SOME SEQUENCES IN FUZZY GRAPHS

A. Nagoorgani (India) and K. Radha (India)

Received September 23, 2007

Abstract

In this paper, regular fuzzy graph, adjacency sequence of vertices in a fuzzy graph, first fundamental sequence and second fundamental sequence of a fuzzy graph are defined. Using the sequences, characterization for a fuzzy graph with at most four vertices to be regular, the fuzzy line graph of certain regular fuzzy graph to be regular, the complement of a regular fuzzy graph to be regular and the fuzzy graph in which the underlying graph is a cycle to be regular are obtained.

Keywords and phrases: regular fuzzy graph, adjacency sequence, fundamental sequence, fuzzy line graph, complement of a fuzzy graph.