@article {
author = {RAHIMI SHARBAF, S. and FAYAZI, F.},
title = {Laplacian Energy of a Fuzzy Graph},
journal = {Iranian Journal of Mathematical Chemistry},
volume = {5},
number = {1},
pages = {1-10},
year = {2014},
publisher = {University of Kashan},
issn = {2228-6489},
eissn = {2008-9015},
doi = {10.22052/ijmc.2014.5214},
abstract = {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.},
keywords = {Fuzzy graph,Fuzzy laplacian matrix,Laplacian spectrum,Laplacian energy of fuzzy graph},
url = {https://ijmc.kashanu.ac.ir/article_5214.html},
eprint = {https://ijmc.kashanu.ac.ir/article_5214_378ccec4b73776cf30f7d0f6fbecade3.pdf}
}