Polyhedral results for the Equitable Coloring Problem
نویسندگان
چکیده
منابع مشابه
Polyhedral results for the Equitable Coloring Problem
In this work we study the polytope associated with a 0/1 integer programming formulation for the Equitable Coloring Problem. We find several families of valid inequalities and derive sufficient conditions in order to be facet-defining inequalities. We also present computational evidence of the effectiveness of including these inequalities as cuts in a Branch & Cut algorithm.
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In this work we study the polytope associated with a 0,1-integer programmingformulation for the Equitable Coloring Problem. We find several families ofvalid inequalities and derive sufficient conditions in order to be facet-defininginequalities. We also present computational evidence that shows the efficacyof these inequalities used in a cutting-plane algorithm.
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This paper describes a new exact algorithm for the Equitable Coloring Problem, a coloring problem where the sizes of two arbitrary color classes differ in at most one unit. Based on the well known DSatur algorithm for the classic Coloring Problem, a pruning criterion arising from equity constraints is proposed and analyzed. The good performance of the algorithm is shown through computational ex...
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An edge coloring of a multigraph is nearly equitable if, among the edges incident to each vertex, the numbers of edges colored with any two colors differ by at most two. It has been proved that the problem of finding a nearly equitable edge coloring can be solved in O(m/k) time, where m and k are the numbers of edges and given colors, respectively. In this paper, we present a recursive algorith...
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ژورنال
عنوان ژورنال: Electronic Notes in Discrete Mathematics
سال: 2011
ISSN: 1571-0653
DOI: 10.1016/j.endm.2011.05.028