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Article Dans Une Revue Discrete Applied Mathematics Année : 2014

On the polyhedral structure of uniform cut polytopes

Résumé

A uniform cut polytope is defined as the convex hull of the incidence vectors of all cuts in an undirected graph G for which the cardinalities of the shores are fixed. In this paper, we study linear descriptions of such polytopes. Complete formulations are presented for the cases when the cardinality k of one side of the cut is equal to 1 or 2. For larger values of k, investigations with relation to the shape of these polytopes are reported. We namely determine their diameter and also provide new families of facet-defining inequalities

Dates et versions

hal-01263379 , version 1 (27-01-2016)

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José Neto. On the polyhedral structure of uniform cut polytopes. Discrete Applied Mathematics, 2014, 175, pp.62 - 70. ⟨10.1016/j.dam.2014.05.032⟩. ⟨hal-01263379⟩
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