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IASI Research Report n. 196 (Previous Next) Conforti M.,

Rao M.R.,

Sassano A.The equipartition polytope II: valid inequalities and facets.ABSTRACT The equipartition problem is defined as follows: given a graph G = (V, E) and edge weights c_e, partition the set V into two sets of ............and......... nodes in such a way that the sum of the weights of edges not having both endnodes in the same set is maximized or minimized.
An equicut is a feasible solution of the above problem and the equicut polytope Q(G) is the convex hull of the incidence vectors of equicuts in G. In this paper we describe some facet inducing inequalities of this polytope.