Paper Citation Record · LEDGER

Conic programming to understand sums of squares of eigenvalues of graphs

As of 17 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 5 inbound Pith citation observations for arXiv:2411.08184.

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

pith.paper-citation-record.v1
2411.08184 v1

Coverage vector

measured 29 of 29 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T22:01:39.182038Z

measured 34 of 34 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

measured 5 of 5 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T05:52:19.010013Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-11T21:56:30.266860Z

Reference resolution

29 of 29 outbound references displayed

verified exact5
verified fuzzy23
unresolved1
parse uncertain0
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External citation measurements

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Outbound references

Observation 4e33ea3a-63ea-4f64-9115-fe823e68df4d · outbound

This paper cites Positive and negative square energies of graphs.

Conic programming to understand sums of squares of eigenvalues of graphs Positive and negative square energies of graphs

Reference 1

Resolution: verified exact; raw_fallback, observed 2026-08-12T22:01:39.453090Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 62ffda0c-c6d0-4a2a-9593-538a5b161d93 · outbound

This paper cites Proof of a conjectured lower bo und on the chromatic number of a graph.

Conic programming to understand sums of squares of eigenvalues of graphs Proof of a conjectured lower bo und on the chromatic number of a graph

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T22:01:39.869000Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation c5dda84c-254d-4eb4-8624-f4f028046bb7 · outbound

This paper cites Orthonormal representations, vector chromatic n umber, and extension complexity.

Conic programming to understand sums of squares of eigenvalues of graphs Orthonormal representations, vector chromatic n umber, and extension complexity

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T22:01:39.855830Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation cfbb14c1-d50a-42ac-8e8f-3f935ec5d2e0 · outbound

This paper cites Matrix Analysis, volume 169.

Conic programming to understand sums of squares of eigenvalues of graphs Matrix Analysis, volume 169

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T22:01:39.842831Z

Source-reported events for the cited work

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Observation afcb2943-8ec7-4bee-926f-566e319f2bbd · outbound

This paper cites Academic Press, New York, 1978.

Conic programming to understand sums of squares of eigenvalues of graphs Academic Press, New York, 1978

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T22:01:39.829659Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation b8851863-ec3c-4764-a86b-cf7ab85baa5b · outbound

This paper cites Cliques and the spectral rad ius.

Conic programming to understand sums of squares of eigenvalues of graphs Cliques and the spectral rad ius

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T22:01:39.816636Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 89297b92-6a86-4840-8e8b-b2d3073ade0e · outbound

This paper cites de Carli Silva and Levent Tun¸ cel.

Conic programming to understand sums of squares of eigenvalues of graphs de Carli Silva and Levent Tun¸ cel

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T22:01:39.803546Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 1f0317a8-1763-45cd-8b90-aa0507fe1a0e · outbound

This paper cites Approximation of the sta - bility number of a graph via copositive programming.

Conic programming to understand sums of squares of eigenvalues of graphs Approximation of the sta - bility number of a graph via copositive programming

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T22:01:39.790322Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation d8364ea3-9e44-40d9-8c0c-8068c9d35850 · outbound

This paper cites Symmetry and asymmetry between positive and negative square energies of graphs.

Conic programming to understand sums of squares of eigenvalues of graphs Symmetry and asymmetry between positive and negative square energies of graphs

Reference 9

Resolution: verified exact; local_arxiv, observed 2026-08-12T22:01:39.279139Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 04478cb7-cf31-4500-9968-078e6f8055de · outbound

This paper cites Erd˝ os, A.

Conic programming to understand sums of squares of eigenvalues of graphs Erd˝ os, A

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T22:01:39.776739Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 8ef34a9d-8366-4571-82ab-0f55d19baec4 · outbound

This paper cites Continuous characterizations of the maximum clique proble m.

Conic programming to understand sums of squares of eigenvalues of graphs Continuous characterizations of the maximum clique proble m

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T22:01:39.763621Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 8834c1d4-a2de-4491-88da-ba85d577d10e · outbound

This paper cites Gr¨ otschel, L.

Conic programming to understand sums of squares of eigenvalues of graphs Gr¨ otschel, L

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T22:01:39.750350Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 52d0ff22-eb5d-4e15-90b7-f26e1854f4fb · outbound

This paper cites New eigenvalue bound for the fract ional chromatic number.

Conic programming to understand sums of squares of eigenvalues of graphs New eigenvalue bound for the fract ional chromatic number

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T22:01:39.736333Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 1f290161-d885-45e5-b898-ebc3a9a820e1 · outbound

This paper cites Clique is hard to approximate within n 1- ε.

Conic programming to understand sums of squares of eigenvalues of graphs Clique is hard to approximate within n 1- ε

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T22:01:39.638740Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 487f9ff5-2e83-4ba9-a435-a8f63d513cee · outbound

This paper cites Signed spect ral Tur´ an type theorems.

Conic programming to understand sums of squares of eigenvalues of graphs Signed spect ral Tur´ an type theorems

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T22:01:39.624775Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 13e453a2-9489-4618-a602-fe9d42025eb3 · outbound

This paper cites Approximate graph coloring by semideﬁnite programming.

Conic programming to understand sums of squares of eigenvalues of graphs Approximate graph coloring by semideﬁnite programming

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T22:01:39.609699Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 2831a5de-2d2b-43d8-802c-90dd70e5d236 · outbound

This paper cites The sandwich theorem.

Conic programming to understand sums of squares of eigenvalues of graphs The sandwich theorem

Reference 17

Resolution: verified exact; local_arxiv, observed 2026-08-12T22:01:39.259912Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation afeb0830-bf24-4e4f-b303-800aef63ccf3 · outbound

This paper cites Bollob\'as-Nikiforov Conjecture for graphs with not so many triangles.

Conic programming to understand sums of squares of eigenvalues of graphs Bollob\'as-Nikiforov Conjecture for graphs with not so many triangles

Reference 18

Resolution: verified exact; local_arxiv, observed 2026-08-12T22:01:39.241303Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 84bd2796-807b-46b9-8c2a-b9df3a5d98fd · outbound

This paper cites Eigenvalues and triangle s in graphs.

Conic programming to understand sums of squares of eigenvalues of graphs Eigenvalues and triangle s in graphs

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T22:01:39.595857Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 18282d5d-4c42-4675-8e6c-6546cf975416 · outbound

This paper cites Unsolved problems in spectral graph theory.

Conic programming to understand sums of squares of eigenvalues of graphs Unsolved problems in spectral graph theory

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T22:01:39.581078Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 6172f750-3ebe-4e92-bead-ef2013995ea8 · outbound

This paper cites New upper bounds on the rate of a code via the Delsarte-MacWilliams inequalities.

Conic programming to understand sums of squares of eigenvalues of graphs New upper bounds on the rate of a code via the Delsarte-MacWilliams inequalities

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T22:01:39.566668Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 3549b104-e5e1-4602-9f79-4985e8d8403e · outbound

This paper cites an unresolved cited work.

Conic programming to understand sums of squares of eigenvalues of graphs Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-12T22:01:39.552837Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 753bbd11-f40f-4896-87f7-4c181eee3709 · outbound

This paper cites Some inequalities for the largest eigenvalue of a graph.

Conic programming to understand sums of squares of eigenvalues of graphs Some inequalities for the largest eigenvalue of a graph

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T22:01:39.539397Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation cd7d4ba4-8a97-4e81-8f01-22ff48c0fc3e · outbound

This paper cites Eigenvalues of graphs.

Conic programming to understand sums of squares of eigenvalues of graphs Eigenvalues of graphs

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T22:01:39.525436Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 25338b64-c607-4ea6-926e-b68b1011e725 · outbound

This paper cites A comparison of the Delsarte and Lov´ as z bounds.

Conic programming to understand sums of squares of eigenvalues of graphs A comparison of the Delsarte and Lov´ as z bounds

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T22:01:39.512134Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 04e7cd03-7b94-48c8-88a6-719c3097014d · outbound

This paper cites Copositive and com- pletely positive matrices.

Conic programming to understand sums of squares of eigenvalues of graphs Copositive and com- pletely positive matrices

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T22:01:39.496831Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 256ea0d4-d2ba-4a29-adee-fdce344b5f6a · outbound

This paper cites More Tales of Hoffman: bounds for the vector chromatic number of a graph.

Conic programming to understand sums of squares of eigenvalues of graphs More Tales of Hoffman: bounds for the vector chromatic number of a graph

Reference 27

Resolution: verified exact; local_arxiv, observed 2026-08-12T22:01:39.221339Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 0697501f-cc18-4cb4-96d0-a0263e44d3c3 · outbound

This paper cites On the ﬁrst two eigenvalues of regular grap hs.

Conic programming to understand sums of squares of eigenvalues of graphs On the ﬁrst two eigenvalues of regular grap hs

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T22:01:39.482408Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation a82d38b4-205e-4f1f-a0aa-72bdfc52660d · outbound

This paper cites Graph theory and additive combinatorics—exploring struct ure and randomness.

Conic programming to understand sums of squares of eigenvalues of graphs Graph theory and additive combinatorics—exploring struct ure and randomness

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T22:01:39.468794Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Pith citing papers

Observation b55767d4-afc0-4a37-9511-cf7d86a1166b · inbound

Refinement of a conjecture on positive square energy of graphs cites this paper.

Refinement of a conjecture on positive square energy of graphs Conic programming to understand sums of squares of eigenvalues of graphs

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-07T05:52:19.010013Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 68b0a8e0-3244-430c-a9bd-7d7f34d205d4 · inbound

A graph energy conjecture through the lenses of semidefinite programming cites this paper.

A graph energy conjecture through the lenses of semidefinite programming Conic programming to understand sums of squares of eigenvalues of graphs

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-05T05:13:48.516481Z

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Unavailable: canonical work link unavailable.

Observation ad3efb0d-9b48-419c-8b8d-a69fbdd95b67 · inbound

A SWAP-free Framework for QAOA cites this paper.

A SWAP-free Framework for QAOA Conic programming to understand sums of squares of eigenvalues of graphs

Reference 3

Resolution: verified exact; arxiv_id, observed 2026-05-11T21:56:30.348103Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 8a97db61-b1d7-4293-bada-02e8c3c41254 · inbound

The positive and negative square-energy conjecture cites this paper.

The positive and negative square-energy conjecture Conic programming to understand sums of squares of eigenvalues of graphs

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-01T16:26:15.884817Z

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Unavailable: canonical work link unavailable.

Observation b4a9495c-c586-44a9-9af4-45e69076336e · inbound

A positive square-energy strengthening of Tur\'an's theorem cites this paper.

A positive square-energy strengthening of Tur\'an's theorem Conic programming to understand sums of squares of eigenvalues of graphs

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-01T16:25:45.588243Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.