Paper Citation Record · LEDGER

Nordhaus-Gaddum inequality for the spectral radius of a graph of order $n$

As of 19 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 1 inbound Pith citation observation for arXiv:2506.11401.

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

pith.paper-citation-record.v1
2506.11401 v1

Coverage vector

measured 14 of 14 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T04:21:05.271992Z

measured 15 of 15 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T22:08:14.551072Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

14 of 14 outbound references displayed

verified exact1
verified fuzzy8
unresolved5
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 80c9eba4-8e7c-4138-8a1f-a1b3b935fa3b · outbound

This paper cites Aouchiche, F.

Nordhaus-Gaddum inequality for the spectral radius of a graph of order $n$ Aouchiche, F

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:21:05.459371Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation ceb9656f-5711-40ee-9c36-b8a1e5bc65ec · outbound

This paper cites Aouchiche, P.

Nordhaus-Gaddum inequality for the spectral radius of a graph of order $n$ Aouchiche, P

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:21:05.448073Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 55b56bcd-aefa-44a0-a7ed-7a49cd8c2536 · outbound

This paper cites an unresolved cited work.

Nordhaus-Gaddum inequality for the spectral radius of a graph of order $n$ Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-07T04:21:05.436645Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation cdd856c7-53f6-4029-9e22-2cdbefe04939 · outbound

This paper cites Cheng and C.-w.

Nordhaus-Gaddum inequality for the spectral radius of a graph of order $n$ Cheng and C.-w

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:21:05.424823Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 8ddccf42-f73d-44f8-9905-08850d7222a5 · outbound

This paper cites Csikv´ ari, On a conjecture of V.

Nordhaus-Gaddum inequality for the spectral radius of a graph of order $n$ Csikv´ ari, On a conjecture of V

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:21:05.413046Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation a9d53586-4bca-4835-8fea-18490b1f8e98 · outbound

This paper cites an unresolved cited work.

Nordhaus-Gaddum inequality for the spectral radius of a graph of order $n$ Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-07T04:21:05.401666Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 9f800204-7d9d-4448-b831-e0b4019a38fa · outbound

This paper cites an unresolved cited work.

Nordhaus-Gaddum inequality for the spectral radius of a graph of order $n$ Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-07T04:21:05.389614Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 7ef40e02-df0a-4c42-bdf1-a98d2f7fbe71 · outbound

This paper cites an unresolved cited work.

Nordhaus-Gaddum inequality for the spectral radius of a graph of order $n$ Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-07T04:21:05.378250Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 2b1f99e1-65f5-4670-a6f4-317422f590c2 · outbound

This paper cites an unresolved cited work.

Nordhaus-Gaddum inequality for the spectral radius of a graph of order $n$ Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-07T04:21:05.365389Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 8ecb4a15-0bd2-423a-8a1d-180c8088205d · outbound

This paper cites Liu and C.-W.

Nordhaus-Gaddum inequality for the spectral radius of a graph of order $n$ Liu and C.-W

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:21:05.353201Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 74afae9d-1866-48f2-9046-86b2a606d0ee · outbound

This paper cites Liu, Graph limits and spectral extremal problems for graphs,SIAM J.

Nordhaus-Gaddum inequality for the spectral radius of a graph of order $n$ Liu, Graph limits and spectral extremal problems for graphs,SIAM J

Reference 11

Resolution: verified exact; doi, observed 2026-08-07T04:21:05.304756Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation b5b9c3b3-d3ba-4bae-ab1f-fe0c5461e62b · outbound

This paper cites Nikiforov, Eigenvalue problems of Nordhaus-Gaddum type,Discrete Math., 307 (2007), 774–780.

Nordhaus-Gaddum inequality for the spectral radius of a graph of order $n$ Nikiforov, Eigenvalue problems of Nordhaus-Gaddum type,Discrete Math., 307 (2007), 774–780

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:21:05.341608Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 96ea49fa-62b1-4a87-9226-0235fa7264bc · outbound

This paper cites Stevanovi´ c, Research problems from the Aveiro workshop on graph spectra,Linear Algebra Appl., 423 (2007), 172–181.

Nordhaus-Gaddum inequality for the spectral radius of a graph of order $n$ Stevanovi´ c, Research problems from the Aveiro workshop on graph spectra,Linear Algebra Appl., 423 (2007), 172–181

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:21:05.329611Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 7a49a5b6-6842-4872-a31d-15f3d1596873 · outbound

This paper cites Terpai, Proof of a conjecture of V.

Nordhaus-Gaddum inequality for the spectral radius of a graph of order $n$ Terpai, Proof of a conjecture of V

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:21:05.317244Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Pith citing papers

Observation a8127d93-4dd1-477b-b2a8-a76873acfe20 · inbound

Generalized Nordhaus--Gaddum Inequalities for Eigenvalues cites this paper.

Generalized Nordhaus--Gaddum Inequalities for Eigenvalues Nordhaus-Gaddum inequality for the spectral radius of a graph of order $n$

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-01T22:08:14.551072Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.