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On irregular fuzzy graphs. (English) Zbl 1248.05165

Summary: In this paper, neighbourly irregular fuzzy graphs, neighbourly total irregular fuzzy graphs, highly irregular fuzzy graphs and highly total irregular fuzzy graphs are introduced. A necessary and sufficient condition under which neighbourly irregular and highly irregular fuzzy graphs are equivalent is provided. Some results on neighbourly irregular fuzzy graphs are established.

MSC:

05C72 Fractional graph theory, fuzzy graph theory
05C07 Vertex degrees
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