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<p>This work introduces the maximal strong product of fuzzy graphs as a modification of the strong product previously introduced by Al-Hawary [<CitationRef CitationID="CR2">2</CitationRef>]. The paper establishes new connectedness criteria and develops vertex-degree properties for this product, including sufficient conditions under which the maximal strong product of regular fuzzy graphs remains regular.</p>

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Vertex degree in maximal strong product of fuzzy graphs

  • 期刊论文

  • 发表日期：

    2026年7月20日

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  • Talal Ali Al-Hawary

摘要

This work introduces the maximal strong product of fuzzy graphs as a modification of the strong product previously introduced by Al-Hawary [2]. The paper establishes new connectedness criteria and develops vertex-degree properties for this product, including sufficient conditions under which the maximal strong product of regular fuzzy graphs remains regular.