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Paper Citation Record · LEDGER

Energy and independence number

As of 20 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 2026-08-20T06:33:59.587034+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:a2d3c764645f7f19fc0d6c4435be364385e4a8beee6c753f531243b2cedf3334

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=sha256:484d8855de20e27e1ddf21f069381df48f7dbfe7298d47ac0a6170161bb4703c

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=sha256:6b1419b989b58f0268510e4afbbc336156d5dc35a544863e2a61e1c9f232282c

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:e32455942d70c3bf6729de79084d87def10451ee2ead27647a6dbaf402d79c91

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=sha256:08e54e1d50b6f28c10ea06f917dde908f83f0e91c1d20f41fdb822198face6d3

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:a71e4c82a3ba3b8ac30c8af93034edd3504df457e6f76fae15e382e1ea41789a

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:c254aac752e0576964d8b0a4ba21af4552a6079fdd5e2354982f6b63d5162f5d

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:cee8c34caa027c6ba77d09bf3e2ac2c7b328844903dfebd653d95cf5fdade3ae

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=sha256:803aed67242205021fefe4f25c50ba40ff8d0e314da135d9cfe46bfbb72e18e9

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:c83ea58d2d41566e154c238d794555b667e6cfd0eea28067b5173791f51dfd8d

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:b4f34282ed15c3c8fb1624091405c03052959399b178b8c5d95bad3995885931

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=sha256:0a97c33dc6865c8e0de9030ec6f17a239e38f1823e65563558d31378e321a732

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=sha256:92e57be8420ada5c01b2810cd469e578e2c78be1fb816bf5f97f904a8771ec2d

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:c46051e2ae498ce0d6f595e40eadb7ff3a0848f332cde378011cb16c3e819aeb

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=sha256:39f3239c65f00c7e3716e4c82893933ac1d63c105fb1502e9189039b07788f02

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-08T19:05:43.277823Z digest=sha256:dcaaf2edd02f5e799b6b68275e271a25403fff083e62863bf85bf3a3500f5c3d