Inverse Accurate Total Domination in Fuzzy Graphs

Abstract

Let $G = (V, E)$ be a graph. Let D be a minimum accurate dominating set of G. If $V-D$ contains an accurate dominating set $D'$ of G, then $D'$ is called an fuzzy inverse accurate dominating set with respect to D. The fuzzy inverse accurate domination number $\gamma_{fa}^{-'}(G)$ of G is the minimum cardinality of an fuzzy inverse accurate dominating set of G. Let D be a minimum accurate total dominating set of G, if $V-D$ contains an accurate total dominating set $D'$ of G, then $D'$ is called an fuzzy inverse accurate total dominating set with respect to D. The fuzzy inverse accurate total dominating number $\gamma^{-'}_{fat}(G)$ of G is the minimum cardinality of an fuzzy inverse accurate total dominating set of G. In this paper we study a fuzzy inverse accurate total domination in fuzzy graphs and investigate the relationship of with other known parameters.