TY - JOUR
ID - 5214
TI - Laplacian Energy of a Fuzzy Graph
JO - Iranian Journal of Mathematical Chemistry
JA - IJMC
LA - en
SN - 2228-6489
AU - RAHIMI SHARBAF, S.
AU - FAYAZI, F.
AD - University of Shahrood, I R Iran
Y1 - 2014
PY - 2014
VL - 5
IS - 1
SP - 1
EP - 10
KW - Fuzzy graph
KW - Fuzzy laplacian matrix
KW - Laplacian spectrum
KW - Laplacian energy of fuzzy graph
DO - 10.22052/ijmc.2014.5214
N2 - 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.
UR - https://ijmc.kashanu.ac.ir/article_5214.html
L1 - https://ijmc.kashanu.ac.ir/article_5214_378ccec4b73776cf30f7d0f6fbecade3.pdf
ER -