An improved algorithm for the k-source maximum eccentricity spanning trees Original Research Article

Let G=(V,E,w) be an undirected graph with positive edge lengths and S⊂V a set of k specified sources. The k-source maximum eccentricity spanning tree is a spanning tree T minimizing the maximum distance from a source to a vertex, i.e., maxs∈S {maxv∈V{dT(s,v)}}, where dT(s,v) is the length of the path between s and v in T. In this paper, we propose an O(|V|2 log |V|+|V| |E|) time algorithm, which improves the previous result on the problem.