laplacian energy of a fuzzy graph

نویسندگان

f fayazi

s rahimi sharbaf

چکیده

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.

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عنوان ژورنال:
iranian journal of mathematical chemistry

ناشر: university of kashan

ISSN 2228-6489

دوره 5

شماره 1 2014

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