Some results on b-chromatic topological indices of some graphs

Title

Some results on b-chromatic topological indices of some graphs

Creator

Glory C.; Manjunath N.

Description

Graph coloring is assigning weights, integers, or colors to edges, vertices, or both in a graph subject to certain conditions. Proper coloring C of graph G refers to assigning weights, integers, or colors to the vertices, edges, or both so that adjacent vertices or adjacent edges get a different color. A b-coloring follows proper vertex coloring with subject to an additional property that each color class should have at least one vertex with a neighbor in all the other color classes. The notion of Chromatic Zagreb index and irregularity index was introduced recently. This paper introduces the concept of b-Chromatic Zagreb indices and b-Chromatic irregularity indices. Also, we compute these indices for certain standard classes of graphs. 2023 Author(s).

Source

AIP Conference Proceedings, Vol-2852, No. 1

Date

2023-01-01

Publisher

American Institute of Physics Inc.

Coverage

Glory C., Department of Mathematics, CHRIST (Deemed to Be University), Karnataka, Bengaluru, 560029, India; Manjunath N., Department of Mathematics, CHRIST (Deemed to Be University), Karnataka, Bengaluru, 560029, India

Rights

Restricted Access

Relation

ISSN: 0094243X

Format

Online

Language

English

Type

Conference paper

Identifier

https://doi.org/10.1063/5.0164631

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