International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Article ID 43614, 9 pages
doi:10.1155/IJMMS/2006/43614
Vertex-strength of fuzzy graphs
Department of Mathematical Sciences, Shahid Beheshti University, Tehran 1983963113, Iran
Received 5 June 2005; Revised 11 December 2005; Accepted 18 December 2005
Copyright © 2006 Changiz Eslahchi and B. N. Onagh. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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.