%0 Journal Article
%T Laplacian Energy of a Fuzzy Graph
%J Iranian Journal of Mathematical Chemistry
%I University of Kashan
%Z 2228-6489
%A RAHIMI SHARBAF, S.
%A FAYAZI, F.
%D 2014
%\ 03/01/2014
%V 5
%N 1
%P 1-10
%! Laplacian Energy of a Fuzzy Graph
%K Fuzzy graph
%K Fuzzy laplacian matrix
%K Laplacian spectrum
%K Laplacian energy of fuzzy graph
%R 10.22052/ijmc.2014.5214
%X A concept related to the spectrum of a graph is that of energy. The energy E(G) of a graph G is equal to the sum of the absolute values of the eigenvalues of the adjacency matrix of G . The Laplacian energy of a graph G is equal to the sum of distances of the Laplacian eigenvalues of G and the average degree d(G) of G. In this paper we introduce the concept of Laplacian energy of fuzzy graphs. Let G be a fuzzy graph with n vertices and m edges. The Laplacian spectrum of fuzzy graph G is defined. The Laplacian energy of G has been recently defined . Section 2 consists of preliminaries and definition of Laplacian energy of a fuzzy graph and in Section 3, we present some results on Laplacian energy of a fuzzy graph. Some bounds o Laplacian energy of fuzzy graphs are also given.
%U https://ijmc.kashanu.ac.ir/article_5214_378ccec4b73776cf30f7d0f6fbecade3.pdf