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Solving maximum cut problems by simulated annealing

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arxiv 1505.03068 v1 pith:QY6TBLOJ submitted 2015-05-09 math.OC

classification math.OC
keywords maximumannealingimplementationproblemssimulatedsolvingallowsaragon
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This paper gives a straightforward implementation of simulated annealing for solving maximum cut problems and compares its performance to that of some existing heuristic solvers. The formulation used is classical, dating to a 1989 paper of Johnson, Aragon, McGeoch, and Schevon. This implementation uses no structure peculiar to the maximum cut problem, but its low per-iteration cost allows it to find better solutions than were previously known for 40 of the 89 standard maximum cut instances tested within a few minutes of computation.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. HeurAgenix: Leveraging LLMs for Solving Complex Combinatorial Optimization Challenges

    cs.AI 2025-06 conditional novelty 6.0 of 10

    An LLM-driven two-stage hyper-heuristic framework that evolves a pool of heuristics and adaptively selects among them, outperforming prior LLM hyper-heuristics on TSP, CVRP, MKP, and JSSP.

  2. Accuracy and Performance Evaluation of Quantum, Classical and Hybrid Solvers for the Max-Cut Problem

    math.OC 2024-12 conditional novelty 5.0 of 10

    On 139 Max-Cut instances, classical simulated annealing and Toshiba's SBM match or beat D-Wave's Hybrid solver on large graphs, and the fast-annealing QPU misses the global optimum on nearly all small instances.

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