Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-12T22:01:39.182038Z
Paper Citation Record · LEDGER
Conic programming to understand sums of squares of eigenvalues of graphs
As of 16 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.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-07T05:52:19.010013Z
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
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
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 2026-08-16T06:30:59.297886+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
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+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
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- raw_fallback, observed 2026-08-12T22:01:39.855830Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+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
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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
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- 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 2026-08-16T06:30:59.297886+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
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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
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- raw_fallback, observed 2026-08-12T22:01:39.776739Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+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
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- raw_fallback, observed 2026-08-12T22:01:39.763621Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+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
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- 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 2026-08-16T06:30:59.297886+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
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- 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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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
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- 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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+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
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+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
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- raw_fallback, observed 2026-08-12T22:01:39.566668Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+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
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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
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- raw_fallback, observed 2026-08-12T22:01:39.512134Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+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
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- 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 2026-08-16T06:30:59.297886+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
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- 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 2026-08-16T06:30:59.297886+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
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- 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 2026-08-16T06:30:59.297886+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
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- raw_fallback, observed 2026-08-12T22:01:39.468794Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+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
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- 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
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- no resolver link, observed 2026-08-05T05:13:48.516481Z
Source-reported events for the cited work
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
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- arxiv_id, observed 2026-05-11T21:56:30.348103Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+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
Source-reported events for the cited work
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.