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2024 | OriginalPaper | Chapter

Multiplicative Sum Nano Zagreb Index of Various 2-Power Corona Graphs

Authors : Rinurwati, M. C. Fansury, A. H. G. K. Saefulloh, T. I. Haryadi

Published in: Applied and Computational Mathematics

Publisher: Springer Nature Singapore

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Abstract

For a simple and connected graph \(G\) with edge set \(E_{G} ,\) the multiplicative sum nano Zagreb index of \(G\) is \(\chi N*Z\left( G \right) = \mathop \prod \nolimits_{{uv \in E_{G} }} \left( {d^{2} \left( u \right) - d^{2} \left( v \right)} \right)^{\frac{1}{2}}\) with \({ }d\left( u \right){ }\) and \(d\left( v \right)\) are the degree of vertices \({\text{uu}}\) and \(v\) in \(G\) respectively. In this paper, this multiplicative sum nano Zagreb index of the \(G\) graph is introduced. Other than that some new graph operations are defined, those are 2-Power Corona and 2-Power Edge Corona graphs. The index for the 2-Power Corona and 2-Power Edge Corona graphs is determined and analyzed further.

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previous chapter The Wiener Index, the Harmonic Index, and the Graph Representation of the Prime Ideal Graph for the Integers Modulo Rings with Prime Power Order
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Metadata
Title
Multiplicative Sum Nano Zagreb Index of Various 2-Power Corona Graphs
Authors
Rinurwati
M. C. Fansury
A. H. G. K. Saefulloh
T. I. Haryadi
Copyright Year
2024
Publisher
Springer Nature Singapore
Book
Applied and Computational Mathematics

Print ISBN: 978-981-9721-35-1

Electronic ISBN: 978-981-9721-36-8

Copyright Year: 2024

DOI
https://doi.org/10.1007/978-981-97-2136-8_29

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