Document Zbl 1153.05310

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Nagoorgani, A.; Radha, K.

Some sequences in fuzzy graphs. (English) Zbl 1153.05310

Far East J. Appl. Math. 31, No. 3, 321-335 (2008).

Summary: A 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.

Cited in 14 Documents

MSC:

05C07	Vertex degrees
03E72	Theory of fuzzy sets, etc.

Keywords:

regular fuzzy graph; adjacency sequence; fundamental sequence; fuzzy line graph; complement of a fuzzy graph

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