Some sequences in fuzzy graphs. (English) Zbl 1153.05310

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.


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