TOPOLOGICAL INVARIANTS OF GENERALIZED SPLITTING GRAPHS AND k-SHADOW GRAPHS

Title

TOPOLOGICAL INVARIANTS OF GENERALIZED SPLITTING GRAPHS AND k-SHADOW GRAPHS

Creator

Joseph J.; Dominic C.

Description

A topological index or an invariant can be defined as a function from a set of graphs to the real line. Topological indices are invariant under graph isomor- phism. This paper deals with the general expressions for various topological indices of two derived graphs called generalized splitting graphs and k-shadow graphs. In particular this manuscript discuss about the first Zagreb index, second Zagreb in- dex, F-index, hyper-Zagreb index, symmetric division degree index, first and the second multiplicative Zagreb indices and a lower bound for the irregularity index of generalized splitting graphs and k-shadow graphs. 2022 Yarmouk University. All rights reserved.

Source

Jordan Journal of Mathematics and Statistics, Vol-15, No. 0.125, pp. 559-574.

Date

2022-01-01

Publisher

Yarmouk University

Subject

k-shadow graph; splitting graph; Topological invariants

Coverage

Joseph J., Department of Mathematics, CHRIST (Deemed to be University), Bangalore, India; Dominic C., Department of Mathematics, CHRIST (Deemed to be University), Bangalore, India

Rights

Restricted Access

Relation

ISSN: 20757905

Format

Online

Language

English

Type

Article

Identifier

https://doi.org/10.47013/15.3.11

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