Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T19:27:18.850107Z
Paper Citation Record · LEDGER
A simple layered-wheel-like construction
As of 17 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 0 inbound Pith citation observations for arXiv:2507.06169.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
23 of 23 outbound references displayed
- verified exact1
- verified fuzzy21
- unresolved1
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 51316712-6454-4361-a900-55f658649379 · outbound
This paper cites On the tree-width of even-hole-free graphs.
A simple layered-wheel-like construction On the tree-width of even-hole-free graphs
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:27:21.785537Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation d44319f5-f472-4cc9-96ad-cd4ab1a944c1 · outbound
This paper cites Induced subgraphs and tree decompositions II. Toward walls and their line graphs in graphs of bounded degree.
A simple layered-wheel-like construction Induced subgraphs and tree decompositions II. Toward walls and their line graphs in graphs of bounded degree
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:27:21.774737Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation ca175e6d-b7f4-4bf8-b2e8-1dbe443f31f9 · outbound
This paper cites Submodular functions and perfect graphs.
A simple layered-wheel-like construction Submodular functions and perfect graphs
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:27:21.762714Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation d4e7f3b2-608e-4187-8aab-d716c31edd4f · outbound
This paper cites Induced subgraphs and tree decompositions V. One neighbor in a hole.
A simple layered-wheel-like construction Induced subgraphs and tree decompositions V. One neighbor in a hole
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:27:21.752128Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 8355d40c-55bb-42b5-a7b4-78f5f816407f · outbound
This paper cites Every Graph is Essential to Large Treewidth.
A simple layered-wheel-like construction Every Graph is Essential to Large Treewidth
Reference 5
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T19:27:17.190884Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fa44a959-9e10-4474-8ff1-274112477ed2 · outbound
This paper cites Induced subgraphs and tree decompositions XIII. Basic obstructions inH-free graphs for finiteH.
A simple layered-wheel-like construction Induced subgraphs and tree decompositions XIII. Basic obstructions inH-free graphs for finiteH
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:27:21.741850Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 7a28aae5-367c-4ebd-9e82-ff8309628984 · outbound
This paper cites Induced subgraphs and tree decompositions IX. Grid theorem for perforated graphs.
A simple layered-wheel-like construction Induced subgraphs and tree decompositions IX. Grid theorem for perforated graphs
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:27:21.731918Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 3d606722-9c17-455a-b69a-3e6e6c7d6e38 · outbound
This paper cites Induced subgraphs and tree decompositions XII. Grid theorem for pinched graphs.
A simple layered-wheel-like construction Induced subgraphs and tree decompositions XII. Grid theorem for pinched graphs
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:27:21.723191Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation e3f04792-52e2-4666-b186-4ef3896aeaea · outbound
This paper cites Sparse graphs with bounded induced cycle packing number have logarithmic treewidth.
A simple layered-wheel-like construction Sparse graphs with bounded induced cycle packing number have logarithmic treewidth
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:27:21.703521Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 29785b00-d3cd-40b3-af26-ff8a3875e574 · outbound
This paper cites Induced subgraphs and tree decompositions XVI. Complete bipartite induced minors.
A simple layered-wheel-like construction Induced subgraphs and tree decompositions XVI. Complete bipartite induced minors
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:27:21.490954Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 0035bb93-b11f-4553-8e0f-03d8a6c0b8ec · outbound
This paper cites Induced subgraphs and tree decompositions XVII. Anticomplete sets of large treewidth.
A simple layered-wheel-like construction Induced subgraphs and tree decompositions XVII. Anticomplete sets of large treewidth
Reference 11
- Resolution
- verified exact
- raw_fallback, observed 2026-08-06T19:27:19.049119Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 8870c1d4-24e7-46ec-b47e-918e22ced411 · outbound
This paper cites On treewidth and maximum cliques.
A simple layered-wheel-like construction On treewidth and maximum cliques
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:27:21.247602Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation dc20ea76-8b29-4ad7-bb56-08b9c21735f2 · outbound
This paper cites Cygan, F.
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:27:20.972862Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 20cb789e-891b-4152-8b89-e9617290cf08 · outbound
This paper cites Problem Session.
A simple layered-wheel-like construction Problem Session
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:27:20.749625Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 1488d433-d806-4c5c-9ee2-196b77c87be8 · outbound
This paper cites Coloring polygon visibility graphs and their generalizations.
A simple layered-wheel-like construction Coloring polygon visibility graphs and their generalizations
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:27:20.430609Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation a16ceb17-a0db-4764-b1e3-31a1da60423b · outbound
This paper cites Parallel recognition of series-parallel graphs.
A simple layered-wheel-like construction Parallel recognition of series-parallel graphs
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:27:20.217537Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 0b42a324-01a1-44b1-8a05-0358937c2d42 · outbound
This paper cites Parameters tied to treewidth.
A simple layered-wheel-like construction Parameters tied to treewidth
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:27:19.927958Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation d52bbd16-2357-4743-93d3-abe800c470ed · outbound
This paper cites Grid induced minor theorem for graphs of small degree.
A simple layered-wheel-like construction Grid induced minor theorem for graphs of small degree
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:27:19.771421Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation be49135b-8cf8-4347-984f-7ea5da758281 · outbound
This paper cites Unavoidable induced subgraphs of large graphs.
A simple layered-wheel-like construction Unavoidable induced subgraphs of large graphs
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:27:19.615075Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation f5f823c1-a1f3-4698-a303-cd0cead42085 · outbound
This paper cites Graph minors. II. Algorithmic aspects of tree-width.
A simple layered-wheel-like construction Graph minors. II. Algorithmic aspects of tree-width
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:27:19.496931Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 59741ab2-0219-4e42-981c-3b2976501727 · outbound
This paper cites Graph minors. V. Excluding a planar graph.
A simple layered-wheel-like construction Graph minors. V. Excluding a planar graph
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:27:19.393826Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 7da87a0d-6507-46e2-be95-79d5439df410 · outbound
This paper cites (Theta, triangle)-free and (even hole,K4)-free graphs. Part 1: Layered wheels.
A simple layered-wheel-like construction (Theta, triangle)-free and (even hole,K4)-free graphs. Part 1: Layered wheels
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:27:19.274933Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 5cea4eed-7cf0-4231-969d-fc7dd14d60ca · outbound
This paper cites Trotignon.
A simple layered-wheel-like construction Trotignon
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:27:19.171454Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Pith citing papers
No inbound Pith citation observations are available.