pages=

Reference 82

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source=arxiv_source observed=2026-07-12T06:25:09.946876Z digest=sha256:47470bcb51c6ea20f1a0c6dad34ef107a3a9b9fce143d7f93d4e02ebe91550d6

Observation cbeb2b2d-1f34-4d34-bc18-24604db2aa1f · outbound

This paper cites Journal of the ACM (JACM) , volume=.

Paths and Intersections: Minimum Realization of Okamura-Seymour Instances Journal of the ACM (JACM) , volume=

Reference 83

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source=arxiv_source observed=2026-07-12T06:25:09.946876Z digest=sha256:ada6900fd5d57bd1f548251c520fc2508421d0eecd32b58c278a4d4548ba374b

Observation 1684fa64-0ded-43e8-8efa-075444bcbdd0 · outbound

This paper cites Foundations of Computer Science (FOCS), 2010 51st Annual IEEE Symposium on , pages=.

Paths and Intersections: Minimum Realization of Okamura-Seymour Instances Foundations of Computer Science (FOCS), 2010 51st Annual IEEE Symposium on , pages=

Reference 84

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source=arxiv_source observed=2026-07-12T06:25:09.946876Z digest=sha256:51f9b56393448ee4a67a2533fa967d030481f068c74b86573a8db49de03d4382

Observation 53f59c9d-5f44-442e-b4da-f5aa9d3af917 · outbound

This paper cites Foundations of Computer Science (FOCS), 2010 51st Annual IEEE Symposium on , pages=.

Paths and Intersections: Minimum Realization of Okamura-Seymour Instances Foundations of Computer Science (FOCS), 2010 51st Annual IEEE Symposium on , pages=

Reference 85

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source=arxiv_source observed=2026-07-12T06:25:09.946876Z digest=sha256:e70bf722369759925c37321d4f446abf43148df03064384833b672b194957b98

Observation 3154c57a-e47d-4f12-87b5-32903bc86a5c · outbound

This paper cites SIAM Journal on Computing , volume=.

Paths and Intersections: Minimum Realization of Okamura-Seymour Instances SIAM Journal on Computing , volume=

Reference 86

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source=arxiv_source observed=2026-07-12T06:25:09.946876Z digest=sha256:efdec852a23af759a017b0a38fa194061f6fe99668a11438ff8684dcf18bc2af

Observation 434d62f8-87de-45f7-a15d-c408180cb5e0 · outbound

This paper cites Interchanging distance and capacity in probabilistic mappings.

Paths and Intersections: Minimum Realization of Okamura-Seymour Instances Interchanging distance and capacity in probabilistic mappings

Reference 87

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source=arxiv_source observed=2026-07-12T06:25:09.946876Z digest=sha256:dc6c6a6b67060dc8466192bfa4e65673757382f4daa56ca54301847ecec12d40

Observation 59948371-5633-4784-94d3-9787663f346f · outbound

This paper cites Proceedings of the twelfth annual ACM-SIAM symposium on Discrete algorithms , pages=.

Paths and Intersections: Minimum Realization of Okamura-Seymour Instances Proceedings of the twelfth annual ACM-SIAM symposium on Discrete algorithms , pages=

Reference 88

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source=arxiv_source observed=2026-07-12T06:25:09.946876Z digest=sha256:1d10661005683128405a62882f06b8b4918f1308273d7d53ae0e70a0378e64ee

Observation b293ab14-9b97-4ae7-85a1-60e5904bd7a3 · outbound

This paper cites Approximation, Randomization, and Combinatorial Optimization.

Paths and Intersections: Minimum Realization of Okamura-Seymour Instances Approximation, Randomization, and Combinatorial Optimization

Reference 89

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source=arxiv_source observed=2026-07-12T06:25:09.946876Z digest=sha256:3aa7248891ddf7c5e327371075dfed891aa55ea170ea4afb018cb21e6f7cf5e8

Observation 71f0cced-1f4c-4d44-bb18-e3e3ac7f6c92 · outbound

This paper cites Unpublished Manuscript, available from http://www.

Paths and Intersections: Minimum Realization of Okamura-Seymour Instances Unpublished Manuscript, available from http://www

Reference 90

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source=arxiv_source observed=2026-07-12T06:25:09.946876Z digest=sha256:f039a84582944ab4fdb1a709929ba3def6d60c40d109f43a485eddd9b7434be9

Observation dbc403e3-02d5-48b5-bcbf-5319c1950ff5 · outbound

This paper cites SIAM Journal on Discrete Mathematics , volume=.

Paths and Intersections: Minimum Realization of Okamura-Seymour Instances SIAM Journal on Discrete Mathematics , volume=

Reference 91

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source=arxiv_source observed=2026-07-12T06:25:09.946876Z digest=sha256:bd9ead1c69a3f3b10d506eb0b2adffdd33b16e1035022b14b6e764dfc96fb78a

Observation 858a339a-7914-4310-bdb1-895e8bb16c92 · outbound

This paper cites SIAM Journal on Computing , volume=.

Paths and Intersections: Minimum Realization of Okamura-Seymour Instances SIAM Journal on Computing , volume=

Reference 92

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source=arxiv_source observed=2026-07-12T06:25:09.946876Z digest=sha256:711ef21d2cb07ef3e157090bfb6881cd5aa10b727a3c84f141c230ea1078dc8e

Observation 721d336a-e2e7-454e-acce-ad036b9c1979 · outbound

This paper cites Foundations of Computer Science, 2006.

Paths and Intersections: Minimum Realization of Okamura-Seymour Instances Foundations of Computer Science, 2006

Reference 93

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source=arxiv_source observed=2026-07-12T06:25:09.946876Z digest=sha256:91c69dce66e972f7289f116e189125cca528417d3e2da7328c5d1b4b5b465b0e

Observation f1148cb6-afa4-420d-a55a-e3d71a3dc165 · outbound

This paper cites SIAM Journal on Computing , volume=.

Paths and Intersections: Minimum Realization of Okamura-Seymour Instances SIAM Journal on Computing , volume=

Reference 94

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source=arxiv_source observed=2026-07-12T06:25:09.946876Z digest=sha256:ee21bcd2036aa2bb1ac0718e83853811a4ac61ecc7d6a05a0cbda3fd4e55609e

Observation 1d1d83aa-f0c1-44df-9245-a3332e81c0c3 · outbound

This paper cites Proceedings of the Twenty-Ninth Annual ACM-SIAM Symposium on Discrete Algorithms , pages=.

Paths and Intersections: Minimum Realization of Okamura-Seymour Instances Proceedings of the Twenty-Ninth Annual ACM-SIAM Symposium on Discrete Algorithms , pages=

Reference 95

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source=arxiv_source observed=2026-07-12T06:25:09.946876Z digest=sha256:1f3eb404ecdbc79bf9e79b08a441cfafd9b0a78b7b7dfc82efd2a4464daaf81e

Observation c98f6e4c-9ead-4950-ac5b-0be40ee520e0 · outbound

This paper cites Proceedings of the Twenty-Ninth Annual ACM-SIAM Symposium on Discrete Algorithms , pages=.

Paths and Intersections: Minimum Realization of Okamura-Seymour Instances Proceedings of the Twenty-Ninth Annual ACM-SIAM Symposium on Discrete Algorithms , pages=

Reference 96

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source=arxiv_source observed=2026-07-12T06:25:09.946876Z digest=sha256:abe76693f3fabc65f52a2a56cd5ecd0b49a71c64620c97312d7ded98cf69c108

Observation e3c68bff-21ee-40fd-92c5-5c4c22e4d6c2 · outbound

This paper cites Relaxed Voronoi: a Simple Framework for Terminal-Clustering Problems.

Paths and Intersections: Minimum Realization of Okamura-Seymour Instances Relaxed Voronoi: a Simple Framework for Terminal-Clustering Problems

Reference 97

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source=arxiv_source observed=2026-07-12T06:25:09.946876Z digest=sha256:9ca890a0f3ce14220e624557fcfb573cd50d9742c5cd552a13c3a1ecd0360ae0

Observation 1150f5fd-f20b-408e-9408-d898eca2eda1 · outbound

This paper cites Preprint , year=.

Paths and Intersections: Minimum Realization of Okamura-Seymour Instances Preprint , year=

Reference 98

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source=arxiv_source observed=2026-07-12T06:25:09.946876Z digest=sha256:1752d0ad3cfbb93a7b5436e7ce8f2ffa005e98388eb89299da16fb156ed9693c

Observation e52f38ab-4a01-464a-813b-32817e6f4c1c · outbound

This paper cites Graph Minors for Preserving Terminal Distances Approximately - Lower and Upper Bounds.

Paths and Intersections: Minimum Realization of Okamura-Seymour Instances Graph Minors for Preserving Terminal Distances Approximately - Lower and Upper Bounds

Reference 99

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source=arxiv_source observed=2026-07-12T06:25:09.946876Z digest=sha256:ce437475802f82c0e5088e24f04e03cf92aad35e6a428c203636154fbd8f9be1

Observation ccb90a55-aca2-46b4-8c10-a36b1334a1a3 · outbound

This paper cites Discrete & Computational Geometry , volume=.

Paths and Intersections: Minimum Realization of Okamura-Seymour Instances Discrete & Computational Geometry , volume=

Reference 100

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source=arxiv_source observed=2026-07-12T06:25:09.946876Z digest=sha256:65113557506a89f43ca5065a74ea937a1b5b0c52e9f815eb1f196ac7e09309c6

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