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Paper Citation Record · LEDGER

Strong odd colorings in graph classes of bounded expansion

As of 11 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 0 inbound Pith citation observations for arXiv:2505.15288.

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

pith.paper-citation-record.v1
2505.15288 v1

Coverage vector

measured 16 of 16 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T15:30:57.086970Z

measured 16 of 16 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

16 of 16 outbound references displayed

  • verified exact3
  • verified fuzzy8
  • unresolved5
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation eb3fddd1-2b1a-4fc2-bea2-7398d4d074e5 · outbound

This paper cites Interpreting nowhere dense graph classes as a classical notion of model theory.

Strong odd colorings in graph classes of bounded expansion Interpreting nowhere dense graph classes as a classical notion of model theory

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:30:59.184874Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T15:30:55.936290Z digest=sha256:ee58b3cc36e1e2e82bf6716953feba7681a1e56068913f770903b9ed5a3bab90

Observation 8c6851fa-f0b6-4683-95b4-57b8f0642981 · outbound

This paper cites On strong odd colorings of graphs.

Strong odd colorings in graph classes of bounded expansion On strong odd colorings of graphs

Reference 2

Resolution
verified exact
local_arxiv, observed 2026-08-07T15:30:57.519762Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T15:30:56.019632Z digest=sha256:32d7ee627fad859155bd6ea6b7f086b4e511fc7a400c164f745464fbe5eae7f3

Observation 31547353-d7c8-47fd-9666-2a025ae448f6 · outbound

This paper cites Seymour, and Peter Winkler.

Strong odd colorings in graph classes of bounded expansion Seymour, and Peter Winkler

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:30:59.115302Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T15:30:56.084650Z digest=sha256:2191a27c1f8edcdd8f7e75adbb1ee3f732b1845ca0cf1f10899b10c802cac9c2

Observation f8766918-b3e5-4fe3-8dac-9461ca9895f5 · outbound

This paper cites Progressive al- gorithms for domination and independence.

Strong odd colorings in graph classes of bounded expansion Progressive al- gorithms for domination and independence

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:30:58.885806Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T15:30:56.120424Z digest=sha256:0e5c8274884b3e094dd4cc40f37b9eaab4ad1877a370e70c780c41b02d9da243

Observation 627581df-44e4-4e26-b73c-6f16a52b64a0 · outbound

This paper cites First-order interpretations of bounded expansion classes.

Strong odd colorings in graph classes of bounded expansion First-order interpretations of bounded expansion classes

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-07T15:30:56.185369Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T15:30:56.185369Z digest=sha256:4ca975be8cf380dfb83448cde2ee24adc78dc8fea6c16c462f466d5db3144114

Observation f2904ad2-f826-4eb6-b6a4-fc63ae2f2f83 · outbound

This paper cites Shrub- depth: Capturing height of dense graphs.

Strong odd colorings in graph classes of bounded expansion Shrub- depth: Capturing height of dense graphs

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-07T15:30:56.264627Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T15:30:56.264627Z digest=sha256:33ba7bd767490d757681060eb7e13bfdfada0b8a3bcc87876fe9e074af3aebd8

Observation 443f7cbb-145b-4329-af4d-caea722dc7c4 · outbound

This paper cites Strong odd coloring in minor-closed classes.

Strong odd colorings in graph classes of bounded expansion Strong odd coloring in minor-closed classes

Reference 7

Resolution
verified exact
local_arxiv, observed 2026-08-07T15:30:57.383055Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T15:30:56.327791Z digest=sha256:95538feebbfe42db328fe48e62802e1c33e2dd233888be48b2b17a7f88faa681

Observation 7f25c2fd-40de-47d7-9065-b6ebbc2569e9 · outbound

This paper cites Odd colourings, conflict-free colourings and strong colouring numbers.

Strong odd colorings in graph classes of bounded expansion Odd colourings, conflict-free colourings and strong colouring numbers

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:30:58.666916Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T15:30:56.413081Z digest=sha256:8896416c006adff3a4c709573aa2ffa90800780a83baa509307336ecbd597bc3

Observation baa221ba-af54-45fb-8f66-a8b5c4d296b9 · outbound

This paper cites Strong odd coloring of sparse graphs.

Strong odd colorings in graph classes of bounded expansion Strong odd coloring of sparse graphs

Reference 9

Resolution
verified exact
local_arxiv, observed 2026-08-07T15:30:57.222310Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T15:30:56.485370Z digest=sha256:744f7f17be04cc9d52c8c0cfc55d4c447f6f29ad271aaae6262e0f78f4039e05

Observation c884adbb-ac54-41d9-857c-ece8065edfaf · outbound

This paper cites Proper conflict-free list-coloring, odd minors, subdivisions, and layered treewidth.

Strong odd colorings in graph classes of bounded expansion Proper conflict-free list-coloring, odd minors, subdivisions, and layered treewidth

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:30:58.397266Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T15:30:56.585355Z digest=sha256:58c012daa9fb48c1654b77f13e4e49d39890dd766fe1fd7d6c654597ec829946

Observation fb90e341-5f62-43b1-9150-fb3c6da4d5ca · outbound

This paper cites On nowhere dense graphs.

Strong odd colorings in graph classes of bounded expansion On nowhere dense graphs

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:30:58.072833Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T15:30:56.646828Z digest=sha256:77403f8f7a3e3f7e598e7ee107a2da11a73bb2dcf3e1fbeba94436282eb3536b

Observation 5ca09a3a-9e69-4502-b974-34e83e751bc6 · outbound

This paper cites Sparsity — Graphs, Structures, and Algorithms , vol- ume 28 of Algorithms and combinatorics.

Strong odd colorings in graph classes of bounded expansion Sparsity — Graphs, Structures, and Algorithms , vol- ume 28 of Algorithms and combinatorics

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-07T15:30:56.716593Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T15:30:56.716593Z digest=sha256:c4c3c9550a09539204cc69f04cb7b9574e332e966ec9b852798072b47445b5ae

Observation dcbc4c09-55a6-4078-a159-ce54f5555399 · outbound

This paper cites Clustering powers of sparse graphs.

Strong odd colorings in graph classes of bounded expansion Clustering powers of sparse graphs

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:30:57.786620Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T15:30:56.818221Z digest=sha256:26f7ec9aa497259865fde462b1728df38087f42933e8dd6c3551cf9d23cd599a

Observation 2ea7a323-b867-44be-86d0-366c3f4b0ac7 · outbound

This paper cites Sparsity.

Strong odd colorings in graph classes of bounded expansion Sparsity

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-07T15:30:56.908271Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T15:30:56.908271Z digest=sha256:7e002aca3c5aee874b462f8b27fadae3ffa685e87d13c1d4a76e104703ccf18a

Observation 40c2f002-05bc-459f-99c3-1c8fb7f223f0 · outbound

This paper cites Graph classes through the lens of logic.

Strong odd colorings in graph classes of bounded expansion Graph classes through the lens of logic

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-07T15:30:56.983686Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T15:30:56.983686Z digest=sha256:71173ba08ae61db195c4049c5d8b725d897a3bb3054c72aa3b824957b930ff70

Observation db2c75fb-56a8-4bdf-9c25-1df175f21e63 · outbound

This paper cites Kernelization and approximation of distance-r independent sets on nowhere dense graphs.

Strong odd colorings in graph classes of bounded expansion Kernelization and approximation of distance-r independent sets on nowhere dense graphs

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:30:57.676448Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T15:30:57.086970Z digest=sha256:441a802742e69c9cfd56fc084838e87757e613ab5141a69369970ee536fed5d6

Pith citing papers

No inbound Pith citation observations are available.