EQUITABLE DOMINATION IN FUZZY GRAPHS
K. M. Dharmalingam, M. R. Rani · International Journal of Pure and Apllied Mathematics · 2014
Let G be a fuzzy graph.Let u and v be two vertices of G.A subsetdenotes the degree of vertex u and deg(v) denotes the degree of vertex v and µ(uv) ≤ σ(u) ∧ σ(v).The minimum cardinality of a fuzzy equitable dominating set is denoted by γ ef .In this paper we introduce the concept of fuzzy equitable dominating set, minimal fuzzy equitable dominating set, strong (weak) fuzzy equitable dominating set , fuzzy equitable independent set and obtain some interesting results for this new parameter in equitable fuzzy graphs.