THE DEGREE OF AN EDGE IN SUBDIVISION, MIDDLE AND TOTAL FUZZY GRAPHS WITH THEIR EDGE REGULAR PROPERTIES

K. Radha; N. Kumaravel

Volume : V, Issue : IX, September - 2016

THE DEGREE OF AN EDGE IN SUBDIVISION, MIDDLE AND TOTAL FUZZY GRAPHS WITH THEIR EDGE REGULAR PROPERTIES

K. Radha, N. Kumaravel

Abstract :

In this paper, the degree of an edge in subdivision, middle and total fuzzy graphs are obtained. In general subdivision and total fuzzy graphs of an edge regular fuzzy graph need not be edge regular. Conditions under which they are edge regular are provided. A necessary and sufficient condition for subdivision fuzzy graph of a regular fuzzy graph to be edge regular is determined.