Sum signed graphs - I

Title

Sum signed graphs - I

Creator

Ranjith A.P.; Kureethara J.V.

Description

Let G=(V,E) be a simple graph, f: V(G) ? {1, 2, ..., |V(G)|} be a bijective function and ?: E(G) ? {+,-} be a mapping such that ? (uv)=+, whenever f(u)+f(v) ? n and ? (uv)=-, whenever f(u)+f(v)>n. Then, S=(G,f,?) is said to be a sum signed graph. In this paper, we initiate the study of sum signed graphs. Also, we find rna number for some classes of graphs and present some of the characteristics of sum signed graphs. 2020 Author(s).

Source

AIP Conference Proceedings, Vol-2261

Date

2020-01-01

Publisher

American Institute of Physics Inc.

Coverage

Ranjith A.P., Christ University, Department of Mathematics, Bangalore, India; Kureethara J.V., Christ University, Department of Mathematics, Bangalore, India

Rights

Restricted Access

Relation

ISSN: 0094243X; ISBN: 978-073542021-2

Format

Online

Language

English

Type

Conference paper

Identifier

https://doi.org/10.1063/5.0019053

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