Title of article :
Bounds for fuzzy Zagreb Estrada index
Author/Authors :
Kale, Mahesh Department of Basic Sciences and Humanities MPSTME - SVKM's NMIMS Deemed to be University Mumbai, India , Minirani, S Department of Basic Sciences and Humanities MPSTME - SVKM's NMIMS Deemed to be University Mumbai, India
Abstract :
Let G(V,σ,μ) be a fuzzy graph of order n, where σ(u) is the vertex membership, μ(u,v) is membership value of an edge and μ(u) is the strength of vertex. The first fuzzy Zagreb index is the sum σ(ui)μ(ui)+σ(uj)μ(uj) where uiuj∈μ and the corresponding fuzzy Zagreb matrix is the square matrix of order n whose (i,j)th entry whenever i≠j, is σ(ui)μ(ui)+σ(uj)μ(uj) and zero otherwise. In this paper, we introduce the Zagreb Estrada index of fuzzy graphs and establish some bounds for it.
Keywords :
Fuzzy graphs , fuzzy Zagreb indices , fuzzy Zagreb Matrices , fuzzy Zagreb energies , fuzzy Zagreb Estrada index
Journal title :
Communications in Combinatorics and Optimization
