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Paper Citation Record · LEDGER

A Resource-Efficient Quantum Framework for Graph Coloring and Chromatic Number Estimation

As of 16 August 2026, this Paper Citation Record lists 42 of 42 outbound references and 0 inbound Pith citation observations for arXiv:2608.08694.

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

pith.paper-citation-record.v1
2608.08694 v1

Coverage vector

measured 42 of 42 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T04:35:52.063950Z

measured 42 of 42 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 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

42 of 42 outbound references displayed

  • verified exact4
  • verified fuzzy16
  • unresolved18
  • parse uncertain0
  • malformed identifier2
  • metadata mismatch2

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation dcbc1acf-be87-4704-8634-d8b5076892e4 · outbound

This paper cites Recent research directions in automated timetabling,.

A Resource-Efficient Quantum Framework for Graph Coloring and Chromatic Number Estimation Recent research directions in automated timetabling,

Reference 1

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Observation 563d1032-6ba3-4e50-a0c5-8366017f225c · outbound

This paper cites Recent developments in practical course timetabling,.

A Resource-Efficient Quantum Framework for Graph Coloring and Chromatic Number Estimation Recent developments in practical course timetabling,

Reference 2

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 4a23bd84-6128-430a-83c2-e1c8fcb952dd · outbound

This paper cites an unresolved cited work.

A Resource-Efficient Quantum Framework for Graph Coloring and Chromatic Number Estimation Unresolved cited work

Reference 3

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Observation 2d367745-045c-41e6-ba9c-b6e421d8fede · outbound

This paper cites Schedule path optimization for adiabatic quantum computing and optimization,.

A Resource-Efficient Quantum Framework for Graph Coloring and Chromatic Number Estimation Schedule path optimization for adiabatic quantum computing and optimization,

Reference 4

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 8a5c457d-5962-48e2-a19e-d4e3742268b8 · outbound

This paper cites Frequency assignment: Theory and applications,.

A Resource-Efficient Quantum Framework for Graph Coloring and Chromatic Number Estimation Frequency assignment: Theory and applications,

Reference 5

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Observation 27ec4079-f6e3-432d-be7f-89f3b02c6ea0 · outbound

This paper cites Models and solution techniques for frequency assignment problems,.

A Resource-Efficient Quantum Framework for Graph Coloring and Chromatic Number Estimation Models and solution techniques for frequency assignment problems,

Reference 6

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation d46571e8-9264-4ce9-bc31-80e5f9d8287a · outbound

This paper cites Some simplified np- complete graph problems,.

A Resource-Efficient Quantum Framework for Graph Coloring and Chromatic Number Estimation Some simplified np- complete graph problems,

Reference 7

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 909841b0-6f7b-44e3-b67b-7f1cbc8c3105 · outbound

This paper cites An upper bound for the chromatic number of a graph and its application to timetabling problems,.

A Resource-Efficient Quantum Framework for Graph Coloring and Chromatic Number Estimation An upper bound for the chromatic number of a graph and its application to timetabling problems,

Reference 8

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source=pdf_text observed=2026-08-14T04:35:50.944898Z digest=sha256:a851d8573812b5b7041c2d6ea9ced3d2c9a764a845b377317353b145f403595e

Observation e6dfefb0-df64-412f-9d8d-5c0f6b760151 · outbound

This paper cites A generalized implicit enumeration algorithm for graph coloring,.

A Resource-Efficient Quantum Framework for Graph Coloring and Chromatic Number Estimation A generalized implicit enumeration algorithm for graph coloring,

Reference 9

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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.

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Observation 075280cf-e268-4fbf-ba16-2d5ab5f5482f · outbound

This paper cites Lewis,Guide to graph colouring.

A Resource-Efficient Quantum Framework for Graph Coloring and Chromatic Number Estimation Lewis,Guide to graph colouring

Reference 10

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Observation 0155f14f-0327-4eb9-91ac-014563213fb3 · outbound

This paper cites A graph coloring algorithm for large scheduling problems,.

A Resource-Efficient Quantum Framework for Graph Coloring and Chromatic Number Estimation A graph coloring algorithm for large scheduling problems,

Reference 11

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Observation 5fcf1237-ab91-4c2f-b7e9-2e14c8755de3 · outbound

This paper cites New methods to color the vertices of a graph,.

A Resource-Efficient Quantum Framework for Graph Coloring and Chromatic Number Estimation New methods to color the vertices of a graph,

Reference 12

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Unavailable: canonical work link unavailable.

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Observation 57f13d81-0597-496e-86bf-e92c49ad80b4 · outbound

This paper cites an unresolved cited work.

A Resource-Efficient Quantum Framework for Graph Coloring and Chromatic Number Estimation Unresolved cited work

Reference 13

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Observation 77737ed3-a96a-42ec-b073-7b8701c2be7c · outbound

This paper cites On the complexity of time table and multi-commodity flow problems,.

A Resource-Efficient Quantum Framework for Graph Coloring and Chromatic Number Estimation On the complexity of time table and multi-commodity flow problems,

Reference 14

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Observation b004c1c7-98c6-4001-812a-8e3a738fe54e · outbound

This paper cites Challenges and opportunities in quantum optimization,.

A Resource-Efficient Quantum Framework for Graph Coloring and Chromatic Number Estimation Challenges and opportunities in quantum optimization,

Reference 15

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Observation f027917c-d13f-42de-96bd-3ab2a7c8f084 · outbound

This paper cites The unconstrained binary quadratic programming problem: a survey,.

A Resource-Efficient Quantum Framework for Graph Coloring and Chromatic Number Estimation The unconstrained binary quadratic programming problem: a survey,

Reference 16

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Observation c728d116-4197-42f4-84ac-dfb092fa373e · outbound

This paper cites A Tutorial on Formulating and Using QUBO Models.

A Resource-Efficient Quantum Framework for Graph Coloring and Chromatic Number Estimation A Tutorial on Formulating and Using QUBO Models

Reference 17

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Unavailable: canonical work link unavailable.

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Observation 153ff167-8b22-47b8-b9a6-ad3f9468cb5d · outbound

This paper cites Quantum annealing in the transverse ising model,.

A Resource-Efficient Quantum Framework for Graph Coloring and Chromatic Number Estimation Quantum annealing in the transverse ising model,

Reference 18

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Observation db6567e5-fbd2-4844-a2e2-5cb65d62f4af · outbound

This paper cites A quantum adiabatic evolution algorithm applied to random instances of an np-complete problem,.

A Resource-Efficient Quantum Framework for Graph Coloring and Chromatic Number Estimation A quantum adiabatic evolution algorithm applied to random instances of an np-complete problem,

Reference 19

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Observation 467059f1-da35-45d0-b1b4-46201c31a4d5 · outbound

This paper cites A Quantum Approximate Optimization Algorithm.

A Resource-Efficient Quantum Framework for Graph Coloring and Chromatic Number Estimation A Quantum Approximate Optimization Algorithm

Reference 20

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Observation 289f1872-43cf-4b31-a7cc-f3ae20c97005 · outbound

This paper cites A review on quantum approximate optimization algorithm and its variants,.

A Resource-Efficient Quantum Framework for Graph Coloring and Chromatic Number Estimation A review on quantum approximate optimization algorithm and its variants,

Reference 21

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Observation 7a409009-4ea2-437e-add8-6ab1de243246 · outbound

This paper cites Graph coloring with quantum annealing,.

A Resource-Efficient Quantum Framework for Graph Coloring and Chromatic Number Estimation Graph coloring with quantum annealing,

Reference 22

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Observation 6d32ac3b-9aca-4abc-8fa7-68e9f0b57805 · outbound

This paper cites Graph coloring via quantum optimization on a rydberg-qudit atom array,.

A Resource-Efficient Quantum Framework for Graph Coloring and Chromatic Number Estimation Graph coloring via quantum optimization on a rydberg-qudit atom array,

Reference 23

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Observation d6489938-cdaf-4bed-ab11-8e09cd7f37bc · outbound

This paper cites Hybrid quantum- classical algorithms for approximate graph coloring,.

A Resource-Efficient Quantum Framework for Graph Coloring and Chromatic Number Estimation Hybrid quantum- classical algorithms for approximate graph coloring,

Reference 24

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation efdac07c-aa56-406e-afb8-8e61ab381aa8 · outbound

This paper cites Mapping graph coloring to quantum annealing,.

A Resource-Efficient Quantum Framework for Graph Coloring and Chromatic Number Estimation Mapping graph coloring to quantum annealing,

Reference 25

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Observation 5f2720ba-b30d-4399-8205-281fd020a3b0 · outbound

This paper cites Mapping np-hard and np-complete optimisation problems to quadratic unconstrained binary optimisation problems,.

A Resource-Efficient Quantum Framework for Graph Coloring and Chromatic Number Estimation Mapping np-hard and np-complete optimisation problems to quadratic unconstrained binary optimisation problems,

Reference 26

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Observation d0762706-4f14-47e1-9ed4-4e35e0c4e848 · outbound

This paper cites Efficient hybrid variational quantum algorithm for solving graph coloring problem.

A Resource-Efficient Quantum Framework for Graph Coloring and Chromatic Number Estimation Efficient hybrid variational quantum algorithm for solving graph coloring problem

Reference 27

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 87559eb1-80e1-4342-bdfa-90fa4069a152 · outbound

This paper cites Quantum Algorithms for Graph Coloring and other Partitioning, Covering, and Packing Problems.

A Resource-Efficient Quantum Framework for Graph Coloring and Chromatic Number Estimation Quantum Algorithms for Graph Coloring and other Partitioning, Covering, and Packing Problems

Reference 28

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Observation 4d0ae1aa-dd9e-488e-b5c1-1931c3188f1b · outbound

This paper cites Mapping NP-hard and NP-complete optimisation problems to Quadratic Unconstrained Binary Optimisation problems.

A Resource-Efficient Quantum Framework for Graph Coloring and Chromatic Number Estimation Mapping NP-hard and NP-complete optimisation problems to Quadratic Unconstrained Binary Optimisation problems

Reference 29

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation ce9b4bb0-3fa6-4a37-b948-112b213c8d84 · outbound

This paper cites Quantum optimization for the graph coloring problem with space-efficient embedding,.

A Resource-Efficient Quantum Framework for Graph Coloring and Chromatic Number Estimation Quantum optimization for the graph coloring problem with space-efficient embedding,

Reference 30

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 02ed2a00-b6c2-47ce-9eaf-447bba007d25 · outbound

This paper cites Qudit-inspired optimization for graph coloring,.

A Resource-Efficient Quantum Framework for Graph Coloring and Chromatic Number Estimation Qudit-inspired optimization for graph coloring,

Reference 31

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation c4322765-9b33-47c9-b2bf-214eda7de6ef · outbound

This paper cites Exponential-time quantum algorithms for graph coloring problems,.

A Resource-Efficient Quantum Framework for Graph Coloring and Chromatic Number Estimation Exponential-time quantum algorithms for graph coloring problems,

Reference 32

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 11e1fe0b-210a-41da-94b5-0613c790e810 · outbound

This paper cites Testing quan- tum and simulated annealers on the drone delivery packing problem,.

A Resource-Efficient Quantum Framework for Graph Coloring and Chromatic Number Estimation Testing quan- tum and simulated annealers on the drone delivery packing problem,

Reference 33

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 214306b5-5173-411f-ab30-82cef4022149 · outbound

This paper cites Drone delivery packing problem on a neutral-atom quantum computer,.

A Resource-Efficient Quantum Framework for Graph Coloring and Chromatic Number Estimation Drone delivery packing problem on a neutral-atom quantum computer,

Reference 34

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 8a5c420a-943b-41a1-9b08-1658b329a8f8 · outbound

This paper cites Exploring the Potential of Qutrits for Quantum Optimization of Graph Coloring.

A Resource-Efficient Quantum Framework for Graph Coloring and Chromatic Number Estimation Exploring the Potential of Qutrits for Quantum Optimization of Graph Coloring

Reference 35

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Unavailable: canonical work link unavailable.

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Observation a9e15c05-570f-4f08-81cc-076028720193 · outbound

This paper cites Quantum computing with Qiskit,.

A Resource-Efficient Quantum Framework for Graph Coloring and Chromatic Number Estimation Quantum computing with Qiskit,

Reference 36

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no resolver link, observed 2026-08-14T04:35:51.979862Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T04:35:51.979862Z digest=sha256:16238e6f0c4c993ee5cb7051da89b174021b58f57ea9fec41b99d0e9649c6922

Observation f5b33cee-b34e-4e11-9f35-ed4ec6eae728 · outbound

This paper cites Quantum circuits for general multiqubit gates,.

A Resource-Efficient Quantum Framework for Graph Coloring and Chromatic Number Estimation Quantum circuits for general multiqubit gates,

Reference 37

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unresolved
no resolver link, observed 2026-08-14T04:35:52.014745Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T04:35:52.014745Z digest=sha256:588d56e8c5207f0276c85b72a59b7cc96c8dcf897ddb4c6cb8f6d5a4307f52a4

Observation ee756265-5f8b-4096-be54-e5640d628cde · outbound

This paper cites On colouring the nodes of a network,.

A Resource-Efficient Quantum Framework for Graph Coloring and Chromatic Number Estimation On colouring the nodes of a network,

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T04:35:54.527540Z

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=2026-08-14T04:35:51.948068Z digest=sha256:ced43de419642b9ab9048170c9d22a116c2d72e0c8405f15549ed0ddec1d157f

Observation fdba8548-1f59-422d-a86a-985e66963281 · outbound

This paper cites Gurobi Optimizer Reference Manual,.

A Resource-Efficient Quantum Framework for Graph Coloring and Chromatic Number Estimation Gurobi Optimizer Reference Manual,

Reference 41

Resolution
unresolved
no resolver link, observed 2026-08-14T04:35:52.037304Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T04:35:52.037304Z digest=sha256:58ca7e72cc061dd77264bd3119ceb1088e0c2121012582507ff9c124727a9617

Observation 87f27592-38de-41e9-ae3c-ca21df26c735 · outbound

This paper cites Graph Coloring with Quantum Annealing.

A Resource-Efficient Quantum Framework for Graph Coloring and Chromatic Number Estimation Graph Coloring with Quantum Annealing

Reference 2020

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metadata mismatch
local_arxiv, observed 2026-08-14T04:35:53.899936Z

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=2026-08-14T04:35:51.510042Z digest=sha256:6c236df2382da49f6cdcbd316b71106914ed02a232d16fa452d27d2b8cc6cef2

Observation 55ff6147-7035-47b0-94b6-5898b97f5392 · outbound

This paper cites Available: https://www.gurobi.com APPENDIX Table II reports the data plotted in Fig.

A Resource-Efficient Quantum Framework for Graph Coloring and Chromatic Number Estimation Available: https://www.gurobi.com APPENDIX Table II reports the data plotted in Fig

Reference 2024

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T04:35:54.369584Z

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=2026-08-14T04:35:52.063950Z digest=sha256:f3e7bb2dd255a80220733759723e51631b7671704c7a5d3e2d7fc072847505a9

Observation 2d69b7b4-e1a2-4218-94f3-67bee177782b · outbound

This paper cites Available: https://arxiv.org/abs/2504.08598.

A Resource-Efficient Quantum Framework for Graph Coloring and Chromatic Number Estimation Available: https://arxiv.org/abs/2504.08598

Reference 2025

Resolution
unresolved
no resolver link, observed 2026-08-14T04:35:51.570853Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T04:35:51.570853Z digest=sha256:e194d349e62fd95698bcbf6ca2a748b96f551eadaab39055732e7c458a24b65d

Pith citing papers

No inbound Pith citation observations are available.