Paper Citation Record · LEDGER

Minimum degree and sparse connected spanning subgraphs

As of 12 August 2026, this Paper Citation Record lists 8 of 8 outbound references and 2 inbound Pith citation observations for arXiv:2507.03264.

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

pith.paper-citation-record.v1
2507.03264 v1

Coverage vector

measured 8 of 8 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T20:39:43.660961Z

measured 10 of 10 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T18:04:31.244510Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-06T18:03:11.710103Z

Reference resolution

8 of 8 outbound references displayed

verified exact0
verified fuzzy3
unresolved5
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c991057d-1864-4281-8a6a-cfe3862f6c92 · outbound

This paper cites Alon and J.

Minimum degree and sparse connected spanning subgraphs Alon and J

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:39:44.568918Z

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 da3c623b-c4c8-40aa-95bb-673971acd8de · outbound

This paper cites an unresolved cited work.

Minimum degree and sparse connected spanning subgraphs Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-06T20:39:44.375227Z

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 a1ef6cfe-7986-4153-b589-36c1e3038bf9 · outbound

This paper cites an unresolved cited work.

Minimum degree and sparse connected spanning subgraphs Unresolved cited work

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-06T20:39:42.934052Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a576c3cf-9e38-4887-b926-d6dbf243e8d3 · outbound

This paper cites Chv´ atal, Tree-complete graph Ramsey numbers, J.

Minimum degree and sparse connected spanning subgraphs Chv´ atal, Tree-complete graph Ramsey numbers, J

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-06T20:39:43.078214Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6a16788f-d662-4da9-a8cf-b3ea4f71ba4c · outbound

This paper cites Erd˝ os, R.J.

Minimum degree and sparse connected spanning subgraphs Erd˝ os, R.J

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-06T20:39:43.263216Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3481d371-33fb-4b0a-801d-40e8102fecea · outbound

This paper cites Faudree, C.C.

Minimum degree and sparse connected spanning subgraphs Faudree, C.C

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:39:44.136365Z

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 4b3b63a8-bc7f-4324-99df-86574adb26ab · outbound

This paper cites Hall, On representatives of subsets, J.

Minimum degree and sparse connected spanning subgraphs Hall, On representatives of subsets, J

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:39:43.960654Z

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 85b5f714-beb8-4add-9ae9-711fe9c3a14b · outbound

This paper cites Zhang and Y.

Minimum degree and sparse connected spanning subgraphs Zhang and Y

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-06T20:39:43.660961Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation ba262d83-13a5-474b-913e-9ea76ab2efc7 · inbound

Ramsey numbers of sparse graphs versus disjoint books cites this paper.

Ramsey numbers of sparse graphs versus disjoint books Minimum degree and sparse connected spanning subgraphs

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-06T18:04:31.244510Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4f7ee7af-eb8e-4532-9eae-f9a033899fe7 · inbound

Fan-goodness of sparse graphs cites this paper.

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.