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A Method for Computing Upper Bounds on the Size of a Maximum Clique

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Abstract

Maximum clique problem is to find a maximum clique (largest insize) in an undirected graph G. We present a method thatcomputes either a maximum clique or an upper bound for the size ofa maximum clique in G. We show that this method performs wellon certain class of graphs and discuss the application of thismethod in a branch and bound algorithm for solving maximum cliqueproblem, whose efficiency is depended on the computation of goodupper bounds.

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