2016/11/16 by F. Aguiló-Gost, M.A. Fiol, Aguiló, F. +3
Engineering · Computer Science · #graph theory and CDMA systems #Graph Labeling and Dimension Problems #Advanced Graph Theory Research
paper · pdf · doi:10.48550/arxiv.1611.05404
A geometric method for obtaining an infinite family of Cayley digraphs of constant density on finite Abelian groups is presented. The method works for any given degree and it is based on consecutive dilates of a minimum distance diagram associated with a given initial Cayley digraph. The method is used to obtain infinite families of dense or asymptotically dense Cayley digraphs. In particular, for degree d=3, an infinite family of maximum known density is proposed.