Signed and Minus Domination in Complete Multipartite Graphs

Hongyu Liang1
1Institute for Interdisciplinary Information Sciences, Tsinghua University, Beijing, China.

Abstract

In this paper we determine the exact values of the signed domination number, signed total domination number, and minus domination number of complete multipartite graphs, which substantially generalizes some previous results obtained for special subclasses of complete multipartite graphs such as cliques and complete bipartite graphs.