Reinforcement Number of a Graph with respect to Half-Domination-Reference-Cited by-同舟云学术

Reinforcement Number of a Graph with respect to Half-Domination

Published:2021-04-14 Issue: Volume:2021 Page:1-7
ISSN:2314-4785
Container-title:Journal of Mathematics
language:en
Short-container-title:Journal of Mathematics

Author:

Muhiuddin G.¹^ORCID,Sridharan N.²,Al-Kadi D.³,Amutha S.⁴^ORCID,Elnair M. E.¹⁵

Affiliation:

1. Department of Mathematics, University of Tabuk, Tabuk 71491, Saudi Arabia

2. Department of Mathematics, Alagappa University, Karaikudi 630 003, India

3. Department of Mathematics and Statistics, College of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia

4. Ramanujan Centre for Higher Mathematics, Alagappa University, Karaikudi 630 003, India

5. Department of Mathematics and Physics, Faculty of Education, Hasahesa, Gezira University, Sudan

Abstract

In this paper, we introduce the concept of reinforcement number with respect to half-domination and initiate a study on this parameter. Furthermore, we obtain various upper bounds for this parameter. AMS subject classification: 05C38, 05C40, 05C69.

Funder

Taif University

Publisher

Hindawi Limited

Subject

General Mathematics

Link

http://downloads.hindawi.com/journals/jmath/2021/6689816.pdf

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4. Total Roman domination number of trees,” Australas;J. Amjadi;Journal of Combinations,2017

5. Induced subgraphs of gamma graphs;N. Sridharan;Journal of Discrete Mathematical Sciences and Cryptography,2013

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