Nordhaus-gaddum inequalities for anti fuzzy graph
- Anti fuzzy graph (AFG), Complete Anti fuzzy graph, Self-Complementary Anti fuzzy graph, Fuzzy chromatic number, Bound of N-G inequality
The objective of this paper is to finds the lower and upper bounds of Nordhaus-Gaddum inequalities of fuzzy chromatic number for anti-fuzzy graph. This paper analyzes the chromatic index of complementary anti fuzzy graphs in some cases. A theorem is proved for anti-fuzzy graph to be k-critical. Examples are provided to derive the vertex coloring of these graphs.