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¡°Çì×£½¨Ð£ËÄÊ®ÄꡱϵÁÐѧÊõ»î¶¯Ö®ÈýÔªÃû¼ÒÂÛ̳:Iterated Clique Reduction in Vertex Weighted Coloring for Large Sparse Graphs
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½²×ùÖ÷Ì⣺Iterated Clique Reduction in Vertex Weighted Coloring for Large Sparse Graphs

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We propose a reduction algorithm based on maximal clique enumeration. More specifically our algorithm utilizes a certain proportion of maximal cliques and obtains lower bounds in order to perform reductions. It alternates between clique sampling and graph reductions and consists of three successive procedures: promising clique reductions, better bound reductions and post reductions. Experimental results show that our algorithm returns considerably smaller subgraphs for numerous large benchmark graphs, compared to the most recent method named RedLS. Also, we evaluate individual impacts and some practical properties of our algorithm. Furthermore, we have a theorem which indicates that the reduction effects of our algorithm are equivalent to that of a counterpart which enumerates all maximal cliques in the whole graph if the run time is sufficiently long.

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