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

  • Authors:
  • Bang Ye Wu

  • Affiliations:
  • Department of Computer Science and Information Engineering, Shu-Te University, YenChau, KaoShiung, 824, Taiwan, ROC

  • Venue:
  • Discrete Applied Mathematics
  • Year:
  • 2004

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Abstract

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.