International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Issue 2, Article ID 43614, 9 pages
doi:10.1155/IJMMS/2006/43614
Vertex-strength of fuzzy graphs
Changiz Eslahchi
and B.N. Onagh
Department of Mathematical Sciences, Shahid Beheshti University, Tehran 1983963113, Iran
Abstract
The fuzzy coloring of a fuzzy graph was defined by the authors in Eslahchi and Onagh (2004). In this paper we define the chromatic fuzzy sum and strength of fuzzy graph. Some properties of these concepts are studied. It is shown that there exists an upper (a lower) bound for the chromatic fuzzy sum of a fuzzy graph.