Some domination parameters in intuitionistic fuzzy graphs

R. Rajeshkumar, A. M. Anto · AIP conference proceedings · 2022

The notion of intuitionistic fuzzy graphs has various scope in modern era. One of the significant research areas in intuitionistic fuzzy graph theory is the study of domination. In this paper we establish the notion of some domination parameters in IFG. First we establish the notion of independent dominating sets on intuitionistic fuzzy graphs and investigate some properties. Further, the independent dominating number, lower and upper independent dominating number of IFGs are defined with suitable illustrations. Later, we establish the notion of perfect arc dominating set, perfect arc dominating number, lower and upper arc dominating number. Also investigated some properties.

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