Abstract. Given a set of nodes N (i 1, 2, ..., n) which may represent cities and a set of requirements ria which may represent the number of telephone calls between N and N j, the problem is to build a spanning tree connecting these n nodes such that the total cost of communication of the spanning tree is a minimum among all spanning trees. The cost of communication for a pair of nodes is r;a multiplied by the sum of the distances of arcs which form the unique path connecting Ni and N in the spanning tree. Summing over all () pairs of nodes, we have the total cost of communication of the spanning tree. Note that the problem is different from the minimum spanning tree problem solved by Kruskal and Prim.
Hu REF introduced a generalization of the minimum routing cost spanning tree problem that he called optimum communication spanning trees.
Optimum communication spanning trees
SIAM J. Comput
Mathematics Computer Science