A parallel algorithm for multiple edge updates of minimum spanning trees

Abstract

The authors present a parallel algorithm for the multiple edge update problem on a minimum spanning tree. This problem is defined as follows: given a minimum spanning tree T(V,E/sub T/) of an undirected graph G(V,E), where mod V mod =n and E/sub T/ is the set of tree edges, recompute a new minimum spanning tree when (1) adding K new edges, (2) changing the weights of existent K edges, or (3) deleting a vertex of degree K in the tree, where 1>