A Study on Domination, Independent Domination and Irredundance in Fuzzy Graph

Abstract

The domination number γ(G) of the fuzzy graph G is the minimum cardinality taken over all minimal dominating sets of G. The independent domination number i(G) is the minimum cardinality taken over all maximal independent sets of G. The irredundant number ir(G) is the minimum cardinality taken over all maximal irredundant sets of G. In this paper we prove the result that relate the parameters ir(G), γ(G) and i(G) Mathematics Subject Classification: 03E72, 05C69, 05C72