Reinforcement Number of a Graph with respect to Half-Domination

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.

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Main Authors: G. Muhiuddin, N. Sridharan, D. Al-Kadi, S. Amutha, M. E. Elnair
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2021/6689816
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author G. Muhiuddin
N. Sridharan
D. Al-Kadi
S. Amutha
M. E. Elnair
author_facet G. Muhiuddin
N. Sridharan
D. Al-Kadi
S. Amutha
M. E. Elnair
author_sort G. Muhiuddin
collection DOAJ
description 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.
format Article
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institution Kabale University
issn 2314-4629
2314-4785
language English
publishDate 2021-01-01
publisher Wiley
record_format Article
series Journal of Mathematics
spelling doaj-art-6fc518d8f1dd4cd59ffba6f2d691b8a72025-02-03T01:28:27ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/66898166689816Reinforcement Number of a Graph with respect to Half-DominationG. Muhiuddin0N. Sridharan1D. Al-Kadi2S. Amutha3M. E. Elnair4Department of Mathematics, University of Tabuk, Tabuk 71491, Saudi ArabiaDepartment of Mathematics, Alagappa University, Karaikudi 630 003, IndiaDepartment of Mathematics and Statistics, College of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi ArabiaRamanujan Centre for Higher Mathematics, Alagappa University, Karaikudi 630 003, IndiaDepartment of Mathematics, University of Tabuk, Tabuk 71491, Saudi ArabiaIn 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.http://dx.doi.org/10.1155/2021/6689816
spellingShingle G. Muhiuddin
N. Sridharan
D. Al-Kadi
S. Amutha
M. E. Elnair
Reinforcement Number of a Graph with respect to Half-Domination
Journal of Mathematics
title Reinforcement Number of a Graph with respect to Half-Domination
title_full Reinforcement Number of a Graph with respect to Half-Domination
title_fullStr Reinforcement Number of a Graph with respect to Half-Domination
title_full_unstemmed Reinforcement Number of a Graph with respect to Half-Domination
title_short Reinforcement Number of a Graph with respect to Half-Domination
title_sort reinforcement number of a graph with respect to half domination
url http://dx.doi.org/10.1155/2021/6689816
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AT nsridharan reinforcementnumberofagraphwithrespecttohalfdomination
AT dalkadi reinforcementnumberofagraphwithrespecttohalfdomination
AT samutha reinforcementnumberofagraphwithrespecttohalfdomination
AT meelnair reinforcementnumberofagraphwithrespecttohalfdomination