Dense Trivalent Graphs for Processor Interconnection

  • Authors:
  • W. E. Leland;M. H. Solomon

  • Affiliations:
  • Department of Computer Sciences, University of Wisconsin;-

  • Venue:
  • IEEE Transactions on Computers
  • Year:
  • 1982

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Abstract

This paper presents a new family of undirected graphs that allows N processors to be connected in a network of diameter 3/2 log2 N + O(1), while only requiring that each processor be connected to three neighbors. The best trivalent graphs previously proposed require a diameter of 2 log2N + O(1).