On ideal sumset labelled graphs

Title

On ideal sumset labelled graphs

Creator

Mathai J.P.; Naduvath S.; Sreedharan S.

Description

The sumset of two sets A and B of integers, denoted by A + B, is defined as (formula presented). Let X be a non-empty set of non-negative integers. A sumset labelling of a graph G is an injective function (Formula Presented) such that the induced function (Formula Presented) is defined by (Formula presented). In this paper, we introduce the notion of ideal sumset labelling of graph and discuss the admissibility of this labelling by certain graph classes and discuss some structural characterization of those graphs. 2021 Jincy P. Mathai, Sudev Naduvath, and Satheesh Sreedharan. This is an open access article distributed under the terms of the Creative Commons License, which permits unrestricted use and distribution provided the original author and source are credited.

Source

Proyecciones, Vol-40, No. 2

Date

2021-01-01

Publisher

Universidad Catolica del Norte

Subject

Graph labelling; Ideal sumset labelling; Set-labelling; Sumset labelling

Coverage

Mathai J.P., Muthoot Institute of Technology & Science, Dept of Mathematics, Puthencruz, KL, India; Naduvath S., CHRIST (Deemed to be University], Dept. of Mathematics, Bangalore, KA, India; Sreedharan S., Vidya Academy of Science & Technology, Dept. of Mathematics, Thrissur, KL, India

Rights

All Open Access; Gold Open Access

Relation

ISSN: 7160917

Format

Online

Language

English

Type

Article

Identifier

https://doi.org/10.22199/issn.0717-6279-2021-02-0022

https://www.scopus.com/inward/record.uri?eid=2-s2.0-85102825307&doi=10.22199%2fissn.0717-6279-2021-02-0022&partnerID=40&md5=7ab339a427c477b74e70eb017e7bf124