Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T18:03:11.598906Z
Paper Citation Record · LEDGER
Fan-goodness of sparse graphs
As of 12 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 2 inbound Pith citation observations for arXiv:2507.09832.
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 2026-08-12T06:34:41.77262+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-05-22T09:19:39.848194Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-05-22T09:21:21.476154Z
Reference resolution
27 of 27 outbound references displayed
- verified exact4
- verified fuzzy20
- unresolved3
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 931a664b-9e53-405a-8f2d-10309170df0e · outbound
This paper cites Ajtai, J.
Fan-goodness of sparse graphs Ajtai, J
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T18:03:11.934720Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 5fb3f62f-f591-4f17-b518-e04971f979cc · outbound
This paper cites Ajtai, J.
Fan-goodness of sparse graphs Ajtai, J
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T18:03:11.926058Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation ff3d85e8-c28b-4ea4-9d0a-ad6a25f40b66 · outbound
This paper cites Bondy and P.
Fan-goodness of sparse graphs Bondy and P
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T18:03:11.917672Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation fec22fed-2ca1-4f00-b889-152a147a4627 · outbound
This paper cites Brennan, Ramsey numbers of trees and unicyclic graphs versus fans, Discrete Math.
Fan-goodness of sparse graphs Brennan, Ramsey numbers of trees and unicyclic graphs versus fans, Discrete Math
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T18:03:11.908498Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 818fc97e-ebe9-4088-809e-a01202e7343a · outbound
This paper cites Burr, Ramsey numbers involving graphs with long suspended paths, J.
Fan-goodness of sparse graphs Burr, Ramsey numbers involving graphs with long suspended paths, J
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T18:03:11.899992Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation b2b05b3c-8232-451b-a579-8181d1a9f132 · outbound
This paper cites an unresolved cited work.
Fan-goodness of sparse graphs Unresolved cited work
Reference 6
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T18:03:11.891671Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 31353874-7ad3-4315-9613-482662ae00e1 · outbound
This paper cites an unresolved cited work.
Fan-goodness of sparse graphs Unresolved cited work
Reference 7
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T18:03:11.882294Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation c71a2a3d-fa22-4c00-8d00-e9e80211f1aa · outbound
This paper cites Fan-complete Ramsey numbers.
Reference 8
- Resolution
- verified exact
- local_arxiv, observed 2026-08-06T18:03:11.729124Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 43127bb1-339c-4828-8412-3244c8ba3ddb · outbound
This paper cites Chv´ atal, Tree-complete graph Ramsey numbers, J.
Fan-goodness of sparse graphs Chv´ atal, Tree-complete graph Ramsey numbers, J
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T18:03:11.873020Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation f53171f1-a796-43d8-ad8a-94336b77b0d1 · outbound
This paper cites Chv´ atal and F.
Fan-goodness of sparse graphs Chv´ atal and F
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T18:03:11.864214Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 59d0bc5a-8df1-483c-8c14-eecafda15d7f · outbound
This paper cites Erd˝ os, R.J.
Fan-goodness of sparse graphs Erd˝ os, R.J
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T18:03:11.855793Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 8510fecf-415b-4fd6-8003-0863c589df79 · outbound
This paper cites Erd˝ os, R.J.
Fan-goodness of sparse graphs Erd˝ os, R.J
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T18:03:11.847738Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation a99777a7-cdad-4a8c-8b5b-756620a0ee10 · outbound
This paper cites Faudree, R.H.
Fan-goodness of sparse graphs Faudree, R.H
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T18:03:11.838852Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 97b965d2-fc69-49f9-b391-c4d4f9a3380b · outbound
This paper cites Hall, On representatives of subsets, J.
Fan-goodness of sparse graphs Hall, On representatives of subsets, J
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T18:03:11.830487Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 957c05f7-75a0-4750-8c07-7b6cb756feb2 · outbound
This paper cites Hu and Y.
Fan-goodness of sparse graphs Hu and Y
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T18:03:11.822496Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 4f7ee7af-eb8e-4532-9eae-f9a033899fe7 · outbound
This paper cites Minimum degree and sparse connected spanning subgraphs.
Fan-goodness of sparse graphs Minimum degree and sparse connected spanning subgraphs
Reference 16
- Resolution
- verified exact
- local_arxiv, observed 2026-08-06T18:03:11.714732Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 0069d83c-7edd-4385-8ee5-222b53c5ac44 · outbound
This paper cites Kadota, T.
Fan-goodness of sparse graphs Kadota, T
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T18:03:11.813899Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 8488aa0e-0710-4da2-9310-e33150dc9177 · outbound
This paper cites an unresolved cited work.
Fan-goodness of sparse graphs Unresolved cited work
Reference 18
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T18:03:11.805242Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 15e41a6a-a2b1-4d25-a3b6-9ce6b273f299 · outbound
This paper cites Li and C.C.
Fan-goodness of sparse graphs Li and C.C
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T18:03:11.797285Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation d9e05d3a-3e1b-436c-90d6-828a99ba3923 · outbound
This paper cites Rousseau and J.
Fan-goodness of sparse graphs Rousseau and J
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T18:03:11.788660Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation a3a0c6c6-7524-4e0c-a819-a976c46a17b1 · outbound
This paper cites Shearer, A note on the independence number of triangle-free graphs, Discrete Math.
Fan-goodness of sparse graphs Shearer, A note on the independence number of triangle-free graphs, Discrete Math
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T18:03:11.779320Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 1c108a30-a772-4292-bfc2-4d51e95ad19d · outbound
This paper cites Shi, Ramsey numbers of long cycles versus books or wheels, European J.
Fan-goodness of sparse graphs Shi, Ramsey numbers of long cycles versus books or wheels, European J
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T18:03:11.770087Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation ac146dd2-f1d5-4828-9f24-078243110548 · outbound
This paper cites Baskoro, and H.J.
Fan-goodness of sparse graphs Baskoro, and H.J
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T18:03:11.760532Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation c4afbd5e-0787-4624-bf5a-d289f2aed355 · outbound
This paper cites Wang and J.
Fan-goodness of sparse graphs Wang and J
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T18:03:11.751130Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 40869290-6ab2-4fc1-a305-4299f9873ea2 · outbound
This paper cites Zhang, H.
Fan-goodness of sparse graphs Zhang, H
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T18:03:11.740529Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 76789398-0eb9-4257-b0ac-b91153c39857 · outbound
This paper cites Ramsey goodness of fans.
Reference 26
- Resolution
- verified exact
- local_arxiv, observed 2026-08-06T18:03:11.700794Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 25d1d174-0fa9-4116-86da-9fa56d92d216 · outbound
This paper cites Zhang and Y.
Fan-goodness of sparse graphs Zhang and Y
Reference 27
- Resolution
- verified exact
- raw_fallback, observed 2026-08-06T18:03:11.686973Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Pith citing papers
Observation d171dcd1-4da7-41c9-84a4-011d7f4d650e · inbound
AutoRubric-T2I: Robust Rule-Based Reward Model for Text-to-Image Alignment cites this paper.
AutoRubric-T2I: Robust Rule-Based Reward Model for Text-to-Image Alignment Fan-goodness of sparse graphs
Reference 22
- Resolution
- verified exact
- arxiv_id, observed 2026-05-20T12:13:16.115834Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 85d4f9d1-e07d-4449-a3f0-3ec25478ca5a · inbound
AutoRubric-T2I: Robust Rule-Based Reward Model for Text-to-Image Alignment cites this paper.
AutoRubric-T2I: Robust Rule-Based Reward Model for Text-to-Image Alignment Fan-goodness of sparse graphs
Reference 22
- Resolution
- verified exact
- arxiv_id, observed 2026-05-22T09:21:21.479421Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.