Assume that G(V,E) is a weighted, undirected, connected graph with n vertices. The k most vital edge problem with respect to a minimum spanning tree is to find a set S* of k edges from E such that the removal of the edges in S* results in the greatest increase in the weight of the minimum spanning tree in the resulting graph G(V,E-S*). In this paper, an improved algorithm for the problem with fixed k, k≥2, has been presented. The proposed algorithm runs in time O(nkα((k+1)(n-1),n)), which...[Show more]
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