Energy of Fuzzy Regular and Graceful Graphs
A. Nagarani *
Research Scholar, Department of Mathematics, Mother Teresa Women’s University, Kodaikanal, India.
S. Vimala
Department of Mathematics, Mother Teresa Women’s University, Kodaikanal, India
*Author to whom correspondence should be addressed.
Abstract
Energy of graph and energy of fuzzy graph is the sum of the absolute values of the eigen values of adjacency matrix. The concept of energy of fuzzy graph is extended to fuzzy regular, totally regular and graceful graphs in this paper. This paper intends to elaborate about characteristics of eigen values, upper and lower bound of energy.
Keywords: Eigen values, energy, regular, totally regular, graceful graphs