SOME RESULTS ON INJECTIVE CHROMATICS TOPOLOGICAL INDICES OF SOME GRAPHS

Title

SOME RESULTS ON INJECTIVE CHROMATICS TOPOLOGICAL INDICES OF SOME GRAPHS

Creator

Rose S.; Naduvath S.

Description

Graph coloring is an assignment of colors, labels or weights to the elements of graphs subject to certain conditions. Coloring the vertices of a graph G such that adjacent vertices possessing different colors is the notion of proper coloring. A proper coloring C of a graph G is called an injective coloring of G if any two vertices of G having the same neighbouring vertex have different colors in C. As a coloring analogue to Zagreb indices and irregularity indices in the literature, chromatic Zagreb and irregularity indices have been introduced very recently. In this paper, we introduce the notion of injective chromatic Zagreb indices and injective chromatic irregularity indices and determine these indices for some standard classes of graphs. 2019, RAMANUJAN SOCIETY OF MATHEMATICS AND MATHEMATICAL SCIENCES. All rights reserved.

Source

South East Asian Journal of Mathematics and Mathematical Sciences, Vol-15, No. 3, pp. 115-128.

Date

2019-01-01

Publisher

RAMANUJAN SOCIETY OF MATHEMATICS AND MATHEMATICAL SCIENCES

Subject

Chromatic Zagreb indices; injective Chromatic Zagreb indices; injective irregularity indices; irregularity indices

Coverage

Rose S., Department of Mathematics, CHRIST (Deemed to be University), Karnataka, Bengaluru, 560029, India; Naduvath S., Department of Mathematics, CHRIST (Deemed to be University), Karnataka, Bengaluru, 560029, India

Rights

Restricted Access

Relation

ISSN: 9727752

Format

Online

Language

English

Type

Article

Identifier

https://www.scopus.com/inward/record.uri?eid=2-s2.0-85153709098&partnerID=40&md5=13af7bc97d19bc73fdb6178153b2dac0