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A study in bipolar fuzzy graph structures. (English) Zbl 1496.05149

Summary: Bipolar fuzzy graph structures, bipolar fuzzy \(\lambda_i\)-cycles and \(\phi\)-complement of a bipolar fuzzy graph structure concepts are introduced and investigated. We also discuss in detail \(\phi\)-complement of a bipolar fuzzy graph structure along with strong self complementary and self-complementary bipolar fuzzy graph structures. We also developed some other concepts on this topic and worked to add some theorems and examples of these new concepts.

MSC:

05C72 Fractional graph theory, fuzzy graph theory
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