English

New results for the degree/diameter problem

Combinatorics 2008-02-03 v1

Abstract

The results of computer searches for large graphs with given (small) degree and diameter are presented. The new graphs are Cayley graphs of semidirect products of cyclic groups and related groups. One fundamental use of our ``dense graphs'' is in the design of efficient communication network topologies.

Keywords

Cite

@article{arxiv.math/9504214,
  title  = {New results for the degree/diameter problem},
  author = {Michael J. Dinneen and Paul R. Hafner},
  journal= {arXiv preprint arXiv:math/9504214},
  year   = {2008}
}

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15 pages