• ON EDGE REGULAR FUZZY GRAPHS

K. Radha, N. Kumaravel*

Abstract


In this paper, totally edge regular fuzzy graphs, partially edge regular fuzzy graphs and full edge regular fuzzy graphs are introduced. Edge regular fuzzy graphs and totally edge regular fuzzy graphs are compared through various examples and various properties between degree and edge degree are provided. A necessary and sufficient condition under which they are equivalent is provided. Some properties of edge regular fuzzy graphs are studied and they are examined for totally edge regular fuzzy graphs.


Keywords


Degree of a vertex, degree of an edge, edge regular fuzzy graph, totally edge regular fuzzy graph, total degree of an edge, totally edge regular fuzzy graph.

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