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In this paper, some theorems of edge regular fuzzy graphs are discussed with their complements and µ-complements. A necessary and sufficient condition under which they are equivalent is provided. Finally, adjacency sequence of edges in a fuzzy graph is defined. Using the sequences, characterization for a fuzzy graph with at most four vertices to be edge regular is obtained.

EDGE REGULAR PROPERTY OF COMPLEMENT AND mu-COMPLEMENT OF A FUZZY GRAPH AND EDGE ADJACENCY SEQUENCE IN FUZZY GRAPH