ON k-ARY n-CUBES: THEORY AND APPLICATIONS

  • Authors:
  • Weizhen Mao;David M. Nicol

  • Affiliations:
  • -;-

  • Venue:
  • ON k-ARY n-CUBES: THEORY AND APPLICATIONS
  • Year:
  • 1994

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Abstract

Many parallel processing networks can be viewed as graphs called k-ary n-cubes, whose special cases include rings, hypercubes and toruses. In this paper, combinatorial properties of k-ary n-cubes are explored. In particular, the problem of characterizing the subgraph of a given number of nodes with the maximum edge count is studied. These theoretical results are then used to compute a lower bounding function in branch-and-bound partitioning algorithms and to establish the optimality of some irregular partitions.