Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T05:52:19.054514Z
Paper Citation Record · LEDGER
Refinement of a conjecture on positive square energy of graphs
As of 10 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 7 inbound Pith citation observations for arXiv:2506.07264.
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 2026-08-10T06:31:04.303077+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-01T16:26:15.340095Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-07-02T23:37:27.094582Z
Reference resolution
23 of 23 outbound references displayed
- verified exact12
- verified fuzzy4
- unresolved6
- parse uncertain0
- malformed identifier1
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 8d71dc95-d269-48b3-b767-532d537866c8 · outbound
This paper cites Positive and negative square energies of graphs.Electron.
Refinement of a conjecture on positive square energy of graphs Positive and negative square energies of graphs.Electron
Reference 1
- Resolution
- verified exact
- raw_fallback, observed 2026-08-07T05:52:19.285760Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 83a9c8e4-9b39-4b4d-a89d-e48a112e68f3 · outbound
This paper cites A Linear Lower Bound for the Square Energy of Graphs.
Refinement of a conjecture on positive square energy of graphs A Linear Lower Bound for the Square Energy of Graphs
Reference 2
- Resolution
- verified exact
- local_arxiv, observed 2026-08-07T05:52:19.193034Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation ac4e6f7d-7865-4853-9880-71f14a0d48e6 · outbound
This paper cites Vertex Partitioning and $p$-Energy of Graphs.
Refinement of a conjecture on positive square energy of graphs Vertex Partitioning and $p$-Energy of Graphs
Reference 3
- Resolution
- verified exact
- local_arxiv, observed 2026-08-07T05:52:19.183263Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 0cb56c0d-5fad-4895-8d90-1d24da19c884 · outbound
This paper cites Proof of a conjectured lower bound on the chromatic number of a graph.
Refinement of a conjecture on positive square energy of graphs Proof of a conjectured lower bound on the chromatic number of a graph
Reference 4
- Resolution
- verified exact
- doi, observed 2026-08-07T05:52:19.144105Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 3a87762a-b288-4e9d-aecf-e1c2b9218c38 · outbound
This paper cites Barik, D.
Refinement of a conjecture on positive square energy of graphs Barik, D
Reference 5
- Resolution
- verified exact
- doi, observed 2026-08-07T05:52:19.136749Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation b55767d4-afc0-4a37-9511-cf7d86a1166b · outbound
This paper cites Conic programming to understand sums of squares of eigenvalues of graphs.
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 cd8d94d8-eb3e-43b3-98d6-d1f487c45f1c · outbound
This paper cites Cvetković and Ivan M.
Refinement of a conjecture on positive square energy of graphs Cvetković and Ivan M
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:52:19.320376Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 0fe43a55-b03c-46ad-8154-60b1de6d0350 · outbound
This paper cites Graphs with diameter 2 and large total domination number.Graphs Combin., 37(1):271–279, 2021.
Refinement of a conjecture on positive square energy of graphs Graphs with diameter 2 and large total domination number.Graphs Combin., 37(1):271–279, 2021
Reference 8
- Resolution
- verified exact
- doi, observed 2026-08-07T05:52:19.129158Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 30a3603d-93a4-46a1-b9a0-334c44929512 · outbound
This paper cites On the sum of two largest eigenvalues of a symmetric matrix.
Refinement of a conjecture on positive square energy of graphs On the sum of two largest eigenvalues of a symmetric matrix
Reference 9
- Resolution
- verified exact
- doi, observed 2026-08-07T05:52:19.121615Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 41dd21ae-95d7-4dad-b09d-f105e3a8e504 · outbound
This paper cites Conjectured bounds for the sum of squares of positive eigenvalues of a graph.Discrete Math., 339(9):2215–2223, 2016.
Refinement of a conjecture on positive square energy of graphs Conjectured bounds for the sum of squares of positive eigenvalues of a graph.Discrete Math., 339(9):2215–2223, 2016
Reference 10
- Resolution
- malformed identifier
- no resolver link, observed 2026-08-07T05:52:19.020664Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7f81cdaa-40c2-4341-b320-3b162d10afa5 · outbound
This paper cites Symmetry and asymmetry between positive and negative square energies of graphs.Electron.
Refinement of a conjecture on positive square energy of graphs Symmetry and asymmetry between positive and negative square energies of graphs.Electron
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:52:19.313074Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation d262f0a8-75c8-4ad7-aab0-67041b1d6bcf · outbound
This paper cites A Spectral Lower Bound on Chromatic Numbers using $p$-Energy.
Refinement of a conjecture on positive square energy of graphs A Spectral Lower Bound on Chromatic Numbers using $p$-Energy
Reference 12
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T05:52:19.025682Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 60a0067e-1092-4296-aca2-bfc5401af859 · outbound
This paper cites New eigenvalue bound for the fractional chromatic number.J.
Refinement of a conjecture on positive square energy of graphs New eigenvalue bound for the fractional chromatic number.J
Reference 13
- Resolution
- verified exact
- doi, observed 2026-08-07T05:52:19.108956Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 5b509485-09a7-4cfb-aae7-645db299bf54 · outbound
This paper cites Survey of graph energies.Mathematics Interdisciplinary Research, 2(2):85–129, 2017.
Refinement of a conjecture on positive square energy of graphs Survey of graph energies.Mathematics Interdisciplinary Research, 2(2):85–129, 2017
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:52:19.304838Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 7781be1d-1d80-4f55-949c-204d0cdf0555 · outbound
This paper cites Horn and Charles R.
Refinement of a conjecture on positive square energy of graphs Horn and Charles R
Reference 15
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T05:52:19.033485Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation be8c2b09-3477-4418-9e30-b6352e7d17b0 · outbound
This paper cites Eigenvalues and triangles in graphs.Combin.
Refinement of a conjecture on positive square energy of graphs Eigenvalues and triangles in graphs.Combin
Reference 16
- Resolution
- verified exact
- doi, observed 2026-08-07T05:52:19.100871Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation c8601555-5ab8-4572-87b7-38ed9389c907 · outbound
This paper cites Nikiforov.
Refinement of a conjecture on positive square energy of graphs Nikiforov
Reference 17
- Resolution
- verified exact
- doi, observed 2026-08-07T05:52:19.092324Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 3b8e98cb-3d8c-4c2e-bbc6-a73f66b7b9ee · outbound
This paper cites Nikiforov.
Refinement of a conjecture on positive square energy of graphs Nikiforov
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:52:19.293581Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 2bb7b546-9f1f-45c5-934c-2644e4671715 · outbound
This paper cites On a conjecture of Nikiforov concerning the minimal $p$-energy of connected graphs.
Refinement of a conjecture on positive square energy of graphs On a conjecture of Nikiforov concerning the minimal $p$-energy of connected graphs
Reference 19
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T05:52:19.046045Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d1359688-6229-47e3-8d22-d5b4611332f2 · outbound
This paper cites On the Positive and Negative $p$-Energies of Graphs under Edge Addition.
Refinement of a conjecture on positive square energy of graphs On the Positive and Negative $p$-Energies of Graphs under Edge Addition
Reference 20
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T05:52:19.049121Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 10eebb0e-77be-4980-8317-c1cf1462af9a · outbound
This paper cites Matrix theory.
Refinement of a conjecture on positive square energy of graphs Matrix theory
Reference 21
- Resolution
- verified exact
- doi, observed 2026-08-07T05:52:19.076743Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 78345d2b-5273-42ce-b92e-c83c6e998d2f · outbound
This paper cites Extremal values for the square energies of graphs.
Refinement of a conjecture on positive square energy of graphs Extremal values for the square energies of graphs
Reference 22
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T05:52:19.054514Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 09c75d59-a9e6-415f-80a5-39bd99429d8a · outbound
This paper cites an unresolved cited work.
Refinement of a conjecture on positive square energy of graphs Unresolved cited work
Reference 2016
- Resolution
- verified exact
- doi, observed 2026-08-07T05:52:19.084816Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Pith citing papers
Observation 893e3709-d579-4386-9e6f-378dc2f78466 · inbound
Path-Minimality of $p$-Energy for Connected Graphs cites this paper.
Path-Minimality of $p$-Energy for Connected Graphs Refinement of a conjecture on positive square energy of graphs
Reference 4
- Resolution
- verified exact
- arxiv_id, observed 2026-05-22T03:54:34.080311Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation acc8a081-d49c-48de-a542-aa0ebbcf71cd · inbound
Path-Minimality of $p$-Energy for Connected Graphs cites this paper.
Path-Minimality of $p$-Energy for Connected Graphs Refinement of a conjecture on positive square energy of graphs
Reference 4
- Resolution
- verified exact
- arxiv_id, observed 2026-06-30T16:35:12.903206Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 6668bd17-8ebd-4f6c-9c6b-d993735438fc · inbound
Path-Minimality of $p$-Energy for Connected Graphs cites this paper.
Path-Minimality of $p$-Energy for Connected Graphs Refinement of a conjecture on positive square energy of graphs
Reference 4
- Resolution
- verified exact
- arxiv_id, observed 2026-07-02T23:37:27.096480Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 10a73148-353b-425b-96b9-c11dfb098b50 · inbound
A Proof of a Conjecture on Positive and Negative Square Energies of Unicyclic Graphs cites this paper.
A Proof of a Conjecture on Positive and Negative Square Energies of Unicyclic Graphs Refinement of a conjecture on positive square energy of graphs
Reference 3
- Resolution
- verified exact
- arxiv_id, observed 2026-06-30T13:04:39.917390Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 94bbfa5a-1bc5-476a-aa7a-26149fe79ce8 · inbound
Path-Minimality for Positive $p$-Energies, Laplacian-Type Spectra, and Line Graphs cites this paper.
Path-Minimality for Positive $p$-Energies, Laplacian-Type Spectra, and Line Graphs Refinement of a conjecture on positive square energy of graphs
Reference 4
- Resolution
- verified exact
- arxiv_id, observed 2026-07-01T12:55:44.616914Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation eb69936c-3792-43d7-a8d9-b360259df9f2 · inbound
The positive and negative square-energy conjecture cites this paper.
The positive and negative square-energy conjecture Refinement of a conjecture on positive square energy of graphs
Reference 4
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T16:26:15.340095Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2ee0ab2a-82e5-44c1-8f51-29c7910f263d · inbound
A positive square-energy strengthening of Tur\'an's theorem cites this paper.
A positive square-energy strengthening of Tur\'an's theorem Refinement of a conjecture on positive square energy of graphs
Reference 5
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T16:25:45.569270Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.