Reinforcement Number of a Graph with respect to Half-Domination

G. Muhiuddin; N. Sridharan; D. Al-Kadi; S. Amutha; M. E. Elnair

doi:10.1155/2021/6689816

Journal of Mathematics (Jan 2021)

Reinforcement Number of a Graph with respect to Half-Domination

G. Muhiuddin,
N. Sridharan,
D. Al-Kadi,
S. Amutha,
M. E. Elnair

Affiliations

G. Muhiuddin: Department of Mathematics, University of Tabuk, Tabuk 71491, Saudi Arabia
N. Sridharan: Department of Mathematics, Alagappa University, Karaikudi 630 003, India
D. Al-Kadi: Department of Mathematics and Statistics, College of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia
S. Amutha: Ramanujan Centre for Higher Mathematics, Alagappa University, Karaikudi 630 003, India
M. E. Elnair: Department of Mathematics, University of Tabuk, Tabuk 71491, Saudi Arabia

DOI: https://doi.org/10.1155/2021/6689816
Journal volume & issue: Vol. 2021

Abstract

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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.

Published in Journal of Mathematics

ISSN: 2314-4629 (Print); 2314-4785 (Online)
Publisher: Wiley
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: https://onlinelibrary.wiley.com/journal/1469

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