THE MOST VITAL EDGES OF MATCHING IN A BIPARTITE GRAPH

Abstract

Let G = (VE) be an undirected graph having an edge weight w(e) greater-than-or-equal-to 0 for each e is-an-element-of E. An edge is called a most vital edge (with respect to weighted matching) if its removal from G results in the largest decrease in the total weight of the maximum weighted matching. In this paper, we study the most vital edges of matching in a weighted bipartite graph. We present an 0(n3) algorithm to obtain the most vital edges.