Bounds for fuzzy Zagreb Estrada index

Document Type : Original paper

Authors

1 NMIMS Deemed tobe University, Mumbai.

2 NMIMS Deemed to University

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.

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References

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Communications in Combinatorics and Optimization
Volume 8, Issue 1
March 2023
Pages 153-160

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