Coset component signed graph of a group

Title

Coset component signed graph of a group

Creator

Amreen J.; Naduvath S.

Description

In this paper, the notion of a newly derived signed graph called a coset component graph, based on cosets of subgroups of a group is introduced. Let G be a group and H be its subgroup. Then, the coset component graph of H in G, denoted by ?cc, is a simple graph with the vertex set consisting of elements of G and two vertices say, a, b ? ?cc are adjacent if either aH = bH or Ha = Hb. A coset component signed graph of H in G is a signed graph whose edges get the sign in accordance with their inclusion in the edge set of the corresponding coset component graph. The structure and important properties of the coset component signed graphs are determined in this paper. 2024 World Scientific Publishing Company.

Source

Discrete Mathematics, Algorithms and Applications, Vol-16, No. 3

Date

2024-01-01

Publisher

World Scientific

Subject

Algebraic graph; coset component graph; coset component signed graph

Coverage

Amreen J., Department of Mathematics, CHRIST (Deemed to be University), Karnataka, Bangalore, 560029, India; Naduvath S., Department of Mathematics, CHRIST (Deemed to be University), Karnataka, Bangalore, 560029, India

Rights

Restricted Access

Relation

ISSN: 17938309

Format

Online

Language

English

Type

Article

Identifier

https://doi.org/10.1142/S1793830923500313

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