University of KashanIranian Journal of Mathematical Chemistry2228-64895120140301Laplacian Energy of a Fuzzy Graph110521410.22052/ijmc.2014.5214ENS.RAHIMI SHARBAFUniversity of Shahrood, I R IranF.FAYAZIUniversity of Shahrood, I R IranJournal Article20131222A 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.https://ijmc.kashanu.ac.ir/article_5214_378ccec4b73776cf30f7d0f6fbecade3.pdf