Many-to-many n-disjoint path covers in n-dimensional hypercubes

  • Authors:
  • Di Liu;Jing Li

  • Affiliations:
  • Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an, Shaanxi 710072, China;School of Mathematical Sciences, Shanxi University, Taiyuan, Shanxi 030006, China

  • Venue:
  • Information Processing Letters
  • Year:
  • 2010

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Abstract

Embedding of paths have attracted much attention in the parallel processing. Many-to-many communication is one of the most central issues in various interconnection networks. In this paper, we investigate the problem of many-to-many unpaired n-disjoint path covers in the n-dimensional hypercube Q"n and obtain the following result. For any two sets S and T of n vertices in different parts, Q"n has many-to-many unpaired n-disjoint (S,T)-path covers except the case that there exists a vertex v such that N"Q"""n(v)=S and v@?T or N"Q"""n(v)=T and v@?S.