Paper Citation Record · LEDGER

Adaptive Graph Shrinking for Quantum Optimization of Constrained Combinatorial Problems

As of 13 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 1 inbound Pith citation observation for arXiv:2506.14250.

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

pith.paper-citation-record.v1
2506.14250 v1

Coverage vector

measured 40 of 40 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T00:26:12.945367Z

measured 41 of 41 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T17:00:11.892407Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-06T17:00:14.221382Z

Reference resolution

40 of 40 outbound references displayed

verified exact0
verified fuzzy33
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External citation measurements

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Outbound references

Observation 4cd20117-b0ba-4fee-8cca-8447c5f92150 · outbound

This paper cites A review of simheuristics: Extending metaheuristics to deal with stochastic com- binatorial optimization problems.

Adaptive Graph Shrinking for Quantum Optimization of Constrained Combinatorial Problems A review of simheuristics: Extending metaheuristics to deal with stochastic com- binatorial optimization problems

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:26:13.631784Z

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Observation fcca1d0a-99c3-4d0e-b8d2-4ee9b7ce562b · outbound

This paper cites Springer Science & Business Media, 1998.

Adaptive Graph Shrinking for Quantum Optimization of Constrained Combinatorial Problems Springer Science & Business Media, 1998

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-07T00:26:12.785287Z

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Observation 05965b2a-dfe8-4bc8-869d-375f1a7c0bc4 · outbound

This paper cites Ma- chine learning for combinatorial optimization: a method- ological tour d’horizon.European Journal of Operational Research, 290(2):405–421, 2021.

Adaptive Graph Shrinking for Quantum Optimization of Constrained Combinatorial Problems Ma- chine learning for combinatorial optimization: a method- ological tour d’horizon.European Journal of Operational Research, 290(2):405–421, 2021

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:26:13.610625Z

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Observation 99fa9e7b-ef34-466c-a698-52e9793f7465 · outbound

This paper cites Optimal inapproximability results for max- cut and other 2-variable csps?SIAM Journal on Com- puting, 37(1):319–357, 2007.

Adaptive Graph Shrinking for Quantum Optimization of Constrained Combinatorial Problems Optimal inapproximability results for max- cut and other 2-variable csps?SIAM Journal on Com- puting, 37(1):319–357, 2007

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:26:13.597745Z

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Observation a15c2ed9-3f5f-4381-9765-7081f36360a0 · outbound

This paper cites A quantum approximate optimization algorithm, 2014.

Adaptive Graph Shrinking for Quantum Optimization of Constrained Combinatorial Problems A quantum approximate optimization algorithm, 2014

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:26:13.584939Z

Source-reported events for the cited work

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Observation 5eb90bd6-43e1-452e-955c-84647c291352 · outbound

This paper cites A variational eigenvalue solver on a photonic quantum processor.Nature commu- nications, 5(1):4213, 2014.

Adaptive Graph Shrinking for Quantum Optimization of Constrained Combinatorial Problems A variational eigenvalue solver on a photonic quantum processor.Nature commu- nications, 5(1):4213, 2014

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:26:13.572311Z

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Observation 2232c76f-6a72-48c9-aff9-69f23d2021b8 · outbound

This paper cites Integrated error-suppressed pipeline for quantum optimization of nontrivial binary combinatorial optimization problems on gate-model hardware at the 156-qubit scale.

Adaptive Graph Shrinking for Quantum Optimization of Constrained Combinatorial Problems Integrated error-suppressed pipeline for quantum optimization of nontrivial binary combinatorial optimization problems on gate-model hardware at the 156-qubit scale

Reference 7

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Observation 95fac26c-4d61-4f80-849c-8cba70c2e287 · outbound

This paper cites Herzog, Friedrich Wagner, Christian Ufrecht, Lilly Palackal, Axel Plinge, Christopher Mutschler, and Daniel D.

Adaptive Graph Shrinking for Quantum Optimization of Constrained Combinatorial Problems Herzog, Friedrich Wagner, Christian Ufrecht, Lilly Palackal, Axel Plinge, Christopher Mutschler, and Daniel D

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:26:13.559695Z

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Observation 3d86eef2-0fbc-4af7-887e-472dacc12b16 · outbound

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Adaptive Graph Shrinking for Quantum Optimization of Constrained Combinatorial Problems Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-07T00:26:13.546710Z

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Observation 7a794316-58bb-4e88-b541-28b5999d4990 · outbound

This paper cites Experiments in quadratic 0–1 programming.

Adaptive Graph Shrinking for Quantum Optimization of Constrained Combinatorial Problems Experiments in quadratic 0–1 programming

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:26:13.535306Z

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Observation d64627c4-a965-4c66-8332-cac5568fd657 · outbound

This paper cites Springer, 2004.

Adaptive Graph Shrinking for Quantum Optimization of Constrained Combinatorial Problems Springer, 2004

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:26:13.522865Z

Source-reported events for the cited work

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Observation 21619336-2273-422c-a078-038fdda80cfe · outbound

This paper cites Find- ing a maximum independent set.SIAM Journal on Com- puting, 6(3):537–546, 1977.

Adaptive Graph Shrinking for Quantum Optimization of Constrained Combinatorial Problems Find- ing a maximum independent set.SIAM Journal on Com- puting, 6(3):537–546, 1977

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:26:13.510006Z

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Observation fccbd62c-94c3-4011-a6f3-43c39a54528a · outbound

This paper cites Assign- ment problems and the location of economic activities.

Adaptive Graph Shrinking for Quantum Optimization of Constrained Combinatorial Problems Assign- ment problems and the location of economic activities

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:26:13.497697Z

Source-reported events for the cited work

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Observation 9a9a2904-5dd6-45b9-946a-da589a9b16a4 · outbound

This paper cites Benchmark instances for the multidimen- sional knapsack problem.

Adaptive Graph Shrinking for Quantum Optimization of Constrained Combinatorial Problems Benchmark instances for the multidimen- sional knapsack problem

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:26:13.484881Z

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Observation 23b87c54-cd95-44c7-b83e-e8d13ac3d6d7 · outbound

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Adaptive Graph Shrinking for Quantum Optimization of Constrained Combinatorial Problems Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-07T00:26:13.472494Z

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Observation 1096dc9d-aec9-457e-a327-b0c7ea65f0f3 · outbound

This paper cites Burkard, Stefan E.

Adaptive Graph Shrinking for Quantum Optimization of Constrained Combinatorial Problems Burkard, Stefan E

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:26:13.460234Z

Source-reported events for the cited work

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Observation 8cb0e042-c9cf-4d3f-b742-1d33e1f5b0ce · outbound

This paper cites QAPLIB: Quadratic Assignment Problem Library – Problem Instances and Solutions.

Adaptive Graph Shrinking for Quantum Optimization of Constrained Combinatorial Problems QAPLIB: Quadratic Assignment Problem Library – Problem Instances and Solutions

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:26:13.447714Z

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Observation 4a2a028b-a914-4e6f-bef2-041dc4b8857c · outbound

This paper cites Graph decomposition techniques for solving combinatorial optimization problems with variational quantum algorithms.

Adaptive Graph Shrinking for Quantum Optimization of Constrained Combinatorial Problems Graph decomposition techniques for solving combinatorial optimization problems with variational quantum algorithms

Reference 18

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Observation dfc9b7f0-b1b3-4aeb-9809-a7857f26f1a1 · outbound

This paper cites Seymour and Robin Thomas.

Adaptive Graph Shrinking for Quantum Optimization of Constrained Combinatorial Problems Seymour and Robin Thomas

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:26:13.436020Z

Source-reported events for the cited work

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Observation b9cf48c2-4782-4554-ad4d-4b6e982beca4 · outbound

This paper cites Bridging classical and quan- tum with sdp initialized warm-starts for qaoa, 2022.

Adaptive Graph Shrinking for Quantum Optimization of Constrained Combinatorial Problems Bridging classical and quan- tum with sdp initialized warm-starts for qaoa, 2022

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:26:13.423949Z

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Observation c0b04bc2-e78c-446e-8575-b9d9f7496cea · outbound

This paper cites A branch-and- cut algorithm for the resolution of large-scale symmetric travelingsalesmanproblems.

Adaptive Graph Shrinking for Quantum Optimization of Constrained Combinatorial Problems A branch-and- cut algorithm for the resolution of large-scale symmetric travelingsalesmanproblems

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:26:13.411623Z

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Observation 396f76f8-8e24-400e-911d-fd5d58ca9b9f · outbound

This paper cites Author and B.

Adaptive Graph Shrinking for Quantum Optimization of Constrained Combinatorial Problems Author and B

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:26:13.399173Z

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Observation 28368024-1f80-4e16-9856-d91eff85fa26 · outbound

This paper cites Quantum approximate optimization of non-planar graph problems on a planar superconducting processor.Nature Physics, 17(3):332–336, 2021.

Adaptive Graph Shrinking for Quantum Optimization of Constrained Combinatorial Problems Quantum approximate optimization of non-planar graph problems on a planar superconducting processor.Nature Physics, 17(3):332–336, 2021

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:26:13.386952Z

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Observation 588e5407-defd-4573-a0ff-779deeeda7e6 · outbound

This paper cites Quantum-informed recursive optimization algorithms.

Adaptive Graph Shrinking for Quantum Optimization of Constrained Combinatorial Problems Quantum-informed recursive optimization algorithms

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:26:13.373814Z

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Observation c7cbda47-c24d-42d9-93bc-cba27b84ea0a · outbound

This paper cites A separator theorem for planar graphs.

Adaptive Graph Shrinking for Quantum Optimization of Constrained Combinatorial Problems A separator theorem for planar graphs

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:26:13.361258Z

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Observation 08abdc95-bc8d-43a8-bb42-968b2a27c274 · outbound

This paper cites Finding near-optimal independent sets at scale.

Adaptive Graph Shrinking for Quantum Optimization of Constrained Combinatorial Problems Finding near-optimal independent sets at scale

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:26:13.348976Z

Source-reported events for the cited work

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Observation 645feb23-b51c-46bd-973b-f3a088f64851 · outbound

This paper cites Wahl and Sergii Strelchuk.

Adaptive Graph Shrinking for Quantum Optimization of Constrained Combinatorial Problems Wahl and Sergii Strelchuk

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:26:13.337058Z

Source-reported events for the cited work

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Observation 8d8175a2-688e-4d92-9adc-1895f11954f0 · outbound

This paper cites Multilevel combinatorial optimization across quantum architectures.ACM Transactions on Quantum Computing, 2(1):1–29, 2021.

Adaptive Graph Shrinking for Quantum Optimization of Constrained Combinatorial Problems Multilevel combinatorial optimization across quantum architectures.ACM Transactions on Quantum Computing, 2(1):1–29, 2021

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:26:13.325635Z

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Observation b344828c-a9e8-4ad2-852c-f4f7f11bd319 · outbound

This paper cites A constraint programming approach for qubo solving and quantum annealing.

Adaptive Graph Shrinking for Quantum Optimization of Constrained Combinatorial Problems A constraint programming approach for qubo solving and quantum annealing

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:26:13.312834Z

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Observation 03a14a1a-bef3-413b-bfe1-7ea72713f08b · outbound

This paper cites Ising formulations of many np problems.

Adaptive Graph Shrinking for Quantum Optimization of Constrained Combinatorial Problems Ising formulations of many np problems

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:26:13.300206Z

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Observation 4b6dc3f8-ffc3-4783-834f-7185619c8d2e · outbound

This paper cites Quantum approximate optimization with parallelizable gates.

Adaptive Graph Shrinking for Quantum Optimization of Constrained Combinatorial Problems Quantum approximate optimization with parallelizable gates

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:26:13.287178Z

Source-reported events for the cited work

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Observation dfe85504-cb6d-4d85-b608-14f3bdd37742 · outbound

This paper cites Improved approximation algorithms for maximum cut and satisfia- 24 bility problems using semidefinite programming.Journal of the ACM (JACM), 42(6):1115–1145, 1995.

Adaptive Graph Shrinking for Quantum Optimization of Constrained Combinatorial Problems Improved approximation algorithms for maximum cut and satisfia- 24 bility problems using semidefinite programming.Journal of the ACM (JACM), 42(6):1115–1145, 1995

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:26:13.275323Z

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Observation 30964d78-161e-43d3-80b0-830121c7a4ed · outbound

This paper cites A unified framework for optimization-based graph coarsen- ing.

Adaptive Graph Shrinking for Quantum Optimization of Constrained Combinatorial Problems A unified framework for optimization-based graph coarsen- ing

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:26:13.263061Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 348fdd4f-d33b-4091-a77f-0dbca56b30ea · outbound

This paper cites Graph coars- ening with preserved spectral properties.

Adaptive Graph Shrinking for Quantum Optimization of Constrained Combinatorial Problems Graph coars- ening with preserved spectral properties

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:26:13.249871Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 7922c4df-0ba9-42d4-ac1c-3c0535fe5893 · outbound

This paper cites Spectrally approximating large graphs with smaller graphs.

Adaptive Graph Shrinking for Quantum Optimization of Constrained Combinatorial Problems Spectrally approximating large graphs with smaller graphs

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:26:13.237605Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 610e535c-f624-40a8-88ec-ec57ef378151 · outbound

This paper cites Dey, Pan Peng, Alfred Rossi, and Anasta- sios Sidiropoulos.

Adaptive Graph Shrinking for Quantum Optimization of Constrained Combinatorial Problems Dey, Pan Peng, Alfred Rossi, and Anasta- sios Sidiropoulos

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:26:13.226194Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 2365fdc1-32a9-4d3a-a109-7b9f36ea4030 · outbound

This paper cites A review on quantum approximate optimization algorithm and its variants.Physics Reports, 1068:1–66, June 2024.

Adaptive Graph Shrinking for Quantum Optimization of Constrained Combinatorial Problems A review on quantum approximate optimization algorithm and its variants.Physics Reports, 1068:1–66, June 2024

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:26:13.214718Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 2ad1d26c-5cc2-4dc7-9292-463ea3132ae4 · outbound

This paper cites Approximate solutions of combinatorial problems via quantum relaxations.

Adaptive Graph Shrinking for Quantum Optimization of Constrained Combinatorial Problems Approximate solutions of combinatorial problems via quantum relaxations

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:26:13.203074Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 7b82575b-2744-451b-a598-bde5a929043d · outbound

This paper cites Our method consistently produced feasible solutions across all instances and achieved competitive optimality gaps.

Adaptive Graph Shrinking for Quantum Optimization of Constrained Combinatorial Problems Our method consistently produced feasible solutions across all instances and achieved competitive optimality gaps

Reference 39

Resolution: malformed identifier; raw_fallback, observed 2026-08-07T00:26:13.190576Z

Source-reported events for the cited work

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Observation 74e20b57-2714-4770-91e3-e498f89b3a8b · outbound

This paper cites Fixed- ratio strategies reduced the problem to⌊2/3 · n⌋ and ⌊1/2 · n⌋ variables (qubits), wheren is the original problem size.

Adaptive Graph Shrinking for Quantum Optimization of Constrained Combinatorial Problems Fixed- ratio strategies reduced the problem to⌊2/3 · n⌋ and ⌊1/2 · n⌋ variables (qubits), wheren is the original problem size

Reference 40

Resolution: malformed identifier; raw_fallback, observed 2026-08-07T00:26:13.152525Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Pith citing papers

Observation 68e813db-f0d7-47a9-9c81-3332980932f6 · inbound

Cutting Slack: Quantum Optimization with Slack-Free Methods for Combinatorial Benchmarks cites this paper.

Cutting Slack: Quantum Optimization with Slack-Free Methods for Combinatorial Benchmarks Adaptive Graph Shrinking for Quantum Optimization of Constrained Combinatorial Problems

Reference 53

Resolution: verified exact; local_arxiv, observed 2026-08-06T17:00:14.298771Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.