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All Journal International Journal of Computing Science and Applied Mathematics
Hajar Shooshtary
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Computer Science & IT Education Mathematics

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Nano-Zagreb Index and Multiplicative Nano-Zagreb Index of Some Graph Operations Akbar Jahanbani; Hajar Shooshtary
(IJCSAM) International Journal of Computing Science and Applied Mathematics Vol 5, No 1 (2019)
Publisher : Institut Teknologi Sepuluh Nopember

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (97.924 KB) | DOI: 10.12962/j24775401.v5i1.4659

Abstract

Let G be a graph with vertex set V(G) and edge set E(G). The Nano-Zagreb and multiplicative Nano-Zagreb indices of G are NZ(G) = \prod_{uv \in E(G)} (d^2(u) - d^2(v)) and N*Z(G) = \prod_{uv \in E(G)} (d^2(u) - d^2(v)), respectively, where d(v) is the degree of the vertex v. In this paper, we define two types of Zagreb indices based on degrees of vertices. Also the Nano-Zagreb index and multiplicative Nano-Zagreb index of the Cartesian product, symmetric difference, composition and disjunction of graphs are computed.
Co-Authors Akbar Jahanbani