New results for the degree/diameter problem

Research paper by Michael J. Dinneen, Paul R. Hafner

Indexed on: 12 Apr '95Published on: 12 Apr '95Published in: Mathematics - Combinatorics


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.