COMPUTATION OF b-CHROMATIC TOPOLOGICAL INDICES OF SOME GRAPHS AND ITS DERIVED GRAPHS

Title

COMPUTATION OF b-CHROMATIC TOPOLOGICAL INDICES OF SOME GRAPHS AND ITS DERIVED GRAPHS

Creator

Glory C.; Nanjappa M.

Description

The two fastest-growing subfields of graph theory are graph coloring and topological indices. Graph coloring is assigning the colors/values to the edges/vertices or both. A proper coloring of the graph G is assigning colors/values to the vertices/edges or both so that no two adjacent vertices/edges share the same color/value. Recently, studies involving Chromatic Topological indices that dealt with different graph coloring were studied. In such studies, the vertex degrees get replaced with the colors, and the computation is carried out based on the topological index of our choice. We focus on b-Chromatic Zagreb indices and b-Chromatic irregularity indices in this work. This paper discusses the b-Chromatic Zagreb indices and b-Chromatic irregularity indices of the gear graph, star graph, and its derived graphs such as the line and middle graph. 2023, RAMANUJAN SOCIETY OF MATHEMATICS AND MATHEMATICAL SCIENCES. All rights reserved.

Source

South East Asian Journal of Mathematics and Mathematical Sciences, Vol-19, No. 2, pp. 241-260.

Date

2023-01-01

Publisher

RAMANUJAN SOCIETY OF MATHEMATICS AND MATHEMATICAL SCIENCES

Subject

b-Chromatic irregularity index; b-Chromatic total irregularity index; b-Chromatic Zagreb indices; b-coloring

Coverage

Glory C., Department of Mathematics, CHRIST (Deemed to be University), Karnataka, Bangalore, 560029, India; Nanjappa M., School of Engineering and Technology, CHRIST(Deemed to be University), Karnataka, Bangalore, 560074, India

Rights

All Open Access; Bronze Open Access

Relation

ISSN: 9727752

Format

Online

Language

English

Type

Article

Identifier

https://doi.org/10.56827/SEAJMMS.2023.1902.18

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