Constructing edge-disjoint spanning trees in twisted cubes

  • Authors:
  • Ming-Chien Yang

  • Affiliations:
  • Department of Knowledge Management, Aletheia University, Tainan County 721, Taiwan

  • Venue:
  • Information Sciences: an International Journal
  • Year:
  • 2010

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Abstract

The use of edge-disjoint spanning trees or independent spanning trees in a network for data broadcasting has the benefits of increased of bandwidth and fault-tolerance. In this paper, we propose an algorithm which constructs n edge-disjoint spanning trees in the n-dimensional twisted cube, denoted by TQ"n. Because the n-dimensional twisted cube is n-regular, the result is optimal with respect to the number of edge-disjoint spanning trees constructed. Furthermore, we also show that n2 of the n edge-disjoint spanning trees constructed are independent spanning trees. This algorithm runs in time O(NlogN) and can be parallelized to run in time O(logN) where N is the number of nodes in TQ"n.