Paper Citation Record · LEDGER

Optimal tree-decompositions with bags of bounded pathwidth

As of 11 August 2026, this Paper Citation Record lists 52 of 52 outbound references and 0 inbound Pith citation observations for arXiv:2607.27601.

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

pith.paper-citation-record.v1
2607.27601 v1

Coverage vector

measured 52 of 52 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-01T05:07:02.564638Z

measured 52 of 52 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+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

52 of 52 outbound references displayed

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External citation measurements

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Outbound references

Observation dfd9ccc6-24ea-4185-9a66-f67a073c58d2 · outbound

This paper cites Induced subgraphs and tree decompositions X. Towards logarithmic treewidth for even-hole-free graphs.

Optimal tree-decompositions with bags of bounded pathwidth Induced subgraphs and tree decompositions X. Towards logarithmic treewidth for even-hole-free graphs

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-01T05:07:02.436553Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0a76f0e1-a3f5-4ec3-aeb6-5e0aade2a3d6 · outbound

This paper cites an unresolved cited work.

Optimal tree-decompositions with bags of bounded pathwidth Unresolved cited work

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-01T05:07:02.440301Z

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Observation aac0a803-2185-49da-ae84-1d016f7a8e5b · outbound

This paper cites Bounded-diameter tree-decompositions.

Optimal tree-decompositions with bags of bounded pathwidth Bounded-diameter tree-decompositions

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-01T05:07:02.443060Z

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Observation f06e2538-aa65-4957-9145-8aacf73896c7 · outbound

This paper cites Drawing planar 3-trees with given face areas.

Optimal tree-decompositions with bags of bounded pathwidth Drawing planar 3-trees with given face areas

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-01T05:07:02.445956Z

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Observation 1f8176da-c379-49df-88c6-e5fe1818087a · outbound

This paper cites Quickly excluding a forest.

Optimal tree-decompositions with bags of bounded pathwidth Quickly excluding a forest

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-01T05:07:02.448574Z

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Observation 00cea719-25bb-4178-9792-a8b0df0d5819 · outbound

This paper cites Bodlaender.

Optimal tree-decompositions with bags of bounded pathwidth Bodlaender

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-01T05:07:02.451267Z

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Observation 93c3a76f-cb93-45d8-ae02-7d993bf94edb · outbound

This paper cites Induced subgraphs and tree decompositions XV. Even-hole-free graphs with bounded clique number have logarithmic treewidth.

Optimal tree-decompositions with bags of bounded pathwidth Induced subgraphs and tree decompositions XV. Even-hole-free graphs with bounded clique number have logarithmic treewidth

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-01T05:07:02.454133Z

Source-reported events for the cited work

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Observation 9c69424f-8991-4e73-b74a-e70cf4c6a4d2 · outbound

This paper cites Towards tight(er) bounds for the excluded grid theorem.

Optimal tree-decompositions with bags of bounded pathwidth Towards tight(er) bounds for the excluded grid theorem

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-01T05:07:02.456898Z

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Observation 207928c9-a799-42de-be7b-f4a7620a8898 · outbound

This paper cites To approximate treewidth, use treelength! SIAM J.

Optimal tree-decompositions with bags of bounded pathwidth To approximate treewidth, use treelength! SIAM J

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-01T05:07:02.459274Z

Source-reported events for the cited work

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Observation 0f434cf5-4533-4d96-931d-81db8d0e778f · outbound

This paper cites Treewidth versus clique number.

Optimal tree-decompositions with bags of bounded pathwidth Treewidth versus clique number

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-01T05:07:02.461807Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2221ab6f-c03c-4065-8649-726f59cd5318 · outbound

This paper cites Non-separating planar graphs.

Optimal tree-decompositions with bags of bounded pathwidth Non-separating planar graphs

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-01T05:07:02.464338Z

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Observation f1e349da-57a1-422e-8fe1-2b3cc5bf1d1f · outbound

This paper cites Graph theory, vol.

Optimal tree-decompositions with bags of bounded pathwidth Graph theory, vol

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-01T05:07:02.467061Z

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Observation a8af95b1-513c-41fb-bb77-9473e1c9ff2d · outbound

This paper cites A short proof for lean tree-decompositions.Combin.

Optimal tree-decompositions with bags of bounded pathwidth A short proof for lean tree-decompositions.Combin

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-01T05:07:02.469753Z

Source-reported events for the cited work

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Observation f920e4db-2597-4432-9048-f4169a857ba2 · outbound

This paper cites Connected tree-width.

Optimal tree-decompositions with bags of bounded pathwidth Connected tree-width

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-01T05:07:02.472252Z

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Observation e1b765a2-d197-4379-bd16-c6bbc3e64d6f · outbound

This paper cites Tree-decompositions with bags of small diameter.

Optimal tree-decompositions with bags of bounded pathwidth Tree-decompositions with bags of small diameter

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-01T05:07:02.474602Z

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Observation 7a67f984-0b44-4bb0-bb6d-b909f7a46bcc · outbound

This paper cites Graph parameters that are coarsely equivalent to path-length.

Optimal tree-decompositions with bags of bounded pathwidth Graph parameters that are coarsely equivalent to path-length

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-01T05:07:02.477011Z

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Observation b7c627d0-f6ae-4353-8742-67c2aff5951d · outbound

This paper cites 3-Colouring Planar Graphs.

Optimal tree-decompositions with bags of bounded pathwidth 3-Colouring Planar Graphs

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-01T05:07:02.479725Z

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Observation 36655be4-4bed-4c11-8500-125dc13b6039 · outbound

This paper cites A short derivation of the structure theorem for graphs with excluded topological minors.SIAM J.

Optimal tree-decompositions with bags of bounded pathwidth A short derivation of the structure theorem for graphs with excluded topological minors.SIAM J

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-01T05:07:02.482439Z

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Observation 3b74d371-1006-497d-9ef1-99afd542cc25 · outbound

This paper cites A combinatorial theorem.J.

Optimal tree-decompositions with bags of bounded pathwidth A combinatorial theorem.J

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-01T05:07:02.484873Z

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Observation 3b034c23-c0f5-4117-acb0-13422a122359 · outbound

This paper cites an unresolved cited work.

Optimal tree-decompositions with bags of bounded pathwidth Unresolved cited work

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-01T05:07:02.487134Z

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Observation 914ef56e-3ace-443f-9418-9d006fcb34f2 · outbound

This paper cites Tree-width and large grid minors in planar graphs.Discrete Math.

Optimal tree-decompositions with bags of bounded pathwidth Tree-width and large grid minors in planar graphs.Discrete Math

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-01T05:07:02.489559Z

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Observation a0e5a400-92cf-479f-8ff7-8a5011f1e85c · outbound

This paper cites Harvey and David R.

Optimal tree-decompositions with bags of bounded pathwidth Harvey and David R

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-01T05:07:02.491972Z

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Observation 95bc5203-f5e9-4dcc-860b-4be20366eedc · outbound

This paper cites an unresolved cited work.

Optimal tree-decompositions with bags of bounded pathwidth Unresolved cited work

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-01T05:07:02.494330Z

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Observation 5f7cda47-1a49-4080-b50b-83f14e311229 · outbound

This paper cites Graphs that are quasi-isometric to graphs with bounded treewidth.

Optimal tree-decompositions with bags of bounded pathwidth Graphs that are quasi-isometric to graphs with bounded treewidth

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-01T05:07:02.496596Z

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Observation 68090105-0651-4484-ad08-1ad87d70a303 · outbound

This paper cites Seweryn, and Paul Wollan.

Optimal tree-decompositions with bags of bounded pathwidth Seweryn, and Paul Wollan

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-01T05:07:02.499253Z

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Observation b24b5958-521a-4b34-8f2f-279f95e91dfe · outbound

This paper cites Tree-chromatic number is not equal to path-chromatic number.

Optimal tree-decompositions with bags of bounded pathwidth Tree-chromatic number is not equal to path-chromatic number

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-01T05:07:02.501591Z

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Observation 2f3f3b9d-b919-4c8e-a623-992e0162c2e7 · outbound

This paper cites Wood, and Liana Yepremyan.

Optimal tree-decompositions with bags of bounded pathwidth Wood, and Liana Yepremyan

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-01T05:07:02.504143Z

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Observation 9f1579d4-ce3b-4a94-a5d6-8aef230594ac · outbound

This paper cites Kostochka.

Optimal tree-decompositions with bags of bounded pathwidth Kostochka

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-01T05:07:02.506690Z

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Observation 2009fe54-a745-4876-a57f-0ffecc08e52c · outbound

This paper cites Kostochka.

Optimal tree-decompositions with bags of bounded pathwidth Kostochka

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-01T05:07:02.509094Z

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Observation f7df4a7c-6fb3-402c-816b-51f1ee8e82ed · outbound

This paper cites On the relation between treewidth, tree-independence number, and tree-chromatic number of graphs.

Optimal tree-decompositions with bags of bounded pathwidth On the relation between treewidth, tree-independence number, and tree-chromatic number of graphs

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-01T05:07:02.511426Z

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Observation 71d11600-90f5-4f0c-9aba-9d167d684eff · outbound

This paper cites Product Structure and Tree-Decompositions.

Optimal tree-decompositions with bags of bounded pathwidth Product Structure and Tree-Decompositions

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-01T05:07:02.513807Z

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Observation 561ffb2a-0613-4b8f-b86f-574232bd386c · outbound

This paper cites Homomorphiesätze für Graphen.Math.

Optimal tree-decompositions with bags of bounded pathwidth Homomorphiesätze für Graphen.Math

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-01T05:07:02.516546Z

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Observation 5d40c465-4318-4494-8eb4-c289b61788e7 · outbound

This paper cites Graphs on surfaces.

Optimal tree-decompositions with bags of bounded pathwidth Graphs on surfaces

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-01T05:07:02.518924Z

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Observation 049b06fc-dd9d-4f52-ab49-9f6e0b06f072 · outbound

This paper cites The extremal function for noncomplete minors.

Optimal tree-decompositions with bags of bounded pathwidth The extremal function for noncomplete minors

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-01T05:07:02.521283Z

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Observation 85de02fa-14de-492f-b4bc-bf642d0f6cfc · outbound

This paper cites Connected tree-width.

Optimal tree-decompositions with bags of bounded pathwidth Connected tree-width

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-01T05:07:02.523694Z

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Observation 2f6d4cfc-c297-4515-bdba-b8a9d0ba9fe9 · outbound

This paper cites Sparsity, vol.

Optimal tree-decompositions with bags of bounded pathwidth Sparsity, vol

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-01T05:07:02.526414Z

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Observation 46ee67ed-887e-440b-83f9-9ca45bd6e8fb · outbound

This paper cites Asymptotic structure. I. Coarse tree-width.

Optimal tree-decompositions with bags of bounded pathwidth Asymptotic structure. I. Coarse tree-width

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-01T05:07:02.528824Z

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Observation 0a21a3c2-b22a-46e0-a7ed-12f3801cd0e6 · outbound

This paper cites an unresolved cited work.

Optimal tree-decompositions with bags of bounded pathwidth Unresolved cited work

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-01T05:07:02.531312Z

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Observation 1025c4a5-00fd-4310-a6ad-5a859568a0e1 · outbound

This paper cites an unresolved cited work.

Optimal tree-decompositions with bags of bounded pathwidth Unresolved cited work

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-01T05:07:02.533689Z

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Observation 1daceff6-43a4-4099-937d-b1ee792b65fc · outbound

This paper cites an unresolved cited work.

Optimal tree-decompositions with bags of bounded pathwidth Unresolved cited work

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-01T05:07:02.536011Z

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Observation 331dfae1-476f-4b29-990a-76b282af19c3 · outbound

This paper cites Graph minors.

Optimal tree-decompositions with bags of bounded pathwidth Graph minors

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-01T05:07:02.538285Z

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Observation 492a2a55-cb58-4554-942c-7efc41be63f1 · outbound

This paper cites Graph minors.

Optimal tree-decompositions with bags of bounded pathwidth Graph minors

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-01T05:07:02.540601Z

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Observation d02e1ef3-d712-49a9-b230-f9c0efdb637b · outbound

This paper cites Graph minors.

Optimal tree-decompositions with bags of bounded pathwidth Graph minors

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-01T05:07:02.542943Z

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Observation cc7b8db9-f689-410b-b595-6f3d21766c98 · outbound

This paper cites Quickly excluding a planar graph.J.

Optimal tree-decompositions with bags of bounded pathwidth Quickly excluding a planar graph.J

Reference 44

Resolution: unresolved; no resolver link, observed 2026-08-01T05:07:02.545446Z

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Observation 826ebef4-9ead-4850-b071-a33184d92ef2 · outbound

This paper cites Die baumweite von graphen als ein maß für die kompliziertheit algorithmischer probleme.

Optimal tree-decompositions with bags of bounded pathwidth Die baumweite von graphen als ein maß für die kompliziertheit algorithmischer probleme

Reference 45

Resolution: unresolved; no resolver link, observed 2026-08-01T05:07:02.547763Z

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Unavailable: canonical work link unavailable.

Observation 609960e3-032c-454b-9866-4d20b9d7d1cc · outbound

This paper cites Tree-chromatic number.J.

Optimal tree-decompositions with bags of bounded pathwidth Tree-chromatic number.J

Reference 46

Resolution: unresolved; no resolver link, observed 2026-08-01T05:07:02.549990Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ea0f1123-b342-4f00-a8ec-445f6f6ff1d9 · outbound

This paper cites A Menger-like property of tree-width: The finite case.J.

Optimal tree-decompositions with bags of bounded pathwidth A Menger-like property of tree-width: The finite case.J

Reference 47

Resolution: unresolved; no resolver link, observed 2026-08-01T05:07:02.552365Z

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Unavailable: canonical work link unavailable.

Observation c0c75491-ad77-45aa-b968-b077005e5d90 · outbound

This paper cites An extremal function for contractions of graphs.Math.

Optimal tree-decompositions with bags of bounded pathwidth An extremal function for contractions of graphs.Math

Reference 48

Resolution: unresolved; no resolver link, observed 2026-08-01T05:07:02.554753Z

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Observation 95967383-e3f6-44a8-b32c-3d5293a2dc50 · outbound

This paper cites The extremal function for complete minors.J.

Optimal tree-decompositions with bags of bounded pathwidth The extremal function for complete minors.J

Reference 49

Resolution: unresolved; no resolver link, observed 2026-08-01T05:07:02.557068Z

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Observation 3de6b7ef-d202-4462-ab88-a0c67e32c5d9 · outbound

This paper cites On the extremal function for graph minors.J.

Optimal tree-decompositions with bags of bounded pathwidth On the extremal function for graph minors.J

Reference 50

Resolution: unresolved; no resolver link, observed 2026-08-01T05:07:02.559451Z

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Observation a5946f16-211a-4aab-a7f1-ab35eadddc61 · outbound

This paper cites On the block number of graphs.SIAM J.

Optimal tree-decompositions with bags of bounded pathwidth On the block number of graphs.SIAM J

Reference 51

Resolution: unresolved; no resolver link, observed 2026-08-01T05:07:02.561994Z

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Unavailable: canonical work link unavailable.

Observation 00684a7f-7f14-44d3-b1eb-1e4dedccb580 · outbound

This paper cites Minor-matching hypertree width.

Optimal tree-decompositions with bags of bounded pathwidth Minor-matching hypertree width

Reference 52

Resolution: unresolved; no resolver link, observed 2026-08-01T05:07:02.564638Z

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Pith citing papers

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