A Binary Harmony Search Algorithm for Solving the Maximum Clique Problem

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Solving the maximum clique problem using a tabu search approach

We describe two variants of a tabu search heuristic, a deterministic one and a probabilistic one, for the maximum clique problem. This heuristic may be viewed as a natural alternative implementation of tabu search for this problem when compared to existing ones. We also present a new random graph generator, the/S-generator, which produces graphs with larger clique sizes than comparable ones obt...

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Modified Approach for Solving Maximum Clique Problem

1.1 Maximum Clique Problem Assume that the finite undirected simple graph is given, where V is the set of nodes, E is the set of edges. The arbitrary full graph is called a clique. The clique, which does not contain other cliques, is called a maximal Clique. The largest maximal clique is called a maximum clique. To extract all maximal cliques from the graph G. Many algorithms have...

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Solving the Maximum Clique Problem Using PUBB

Given an (undirected) graph G = (V;E); a clique of G is a subset of vertices in which every pair is connected by an edge. The problem of finding a clique of maximum size is a classical NP–hard problem, and many algorithms, both heuristic and exact, have been proposed. While the philosophy behind the heuristic algorithms varies greatly, almost all of the exact algorithms are designed in the bran...

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On solving the maximum clique problem

Abstract. The Maximum Clique Problem (MCP) is regarded here as the maximization of an indefinite quadratic form over the canonical simplex. For solving MCP an algorithm based upon Global Optimality Conditions (GOC) is applied. Furthermore, each step of the algorithm is analytically investigated and tested. The computational results for the proposed algorithm are compared with other Global Searc...

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ژورنال

عنوان ژورنال: International Journal of Computer Applications

سال: 2013

ISSN: 0975-8887

DOI: 10.5120/11897-7956