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Research Article Open access CC BY 4.0

S-Index of Different Graph Operations

S. Nagarajan, G. Kayalvizhi, G. Priyadharsini

Asian Research Journal of Mathematics · pp. 43–52 · Published 24 Dec 2021

10.9734/arjom/2021/v17i1230347

Abstract

In this paper, we introduced new index from the Zagreb index family, named as -index is defined as the sum of degree five of all the vertices of a graph. We derive the -index of some different graph operations such that Join, Cartesian product, Composition, Corona product, Tensor Product, Strong product, Disjunction, Symmetric difference, Corona join product, Subdivision vertex join are obtained.

Zagreb indices f-index s-index graph operations

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