Paper Citation Record · LEDGER

Generalized Nordhaus--Gaddum Inequalities for Eigenvalues

As of 18 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 1 inbound Pith citation observation for arXiv:2607.15941.

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

pith.paper-citation-record.v1
2607.15941 v1

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-01T22:08:16.406995Z

measured 23 of 23 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-04T07:42:47.574529Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-04T12:16:13.904932Z

Reference resolution

22 of 22 outbound references displayed

verified exact0
verified fuzzy0
unresolved22
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 3795f3ae-60d8-47ec-8bb7-a8c828ef8701 · outbound

This paper cites Aouchiche and P.

Generalized Nordhaus--Gaddum Inequalities for Eigenvalues Aouchiche and P

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-01T22:08:14.180627Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ff1d9f74-2d0f-4048-91a0-7b15dbc862ed · outbound

This paper cites an unresolved cited work.

Generalized Nordhaus--Gaddum Inequalities for Eigenvalues Unresolved cited work

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-01T22:08:14.297511Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 56345b08-5c0f-4237-ad67-5fb8b2495bf0 · outbound

This paper cites Maximum spectral gaps of graphs.Linear Algebra and its Applications, 730:297–312, 2026.

Generalized Nordhaus--Gaddum Inequalities for Eigenvalues Maximum spectral gaps of graphs.Linear Algebra and its Applications, 730:297–312, 2026

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-01T22:08:14.445906Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

This paper cites Nordhaus-Gaddum inequality for the spectral radius of a graph of order $n$.

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.

Observation e1be3200-5454-46ce-9135-b6c38d7aea19 · outbound

This paper cites On a conjecture of V.

Generalized Nordhaus--Gaddum Inequalities for Eigenvalues On a conjecture of V

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-01T22:08:14.668234Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1143eac2-4313-421d-a320-2fcb7af71785 · outbound

This paper cites On the sum of two largest eigenvalues of a symmetric matrix.Linear Algebra Appl., 429(11-12):2781–2787, 2008.

Generalized Nordhaus--Gaddum Inequalities for Eigenvalues On the sum of two largest eigenvalues of a symmetric matrix.Linear Algebra Appl., 429(11-12):2781–2787, 2008

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-01T22:08:14.786952Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation eb330474-2c4f-4b10-bbf7-9cc147b513a9 · outbound

This paper cites Gregory, Daniel Hershkowitz, and Stephen J.

Generalized Nordhaus--Gaddum Inequalities for Eigenvalues Gregory, Daniel Hershkowitz, and Stephen J

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-01T22:08:14.961033Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d98ddbcd-2e6e-4de9-a992-c93ae0681d81 · outbound

This paper cites Maximum spectral sum of graphs.

Generalized Nordhaus--Gaddum Inequalities for Eigenvalues Maximum spectral sum of graphs

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-01T22:08:15.120513Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 88aa7862-62d1-436f-9c8f-bc8bfa39197d · outbound

This paper cites On graphs with large third eigenvalue.Linear Algebra Appl., 741:66– 96, 2026.

Generalized Nordhaus--Gaddum Inequalities for Eigenvalues On graphs with large third eigenvalue.Linear Algebra Appl., 741:66– 96, 2026

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-01T22:08:15.234862Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 86f4ed51-b304-48b8-bb79-31af436f6413 · outbound

This paper cites Strengthened upper bound on the third eigenvalue of graphs.

Generalized Nordhaus--Gaddum Inequalities for Eigenvalues Strengthened upper bound on the third eigenvalue of graphs

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-01T22:08:15.348621Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation aa5c14c8-2826-4cba-8be3-b0ab21aa38cd · outbound

This paper cites Improved lower bounds on the extrema of eigenvalues of graphs.Graphs Comb., 39(4):4, 2023.

Generalized Nordhaus--Gaddum Inequalities for Eigenvalues Improved lower bounds on the extrema of eigenvalues of graphs.Graphs Comb., 39(4):4, 2023

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-01T22:08:15.462234Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1600c81c-9280-4302-b2ed-836c85eead82 · outbound

This paper cites Two conjectures in spectral graph theory involving the linear combinations of graph eigenvalues.SIAM Journal on Discrete Mathematics, 37(3):1882–1895, 2023.

Generalized Nordhaus--Gaddum Inequalities for Eigenvalues Two conjectures in spectral graph theory involving the linear combinations of graph eigenvalues.SIAM Journal on Discrete Mathematics, 37(3):1882–1895, 2023

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-01T22:08:15.578932Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2383032a-cde7-4cea-b177-4e212baf170c · outbound

This paper cites Linear combinations of graph eigenvalues.Electronic Journal of Linear Algebra, 15:329–336, 2006.

Generalized Nordhaus--Gaddum Inequalities for Eigenvalues Linear combinations of graph eigenvalues.Electronic Journal of Linear Algebra, 15:329–336, 2006

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-01T22:08:15.719287Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b38bc9c5-887b-4135-bd98-0ef2ba18952b · outbound

This paper cites Eigenvalue problems of Nordhaus-Gaddum type.Discrete Math., 307(6):774– 780, 2007.

Generalized Nordhaus--Gaddum Inequalities for Eigenvalues Eigenvalue problems of Nordhaus-Gaddum type.Discrete Math., 307(6):774– 780, 2007

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-01T22:08:15.819798Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 92b6933e-286a-4f18-ac55-96866d87f003 · outbound

This paper cites Extrema of graph eigenvalues.Linear Algebra and Its Applications, 482:158–190, 2015.

Generalized Nordhaus--Gaddum Inequalities for Eigenvalues Extrema of graph eigenvalues.Linear Algebra and Its Applications, 482:158–190, 2015

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-01T22:08:15.886147Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 529ca1f8-aab7-4b37-9022-231d747ec5fb · outbound

This paper cites More eigenvalue problems of nordhaus-gaddum type.Linear Algebra and its Applications, 451:231–245, 2014.

Generalized Nordhaus--Gaddum Inequalities for Eigenvalues More eigenvalue problems of nordhaus-gaddum type.Linear Algebra and its Applications, 451:231–245, 2014

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-01T22:08:15.947511Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2e6da62c-74a5-41d8-8e96-f57a0f0c5151 · outbound

This paper cites an unresolved cited work.

Generalized Nordhaus--Gaddum Inequalities for Eigenvalues Unresolved cited work

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-01T22:08:16.039182Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 391a7e49-d33b-4b69-a21d-48633416b4f3 · outbound

This paper cites an unresolved cited work.

Generalized Nordhaus--Gaddum Inequalities for Eigenvalues Unresolved cited work

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-01T22:08:16.090417Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 49778bb4-0272-4390-83a0-d3f98311325c · outbound

This paper cites Upper bound on thek-th eigenvalue of a graph.

Generalized Nordhaus--Gaddum Inequalities for Eigenvalues Upper bound on thek-th eigenvalue of a graph

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-01T22:08:16.148727Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9a4258ac-1f98-4710-9b13-cb0e056bc399 · outbound

This paper cites A sharp upper bound on the third adjacency eigenvalue of a graph.

Generalized Nordhaus--Gaddum Inequalities for Eigenvalues A sharp upper bound on the third adjacency eigenvalue of a graph

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-01T22:08:16.208623Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 94340a0a-7957-4ae8-9bcb-fcf2da53d9f6 · outbound

This paper cites Proof of a conjecture of V.

Generalized Nordhaus--Gaddum Inequalities for Eigenvalues Proof of a conjecture of V

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-01T22:08:16.340106Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5d4d5697-16f4-47bd-bc4e-f4d3b93a7b94 · outbound

This paper cites Graph Eigenvalues and Projection Constants.

Generalized Nordhaus--Gaddum Inequalities for Eigenvalues Graph Eigenvalues and Projection Constants

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-01T22:08:16.406995Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation ec7bc5da-04e3-423f-8799-6513269854ab · inbound

Graph Eigenvalues and Projection Constants cites this paper.

Graph Eigenvalues and Projection Constants Generalized Nordhaus--Gaddum Inequalities for Eigenvalues

Reference 12

Resolution: verified exact; local_arxiv, observed 2026-08-04T07:43:19.967902Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.