Abstract
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.
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