S-Index of Different Graph Operations | Zendy

S. Nagarajan | Zendy; G. Kayalvizhi | Zendy; G. Priyadharsini | Zendy

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S-Index of Different Graph Operations

Author(s) -

S. Nagarajan,

G. Kayalvizhi,

G. Priyadharsini

Publication year - 2021

Publication title -

asian research journal of mathematics

Language(s) - English

Resource type - Journals

ISSN - 2456-477X

DOI - 10.9734/arjom/2021/v17i1230347

Subject(s) - cartesian product , join (topology) , subdivision , graph , vertex (graph theory) , combinatorics , mathematics , lattice graph , index (typography) , tensor product , product (mathematics) , discrete mathematics , computer science , line graph , pure mathematics , geography , geometry , voltage graph , archaeology , world wide web

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.

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