Polyhedral studies in Domination Graph Theory (I)
نویسنده
چکیده
This paper discusses polyhedral approaches to problems in Domination Graph Thoery. We give various linear integer programming formulations for the weighted and unweighted versions of the minimum dominating set problem. We study the associated polytopes and determine dimension of the polytopes, facets, valid inequalities et al. Ideas from integer programming such as lift and project are used to derive strong formulations. Polyhedral connections between the dominating set polytope, spanning tree polytope and the matching polytope are established. Integer programming formulations and associated polyhedral results for the weighted versions of the related problems: Minimum Weakly Connected Dominating Set and Minimum Connected Dominating are discussed.
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تاریخ انتشار 2003