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Paper Citation Record · LEDGER

Energy and independence number

As of 16 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 1 inbound Pith citation observation for arXiv:2607.19817.

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

pith.paper-citation-record.v1
2607.19817 v1

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-01T11:42:49.750918Z

measured 16 of 16 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-08T19:05:43.277823Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-08T19:05:43.356715Z

Reference resolution

15 of 15 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved15
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1d35fcdd-6005-4429-bf25-fe2d070ba43e · outbound

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

Energy and independence number A graph energy conjecture through the lenses of semidefinite programming

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-01T11:42:47.552323Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T11:42:47.552323Z digest=sha256:486dd6eb4d1392074bead81b416f5d1a0182b19d4714f506531cd85bef7b3b2c

Observation 84677c3d-1f91-489b-8119-ab6f456aad2c · outbound

This paper cites Akbari, M.

Energy and independence number Akbari, M

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-01T11:42:47.698315Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T11:42:47.698315Z digest=sha256:0affe513cbcb04a410dc45bce8b42131205cb1935ae38c394a715d7a04863a97

Observation 6757fadf-ca48-4fd2-8124-d06aee12a61a · outbound

This paper cites Akbari, S.

Energy and independence number Akbari, S

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-01T11:42:47.923487Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T11:42:47.923487Z digest=sha256:b7a766c63d1a462cbc9b108990d0f931234422e88a2185c94e085032cf7fa4e2

Observation 2adb26e1-5069-4114-bbbc-2f4166d7052c · outbound

This paper cites Aouchiche and P.

Energy and independence number Aouchiche and P

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-01T11:42:48.069229Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T11:42:48.069229Z digest=sha256:01376338ba78cec1f7cc34ef18160d960f57f469226cae73e05896ad7d595232

Observation 39a6d278-7f63-4c1e-9ff4-81a96e60cde9 · outbound

This paper cites Some history of the development of Graffiti.

Energy and independence number Some history of the development of Graffiti

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-01T11:42:48.229750Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T11:42:48.229750Z digest=sha256:ed453fade55dd87ecc0c8b5d22cbbc3f03e8fd4114c5154695697cfaa7ba3993

Observation 9ceec39f-5125-4069-bfa5-c89b7f7294be · outbound

This paper cites Einollahzadeh and M.

Energy and independence number Einollahzadeh and M

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-01T11:42:48.429182Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T11:42:48.429182Z digest=sha256:72ff805745ae89750db63a40e324f61c4ed19ea690206aceb8ac5dc7fb597d2c

Observation e919476d-be07-4938-b7f3-7b53a6f9fb62 · outbound

This paper cites On conjectures of Graffiti.

Energy and independence number On conjectures of Graffiti

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-01T11:42:48.569416Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T11:42:48.569416Z digest=sha256:ea58db7d586b1374993f77c0270697d9cb21a5d9810a32b4daa073b9282c6901

Observation d5b91c06-ccb9-4a20-9ae5-70a0d15e9775 · outbound

This paper cites The energy of a graph: old and new results.

Energy and independence number The energy of a graph: old and new results

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-01T11:42:48.708101Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T11:42:48.708101Z digest=sha256:93f9b6cf0d09947ca2daa8b5b8cfecba0f638f91243865b8172a6c4984713f4f

Observation aa4b4e99-9736-42d9-86ea-b2be639a7027 · outbound

This paper cites Survey of graph energies.Mathematics Interdisciplinary Research, 2(2):85–129, 2017.

Energy and independence number Survey of graph energies.Mathematics Interdisciplinary Research, 2(2):85–129, 2017

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-01T11:42:48.849143Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T11:42:48.849143Z digest=sha256:5abc6d0d9e59998ba21ecb898245f9de2ad3774c49a103d6eb365ad1795c50f4

Observation aef6e310-83ed-412c-a168-41fc58b78ef2 · outbound

This paper cites Horn and Charles R.

Energy and independence number Horn and Charles R

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-01T11:42:49.026809Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T11:42:49.026809Z digest=sha256:12bce16bccd55cde34059b78970ece1b8e8a503c6e354c98e1279be8262a5b83

Observation a334b530-3530-42ba-b6e5-56e56e6d1ce9 · outbound

This paper cites Unsolved problems in spectral graph theory.Oper.

Energy and independence number Unsolved problems in spectral graph theory.Oper

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-01T11:42:49.196356Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T11:42:49.196356Z digest=sha256:953a6f38ca52e21e1d2531173d0c87a8c3f99136964a2e5c131680271daad1b8

Observation 4cdc8641-4b88-4307-b9ab-48ba584f44f7 · outbound

This paper cites Nikiforov.

Energy and independence number Nikiforov

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-01T11:42:49.311400Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T11:42:49.311400Z digest=sha256:bab58f66553ba4904520f669dcbe146212b31569a48078b3af7322564bac421a

Observation 41659d08-136d-4918-9f6a-56848e2753fb · outbound

This paper cites Improved bound of graph energy in terms of vertex cover number, 2025.

Energy and independence number Improved bound of graph energy in terms of vertex cover number, 2025

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-01T11:42:49.519811Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T11:42:49.519811Z digest=sha256:6541431a7f003fad118146baf872215ee407bcb4e2dd0cd9c6c189de89343711

Observation 067a8a71-f2ed-4680-b44e-8a5cfdcf1122 · outbound

This paper cites Bounds of graph energy in terms of vertex cover number.Linear Algebra Appl., 517:207–216, 2017.

Energy and independence number Bounds of graph energy in terms of vertex cover number.Linear Algebra Appl., 517:207–216, 2017

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-01T11:42:49.638674Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T11:42:49.638674Z digest=sha256:4945b4e0c4326100480ab5b28abe58d56495fffc34711cc9e8a2260132d2209c

Observation 7f01bcc1-7789-4c9e-b94e-bbb80794559c · outbound

This paper cites Springer, New York, 2005.

Energy and independence number Springer, New York, 2005

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-01T11:42:49.750918Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T11:42:49.750918Z digest=sha256:d9ce25cfd118598620fe2afd75c81215dc5af0c89a20d6f47370a5daca482dcf

Pith citing papers

Observation cccdd432-bfbe-4760-b8a0-0ece5f26e49c · inbound

Extremal Graphs for the Energy-Independence Number Inequality cites this paper.

Extremal Graphs for the Energy-Independence Number Inequality Energy and independence number

Reference 8

Resolution
verified exact
local_arxiv, observed 2026-08-08T19:05:43.361833Z

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.

source=pdf_text observed=2026-08-08T19:05:43.277823Z digest=sha256:434b6f2413ac4ccc688dad4e939a47d0efe0ded80a385bdb007fd2360bb1f9d8