Paper Citation Record · LEDGER

Treewidth of Products of Graphs with High Treewidth

As of 11 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 0 inbound Pith citation observations for arXiv:2607.16778.

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

pith.paper-citation-record.v1
2607.16778 v1

Coverage vector

measured 21 of 21 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-01T20:07:09.478517Z

measured 21 of 21 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

21 of 21 outbound references displayed

verified exact0
verified fuzzy0
unresolved21
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 6ab9625b-1ca0-4f6e-8f7f-2fa8318cb8ad · outbound

This paper cites Treewidth and gonality of glued grid graphs.Discrete Appl.

Treewidth of Products of Graphs with High Treewidth Treewidth and gonality of glued grid graphs.Discrete Appl

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-01T20:07:06.632467Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5d13a751-d89f-4a37-9672-33749e5b36f3 · outbound

This paper cites Two short proofs concerning tree- decompositions.

Treewidth of Products of Graphs with High Treewidth Two short proofs concerning tree- decompositions

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-01T20:07:06.734294Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9a8447f6-aa8d-412b-b8e0-8c07ac79c7d8 · outbound

This paper cites Quickly excluding a forest.

Treewidth of Products of Graphs with High Treewidth Quickly excluding a forest

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-01T20:07:06.889261Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a468f5e9-195f-4a14-8d20-31ab62e22b89 · outbound

This paper cites Bodlaender.

Treewidth of Products of Graphs with High Treewidth Bodlaender

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-01T20:07:07.046725Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9337159e-90e0-4cd2-b80c-9a474fa80f1e · outbound

This paper cites Graph minors I: A short proof of the path-width theorem.

Treewidth of Products of Graphs with High Treewidth Graph minors I: A short proof of the path-width theorem

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-01T20:07:07.196730Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fa6de893-f71c-4f3b-9a90-f7cdfade0768 · outbound

This paper cites Graph theory, volume 173 of Graduate Texts in Mathemat- ics.

Treewidth of Products of Graphs with High Treewidth Graph theory, volume 173 of Graduate Texts in Mathemat- ics

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-01T20:07:07.372509Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3a0bd8a9-bc45-492a-b8e6-844b3c2b3965 · outbound

This paper cites Grid Minors and Products.

Treewidth of Products of Graphs with High Treewidth Grid Minors and Products

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-01T20:07:07.520639Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cd99cce5-806c-4181-b6ad-56f4d1a4ad9e · outbound

This paper cites On tree width, bramble size, and expansion.

Treewidth of Products of Graphs with High Treewidth On tree width, bramble size, and expansion

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-01T20:07:07.690101Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 17228568-a9ae-4709-8e8d-01bd017c5de4 · outbound

This paper cites Harvey and David R.

Treewidth of Products of Graphs with High Treewidth Harvey and David R

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-01T20:07:07.814048Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 01962104-ab80-4644-b124-db215e8560d6 · outbound

This paper cites Harvey and David R.

Treewidth of Products of Graphs with High Treewidth Harvey and David R

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-01T20:07:07.988248Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8517a8b9-7e1a-4809-8893-3ecccdd9b624 · outbound

This paper cites an unresolved cited work.

Treewidth of Products of Graphs with High Treewidth Unresolved cited work

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-01T20:07:08.165113Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 56039e72-c879-49e5-ac1f-ed5c51ea8102 · outbound

This paper cites Lower bounds for treewidth of product graphs.

Treewidth of Products of Graphs with High Treewidth Lower bounds for treewidth of product graphs

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-01T20:07:08.293281Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a3cbfda3-c631-4cd8-9888-25e08f32648c · outbound

This paper cites Thilikos, and Dim- itris Zoros.

Treewidth of Products of Graphs with High Treewidth Thilikos, and Dim- itris Zoros

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-01T20:07:08.462063Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 263d4020-3dbb-41d1-b44b-18c1110049e8 · outbound

This paper cites Achievable sets, brambles, and sparse treewidth obstructions.

Treewidth of Products of Graphs with High Treewidth Achievable sets, brambles, and sparse treewidth obstructions

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-01T20:07:08.564229Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f4a51b95-0730-4272-88e3-5d8c140504f4 · outbound

This paper cites A simple proof of the tree-width duality theorem.

Treewidth of Products of Graphs with High Treewidth A simple proof of the tree-width duality theorem

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-01T20:07:08.745082Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c41337c4-8aed-40b8-904b-7f7a23505d20 · outbound

This paper cites an unresolved cited work.

Treewidth of Products of Graphs with High Treewidth Unresolved cited work

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-01T20:07:08.864079Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 80ea7bfd-6fad-4ae6-8e1f-146f7f1bfa1f · outbound

This paper cites an unresolved cited work.

Treewidth of Products of Graphs with High Treewidth Unresolved cited work

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-01T20:07:08.982026Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fcee37b7-6394-4bbe-bee7-927de0f9215d · outbound

This paper cites Graph minors.

Treewidth of Products of Graphs with High Treewidth Graph minors

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-01T20:07:09.117146Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5852739d-cf01-42fa-8c1b-fc0d928e5392 · outbound

This paper cites A shorter proof of the path-width theorem.

Treewidth of Products of Graphs with High Treewidth A shorter proof of the path-width theorem

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-01T20:07:09.231957Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d66ae973-b49c-4d21-92a5-807e2ca80333 · outbound

This paper cites Graph searching and a min-max theorem for tree-width.

Treewidth of Products of Graphs with High Treewidth Graph searching and a min-max theorem for tree-width

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-01T20:07:09.350540Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0449db9d-eae2-493e-93d9-5d5eb603332a · outbound

This paper cites an unresolved cited work.

Treewidth of Products of Graphs with High Treewidth Unresolved cited work

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-01T20:07:09.478517Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.