A polynomial algorithm for the minimum weighted clique cover problem on claw-free perfect graphs |
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Authors: | Wen-Lian HSU George L. Nemhauser |
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Affiliation: | Northwestern University, Chicago, IL. 60611, USA;Cornell University, Upson Hall, Ithaca, NY 14853, USA |
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Abstract: | Let G = (V, E) be a graph with a positive number wt(v) assigned to each v ? v. A weighted clique cover of the vertices of G is a collection of cliques with a non-negative weight yc assigned to each clique C in the collection such that σC:v?CYC?wt(v) for all v ? V. The problem considered is to minimize σCyC over all weighted clique covers. A polynomial time algorithm for this problem is presented for graphs that are claw-free and perfect. |
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