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Reinforcement Number of a Graph with respect to Half-Domination

Author

Listed:
  • G. Muhiuddin
  • N. Sridharan
  • D. Al-Kadi
  • S. Amutha
  • M. E. Elnair
  • Ismail Naci Cangul

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.

Suggested Citation

  • G. Muhiuddin & N. Sridharan & D. Al-Kadi & S. Amutha & M. E. Elnair & Ismail Naci Cangul, 2021. "Reinforcement Number of a Graph with respect to Half-Domination," Journal of Mathematics, Hindawi, vol. 2021, pages 1-7, April.
    • Handle: RePEc:hin:jjmath:6689816
    DOI: 10.1155/2021/6689816
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    Cited by:

    1. A. Khalid & N. Kausar & M. Munir & M. Gulistan & M. M. Al-Shamiri & T. Lamoudan, 2022. "Topological Indices of Families of Bistar and Corona Product of Graphs," Journal of Mathematics, John Wiley & Sons, vol. 2022(1).
    2. Chang Wan & Fei Deng & Shitao Li & S. Omidbakhsh Amiri & A. A. Talebi & H. Rashmanlou, 2022. "[Retracted] Novel Concepts in Bipolar Fuzzy Graphs with Applications," Journal of Mathematics, John Wiley & Sons, vol. 2022(1).
    3. Zheng Kou & Maryam Akhoundi & M. Ghassemi & A. A. Talebi & G. Muhiuddin, 2022. "Some Results in Neutrosophic Cubic Graphs with an Application in School’s Management System," Journal of Mathematics, John Wiley & Sons, vol. 2022(1).
    4. Xiaolong Shi & Saeed Kosari & N. Mehdipoor & A.A. Talebi & G. Muhiuddin, 2022. "Novel Concepts in Vague Graphs with Application in Hospital’s Management System," Journal of Mathematics, John Wiley & Sons, vol. 2022(1).
    5. Muhammad Saeed & Muhammad Imran Harl & Muhammad Haris Saeed & Ibrahim Mekawy, 2023. "Theoretical framework for a decision support system for micro-enterprise supermarket investment risk assessment using novel picture fuzzy hypersoft graph," PLOS ONE, Public Library of Science, vol. 18(3), pages 1-26, March.
    6. Peng Xu & Hao Guan & A. A. Talebi & M. Ghassemi & Hossein Rashmanlou, 2022. "Certain Concepts of Interval‐Valued Intuitionistic Fuzzy Graphs with an Application," Advances in Mathematical Physics, John Wiley & Sons, vol. 2022(1).

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