Unidirectional star graphs

Khaled Day, Anand Tripathi

Research output: Contribution to journalArticle

27 Citations (Scopus)

Abstract

We propose an assignment of directions to the edges of the n-star graph and derive attractive properties for the resulting unidirectional star graph USn. A simple polarity function is used to define the directions of the edges. USn is shown to be strongly connected and recursively structured. The number of incoming ports of a node in USn is equal to the number of its outgoing ports (plus or minus one when n is even). The polarities of the ports of a neighboring node can be directly obtained from the polarities of the ports of the local node. These properties have allowed the design of a near optimal distributed routing algorithm as indicated by simulation results on all USn graphs with up to 362,880 nodes.

Original languageEnglish
Pages (from-to)123-129
Number of pages7
JournalInformation Processing Letters
Volume45
Issue number3
DOIs
Publication statusPublished - Mar 8 1993

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Keywords

  • Combinatorial problems
  • directed graphs
  • distributed computing
  • distributed routing
  • interconnection networks
  • star graphs

ASJC Scopus subject areas

  • Computational Theory and Mathematics

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