A Linear-Time Algorithm to Find Independent Spanning Trees in Maximal Planar Graphs

  • Authors:
  • Sayaka Nagai;Shin-Ichi Nakano

  • Affiliations:
  • -;-

  • Venue:
  • WG '00 Proceedings of the 26th International Workshop on Graph-Theoretic Concepts in Computer Science
  • Year:
  • 2000

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Abstract

Given a graph G, a designated vertex r and a natural number k, we wish to find k "independent" spanning trees of G rooted at r, that is, k spanning trees such that, for any vertex v, the k paths connecting r and v in the k trees are internally disjoint in G. In this paper we give a linear-time algorithm to find k independent spanning trees in a k-connected maximal planar graph rooted at any designated vertex.