| Title of paper:
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Bondage and non-bondage sets in regular intuitionistic fuzzy graphs
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| Author(s):
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| R. Buvaneswari
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| Department of Mathematics, Sri Krishna Arts and Science College, Coimbatore – 641 008, Tamilnadu, India
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| buvanaamohan@gmail.com
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| K. Umamaheswari
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| Department of Mathematics, Sri Krishna Arts and Science College, Coimbatore – 641 008, Tamilnadu, India
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| ragavumahesh@gmail.com
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| Published in:
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Notes on Intuitionistic Fuzzy Sets, Volume 29 (2023), Number 3, pages 318–324
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| DOI:
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https://doi.org/10.7546/nifs.2023.29.3.318-324
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| Download:
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 PDF (256 Kb, Info)
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| Abstract:
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The concept of strong edges in domination set and its properties are discussed. The increasing or reducing domination numbers using cardinality are also studied. Bondage [math]\displaystyle{ (\alpha(G)) }[/math] and non-bondage [math]\displaystyle{ (\alpha_K(G)) }[/math] sets are defined in regular intuitionistic fuzzy graph. The properties of bondage and non-bondage number of intuitionistic fuzzy graph analyzed. A minimum 2-bondage set [math]\displaystyle{ X }[/math] of an intuitionistic fuzzy graph (IFG) [math]\displaystyle{ G }[/math] is a bondage set of regular intuitionistic fuzzy graph in [math]\displaystyle{ G }[/math].
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| Keywords:
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Intuitionistic fuzzy graph (IFG), Regular IFG, Strong edge, Bondage [math]\displaystyle{ (\alpha(G)) }[/math], Non-bondage [math]\displaystyle{ (\alpha_K(G)) }[/math], Domination numbers, Cardinality of domination sets.
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| AMS Classification:
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03E72, 05C07, 05C69.
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| References:
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| Citations:
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