Design to Minimize Diameter on Building-Block Network

  • Authors:
  • M. Imase;M. Itoh

  • Affiliations:
  • Musashino Electrical Communication Laboratory, Nippon Telegraph and Telephone Public Corporation;-

  • Venue:
  • IEEE Transactions on Computers
  • Year:
  • 1981

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Abstract

This paper proposes a simple algorithm for the graph design of small-diameter networks. For given nodes n and degree d, this algorithm can be used to construct a directed graph with diameter ?logd n?, which is at most one larger than the lower bound ?logd (n(d - 1) + 1)? - 1. Its average distance is also close to the lower bound. The algorithm can be used to construct a directed graph with smaller diameter, compared with any other conventional methods, when n is larger.