A short review on the maximum clique problem algorithms with classical, AI, and quantum methods

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Authors: Raffaele Marino, Lorenzo Buffoni, Bogdán Zaválnij
Cited by: 1
References: 207

Abstract

Abstract This manuscript provides a comprehensive review of the Maximum Clique Problem, a computational problem that involves finding subsets of vertices in a graph that are all pairwise adjacent to each other. As such, this review is a continuation of the series of previous reviews from 1994, 1999 and 2014. The manuscript covers in a simple way classical algorithms and includes a review of recent developments in graph neural networks and quantum algorithms.

Fields of Study & Subjects

Quantum Computing Algorithms and Architecture

Publication details

Journal / source
Communications Physics
Publisher
Springer Science and Business Media LLC
Volume
9
Issue
1
Publication date
16 July 2026
Language
EN