An exact algorithm to find a maximum weight clique in a weighted undirected graph

Abstract We introduce a new algorithm MaxCliqueWeight for identifying a maximum weight clique in a weighted graph, and its variant MaxCliqueDynWeight with dynamically varying bounds. This algorithm uses an efficient branch-and-bound approach with a new weighted graph coloring algorithm that efficien...

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Bibliographic Details
Main Authors: Kati Rozman, An Ghysels, Dušanka Janežič, Janez Konc
Format: Article
Language:English
Published: Nature Portfolio 2024-04-01
Series:Scientific Reports
Online Access:https://doi.org/10.1038/s41598-024-59689-x