Paper Citation Record · LEDGER

A Fan-type condition involving bipartite independence number for hamiltonicity in graphs

As of 8 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 1 inbound Pith citation observation for arXiv:2506.02687.

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

pith.paper-citation-record.v1
2506.02687 v3

Coverage vector

measured 16 of 16 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T11:37:00.238908Z

measured 17 of 17 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T05:02:10.577964Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-07T05:02:11.171041Z

Reference resolution

16 of 16 outbound references displayed

verified exact1
verified fuzzy12
unresolved3
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 2d602a39-9fba-41d2-b8eb-242b5a6acf53 · outbound

This paper cites Bondy and U.S.R.

A Fan-type condition involving bipartite independence number for hamiltonicity in graphs Bondy and U.S.R

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:37:00.795396Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 88959538-b037-496e-97aa-997896ed6511 · outbound

This paper cites Chen, Hamilton-connected, vertex-pancyclic and bipartite holes, Discrete Math., 345 (2022) 113158.

A Fan-type condition involving bipartite independence number for hamiltonicity in graphs Chen, Hamilton-connected, vertex-pancyclic and bipartite holes, Discrete Math., 345 (2022) 113158

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:37:00.782420Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation fe9b6765-d3dc-45fb-aff0-5daee4674128 · outbound

This paper cites Chv´ atal and P.

A Fan-type condition involving bipartite independence number for hamiltonicity in graphs Chv´ atal and P

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:37:00.769139Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation f4a15795-c49b-443c-84dc-85bb1c68fccb · outbound

This paper cites Dirac, Some theorems on abstract graphs, Proc.

A Fan-type condition involving bipartite independence number for hamiltonicity in graphs Dirac, Some theorems on abstract graphs, Proc

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:37:00.755848Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation b2750a74-3e8f-4520-a31b-d722477036cf · outbound

This paper cites Dragani´ c, D.M.

A Fan-type condition involving bipartite independence number for hamiltonicity in graphs Dragani´ c, D.M

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:37:00.742148Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation bafa0e21-8f1c-4395-a91d-83b4ca4eebde · outbound

This paper cites Fan, New sufficient conditions for cycles in graphs, J.

A Fan-type condition involving bipartite independence number for hamiltonicity in graphs Fan, New sufficient conditions for cycles in graphs, J

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:37:00.728299Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 8e9eb060-9055-4a2c-8b4c-77e124639c15 · outbound

This paper cites Faudree, R.J.

A Fan-type condition involving bipartite independence number for hamiltonicity in graphs Faudree, R.J

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:37:00.714566Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation cf03705c-8de6-4639-815a-0c80d3a88327 · outbound

This paper cites Gould, Recent advances on the hamiltonian problem: Survey III, Graphs Combin., 30 (2014) 1–46.

A Fan-type condition involving bipartite independence number for hamiltonicity in graphs Gould, Recent advances on the hamiltonian problem: Survey III, Graphs Combin., 30 (2014) 1–46

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:37:00.700293Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 3357c7cf-0623-46f8-acd6-d45342196282 · outbound

This paper cites an unresolved cited work.

A Fan-type condition involving bipartite independence number for hamiltonicity in graphs Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:37:00.684020Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation ecc8a82e-614d-449e-b1bf-b413796c37cb · outbound

This paper cites Li, Generalizations of Dirac’s theorem in hamiltonian problem-A survey, Discrete Math., 313 (2013) 2034–2053.

A Fan-type condition involving bipartite independence number for hamiltonicity in graphs Li, Generalizations of Dirac’s theorem in hamiltonian problem-A survey, Discrete Math., 313 (2013) 2034–2053

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:37:00.669855Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 7dec00b2-8026-4be6-8fee-376f6af7b43a · outbound

This paper cites An Ore-type condition for hamiltonicity in graphs.

A Fan-type condition involving bipartite independence number for hamiltonicity in graphs An Ore-type condition for hamiltonicity in graphs

Reference 11

Resolution: verified exact; local_arxiv, observed 2026-08-07T11:37:00.453690Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 1830c3ba-f7b4-493e-b116-9c5d31a62a7b · outbound

This paper cites McDiarmid and N.

A Fan-type condition involving bipartite independence number for hamiltonicity in graphs McDiarmid and N

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:37:00.656092Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation f7ffaf06-70ee-4fbc-9407-8632318a103a · outbound

This paper cites Ore, Note on Hamilton circuits, Amer.

A Fan-type condition involving bipartite independence number for hamiltonicity in graphs Ore, Note on Hamilton circuits, Amer

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:37:00.642366Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 7aae1990-9f71-4372-8f78-9f9e8981ce50 · outbound

This paper cites Ore, Hamilton connected graphs, J.

A Fan-type condition involving bipartite independence number for hamiltonicity in graphs Ore, Hamilton connected graphs, J

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:37:00.628273Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 9e340d32-14e6-4e90-a848-c3c038ecbc20 · outbound

This paper cites West, Introduction to Graph Theory, Prentice Hall, Inc., 1996.

A Fan-type condition involving bipartite independence number for hamiltonicity in graphs West, Introduction to Graph Theory, Prentice Hall, Inc., 1996

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-07T11:37:00.122742Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e7a7f508-8d6f-4af5-9139-0b26262d2fe6 · outbound

This paper cites an unresolved cited work.

A Fan-type condition involving bipartite independence number for hamiltonicity in graphs Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:37:00.604386Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Pith citing papers

Observation 87012463-f47f-4c34-93b9-b9ffc19b92f8 · inbound

Cycles and paths through vertices whose degrees are at least the bipartite-hole-number cites this paper.

Cycles and paths through vertices whose degrees are at least the bipartite-hole-number A Fan-type condition involving bipartite independence number for hamiltonicity in graphs

Reference 12

Resolution: verified exact; local_arxiv, observed 2026-08-07T05:02:11.239300Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.