Affiliations: [a] Department of Mathematics, Maharaja’s Technological Institute, Thrissur, Kerala, India
| [b] Department of Mathematics, St. Mary’s College, Thrissur, Kerala, India
Correspondence:
[*]
Corresponding author. K.S. Parvathy, Department of Mathematics, St. Mary’s College, Thrissur, Kerala, India.
[email protected]
Abstract: Let G = (V, μ, σ) be a fuzzy graph on a finite set V. A fuzzy subset μ′ of μ is called a fuzzy dominating set of G if,
μ′(v)+∑x∈V(σ(x,v)∧μ′(x))≥μ(v)foreveryv∈V.
Fuzzy domination number γfz is defined accordingly. In this paper we initiate a study of this parameter. Some properties of fuzzy dominating sets are studied and fuzzy domination number γfz is determined for some graphs.
Keywords: Fuzzy Graph, Fuzzy Dominating Sets, Fuzzy Domination Number
