Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T13:57:57.319457Z
Paper Citation Record · LEDGER
Circles and line segments as independence attractors of graphs
As of 8 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 1 inbound Pith citation observation for arXiv:2505.20898.
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 2026-08-08T06:32:00.761636+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-03T09:23:56.777533Z
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
15 of 15 outbound references displayed
- verified exact0
- verified fuzzy8
- unresolved7
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation a5d4254c-33b0-4cef-831e-cf48f119045a · outbound
This paper cites Barik, T.
Circles and line segments as independence attractors of graphs Barik, T
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:57:59.789950Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 7689e96b-4103-460b-98bf-315b6e60bc41 · outbound
This paper cites Alikhani and Y.
Circles and line segments as independence attractors of graphs Alikhani and Y
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:57:59.647059Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 79a84c92-5188-4bf6-bd45-4c87da58e245 · outbound
This paper cites an unresolved cited work.
Circles and line segments as independence attractors of graphs Unresolved cited work
Reference 3
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T13:57:59.564504Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation e6e3d1e9-0d72-4842-810e-7ae782a5c79b · outbound
This paper cites Beaton, J.
Circles and line segments as independence attractors of graphs Beaton, J
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:57:59.449691Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 5effbcc1-23c9-4df1-ac3b-dc41579f8b88 · outbound
This paper cites Bollobas, Modern Graph Theory, Springer, New York, (1998).
Circles and line segments as independence attractors of graphs Bollobas, Modern Graph Theory, Springer, New York, (1998)
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:57:59.262560Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation c0c5a156-33a4-468e-8af2-3fddb0aa2032 · outbound
This paper cites an unresolved cited work.
Circles and line segments as independence attractors of graphs Unresolved cited work
Reference 6
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T13:57:59.185039Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 78a20c98-0532-4358-920c-83b37d4f6b27 · outbound
This paper cites an unresolved cited work.
Circles and line segments as independence attractors of graphs Unresolved cited work
Reference 7
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T13:57:59.032734Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 48262dd8-0b72-4c95-b61f-dcbfdafb4159 · outbound
This paper cites an unresolved cited work.
Circles and line segments as independence attractors of graphs Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T13:57:58.864339Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation e30d84e6-c1c1-46da-a04e-5f1cf071c2dd · outbound
This paper cites Chudnovsky and P.
Circles and line segments as independence attractors of graphs Chudnovsky and P
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:57:58.688781Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation e18fa598-e3a2-4544-a40c-fd9a96355c37 · outbound
This paper cites Csikvari, Note on the Smallest Root of the Independence Polynomial, Combinatorics, Probability and Computing, 22(1), 1--8, (2013).
Circles and line segments as independence attractors of graphs Csikvari, Note on the Smallest Root of the Independence Polynomial, Combinatorics, Probability and Computing, 22(1), 1--8, (2013)
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:57:58.481366Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation d6701fd9-af4d-439a-934c-bcebf1e663f9 · outbound
This paper cites Gutman and F.
Circles and line segments as independence attractors of graphs Gutman and F
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:57:58.230483Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation fc7b01f0-8b21-4c1c-9808-7c28710148f8 · outbound
This paper cites Zhang, A way to construct independence equivalent graphs, Appl.
Circles and line segments as independence attractors of graphs Zhang, A way to construct independence equivalent graphs, Appl
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:57:57.963429Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 8687a8f9-d0ae-4a78-9e95-6eb1e7abfcd0 · outbound
This paper cites an unresolved cited work.
Circles and line segments as independence attractors of graphs Unresolved cited work
Reference 13
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T13:57:57.799090Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 3e2c25e9-a339-4e4e-bdf1-2d888bd086f0 · outbound
This paper cites an unresolved cited work.
Circles and line segments as independence attractors of graphs Unresolved cited work
Reference 14
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T13:57:57.652751Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 04754af7-946c-4f22-b2b7-0a5959407afd · outbound
This paper cites an unresolved cited work.
Circles and line segments as independence attractors of graphs Unresolved cited work
Reference 15
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T13:57:57.495265Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Pith citing papers
Observation ae37d351-6ff7-473b-b5f2-4e636ecac7e6 · inbound
Structural Classification of a Graph with Independence Number Five cites this paper.
Structural Classification of a Graph with Independence Number Five Circles and line segments as independence attractors of graphs
Reference 8
- Resolution
- unresolved
- no resolver link, observed 2026-08-03T09:23:56.777533Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.