A fresh look at a randomized massively parallel graph coloring algorithm

Authors

  • Boštjan Gabrovšek University of Ljubljana, Faculty of Mechanical Engineering, Aškerčeva 6, 1000 Ljubljana, Slovenia / Institute of Mathematics, Physics and Mechanics, Jadranska ulica 19, 1000 Ljubljana, Slovenia
  • Janez Žerovnik University of Ljubljana, Faculty of Mechanical Engineering, Aškerčeva 6, 1000 Ljubljana, Slovenia / Rudolfovo – Science and Technology Centre Novo mesto, Podbreznik 15, 8000 Novo mesto, Slovenia

Abstract

Petford and Welsh introduced a sequential heuristic algorithm to provide an approximate solution to the NP-hard graph coloring problem. The algorithm is based on the antivoter model and mimics the behavior of a physical process based on a multi-particle system of statistical mechanics. It was later shown that the algorithm can be implemented in a massively parallel model of computation. The increase in computational processing power in recent years allows us to perform an extensive analysis of the algorithms on a larger scale, leading to the possibility of a more comprehensive understanding of the behavior of the algorithm, including the phase transition phenomena.

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Published

2024-10-07

Issue

Vol. 15 No. 2 (2024): CRORR

Section

CRORR Journal Regular Issue

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