Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-06-30T13:02:26.916182Z
Paper Citation Record · LEDGER
A Proof of a Conjecture on Positive and Negative Square Energies of Unicyclic Graphs
As of 16 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 1 inbound Pith citation observation for arXiv:2605.24668.
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 2026-08-01T16:26:16.863853Z
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
19 of 19 outbound references displayed
- verified exact1
- verified fuzzy12
- unresolved5
- parse uncertain0
- malformed identifier0
- metadata mismatch1
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation c3c1eaca-3f3d-4d23-97d5-557a6c19fd3e · outbound
This paper cites Abiad, L.
A Proof of a Conjecture on Positive and Negative Square Energies of Unicyclic Graphs Abiad, L
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T03:45:56.168129Z
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 edd96066-6621-4a62-9d92-ad23c449fa45 · outbound
This paper cites Akbari, H.
A Proof of a Conjecture on Positive and Negative Square Energies of Unicyclic Graphs Akbari, H
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T03:45:56.172960Z
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 10a73148-353b-425b-96b9-c11dfb098b50 · outbound
This paper cites Refinement of a conjecture on positive square energy of graphs.
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 2026-08-16T06:30:59.297886+00:00.
Observation 9bf03924-51f4-45ee-a2f4-d768c5e2ecd9 · outbound
This paper cites Ando and M.
A Proof of a Conjecture on Positive and Negative Square Energies of Unicyclic Graphs Ando and M
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T03:45:56.163063Z
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 a1de75e5-58bf-4516-8067-5b9b9d58d3f0 · outbound
This paper cites an unresolved cited work.
A Proof of a Conjecture on Positive and Negative Square Energies of Unicyclic Graphs Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-07-09T03:45:56.174416Z
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 813893df-808c-4f81-819c-c6a5088bbfde · outbound
This paper cites Elphick, M.
A Proof of a Conjecture on Positive and Negative Square Energies of Unicyclic Graphs Elphick, M
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T03:45:56.169744Z
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 af8a87f2-1b3b-4d58-908f-a9684a73b0ad · outbound
This paper cites Elphick and W.
A Proof of a Conjecture on Positive and Negative Square Energies of Unicyclic Graphs Elphick and W
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T03:45:56.164648Z
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 f71e7b5e-a34b-461f-b669-ca45f3a5d7ea · outbound
This paper cites an unresolved cited work.
A Proof of a Conjecture on Positive and Negative Square Energies of Unicyclic Graphs Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-07-09T03:45:56.166277Z
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 f97e805e-2257-4f65-b8c8-973e9b3d9f9f · outbound
This paper cites Hong, A bound on the spectral radius of graphs,Linear Algebra Appl.108(1988), 135–139.
A Proof of a Conjecture on Positive and Negative Square Energies of Unicyclic Graphs Hong, A bound on the spectral radius of graphs,Linear Algebra Appl.108(1988), 135–139
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T03:45:56.161285Z
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 f4698a22-cca6-4f82-b9cd-8323536e18fa · outbound
This paper cites Hoffman, On eigenvalues and colourings of graphs in: Graph Theory and its Applica- tions, Academic Press, 1970.
A Proof of a Conjecture on Positive and Negative Square Energies of Unicyclic Graphs Hoffman, On eigenvalues and colourings of graphs in: Graph Theory and its Applica- tions, Academic Press, 1970
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T03:45:56.176128Z
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 ac6252aa-9c41-4445-b030-89f142d3bd44 · outbound
This paper cites Nikiforov, Beyond graph energy: norms of graphs and matrices,Linear Algebra Appl.
A Proof of a Conjecture on Positive and Negative Square Energies of Unicyclic Graphs Nikiforov, Beyond graph energy: norms of graphs and matrices,Linear Algebra Appl
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T03:45:56.171409Z
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 999011ec-2586-43e8-9d25-772ff258f9a0 · outbound
This paper cites an unresolved cited work.
A Proof of a Conjecture on Positive and Negative Square Energies of Unicyclic Graphs Unresolved cited work
Reference 12
- Resolution
- unresolved
- raw_fallback, observed 2026-07-09T03:45:56.177673Z
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 0a0708c0-4a54-40bc-9076-ebdf59e1fb16 · outbound
This paper cites an unresolved cited work.
A Proof of a Conjecture on Positive and Negative Square Energies of Unicyclic Graphs Unresolved cited work
Reference 13
- Resolution
- unresolved
- raw_fallback, observed 2026-07-09T03:45:56.179109Z
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 f0bd4469-8106-4e39-9c46-14dd8373ee7a · outbound
This paper cites an unresolved cited work.
A Proof of a Conjecture on Positive and Negative Square Energies of Unicyclic Graphs Unresolved cited work
Reference 14
- Resolution
- unresolved
- raw_fallback, observed 2026-07-09T03:45:56.180608Z
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 6e6ab633-3857-4e84-bbba-3c6d44e1875b · outbound
This paper cites Sachs, Beziehungen zwischen den in einem Graphen enthaltenen Kreisen und seinem charakteristischen Polynom,Publ.
A Proof of a Conjecture on Positive and Negative Square Energies of Unicyclic Graphs Sachs, Beziehungen zwischen den in einem Graphen enthaltenen Kreisen und seinem charakteristischen Polynom,Publ
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T03:45:56.183840Z
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 9d7907c3-d1f0-4be0-b9fe-e4a91cc9df22 · outbound
This paper cites Stanley, A bound on the spectral radius of graphs with e edges,Linear Algebra Appl.
A Proof of a Conjecture on Positive and Negative Square Energies of Unicyclic Graphs Stanley, A bound on the spectral radius of graphs with e edges,Linear Algebra Appl
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T03:45:56.187079Z
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 1a6c7d8c-9f95-4ad7-b5b9-afa86bfe2fd6 · outbound
This paper cites Wocjan and C.
A Proof of a Conjecture on Positive and Negative Square Energies of Unicyclic Graphs Wocjan and C
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T03:45:56.182156Z
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 e3ffd8c2-e639-4550-bbc1-d7dbb0e74fc9 · outbound
This paper cites Wu and C.
A Proof of a Conjecture on Positive and Negative Square Energies of Unicyclic Graphs Wu and C
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T03:45:56.185374Z
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 95379ec8-b3a9-4c25-9cf6-c936a4081e92 · outbound
This paper cites Extremal values for the square energies of graphs.
A Proof of a Conjecture on Positive and Negative Square Energies of Unicyclic Graphs Extremal values for the square energies of graphs
Reference 19
- Resolution
- metadata mismatch
- arxiv_id, observed 2026-06-30T13:04:39.921429Z
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 037e819d-e46d-40ea-94ff-f86b20077896 · inbound
The positive and negative square-energy conjecture cites this paper.
The positive and negative square-energy conjecture A Proof of a Conjecture on Positive and Negative Square Energies of Unicyclic Graphs
Reference 20
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T16:26:16.863853Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.