Article ID Journal Published Year Pages File Type
428221 Information Processing Letters 2007 6 Pages PDF
Abstract

Domination is an important property in the design of efficient computer interconnection networks. We provide a complete characterization of circulant graphs with two chord lengths that admit an efficient dominating set. In particular, for 3-regular and 4-regular circulant graphs, we give necessary and sufficient conditions for the existence of efficient dominating sets and we describe their exact structure according to the relationship between chords.

Related Topics
Physical Sciences and Engineering Computer Science Computational Theory and Mathematics