A saturated linear dynamical network for approximating maximum clique
نویسندگان
چکیده
منابع مشابه
A Saturated Linear Dynamical Network for Approximating Maximum Clique
We use a saturated linear gradient dynamical network for finding an approximate solution to the maximum clique problem. We show that for almost all initial conditions, any solution of the network defined on a closed hypercube reaches one of the vertices of the hypercube, and any such vertex corresponds to a maximal clique. We examine the performance of the method on a set of random graphs and c...
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In a graph, a clique is a set of vertices such that every pair is connected by an edge. MAX-CLIQUE is the optimization problem of finding the largest clique in a given graph and is NP-hard, even to approximate well. Several real-world and theory problems can be modeled as MAX-CLIQUE. In this paper, we efficiently approximate MAX-CLIQUE in a special case of the Hopfield network whose stable stat...
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ژورنال
عنوان ژورنال: IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications
سال: 1999
ISSN: 1057-7122
DOI: 10.1109/81.768824