Graceful Labelling for Complete Bipartite Fuzzy Graphs
R. Jebesty Shajila *
Department of Mathematics, Mother Teresa Women’s University, Kodaikannal, Tamilnadu, India.
S. Vimala
Mother Teresa Women’s University, Kodaikannal, Tamilnadu, India.
*Author to whom correspondence should be addressed.
Abstract
The concept of fuzzy graceful labelling is introduced. A graph which admits a fuzzy graceful labelling is called a fuzzy graceful graph. Fuzzy graceful labelled graphs are becoming an increasingly useful family of mathematical models for a broad range of applications. In this paper the concept of fuzzy graceful labelling is applied to complete bipartite graphs. Also we discussed the edge and vertex gracefulness of some complete bipartite graphs.
Keywords: Fuzzy labelling, graceful labelling, fuzzy graceful labelling, fuzzy edge- vertex graceful labelling, fuzzy bipartite graph