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Let \(\widetilde {G}\) be a fuzzy graph and \(A(\widetilde {G})\) be its adjacency matrix. The eigenvalues of \(A(\widetilde {G})\) are called eigenvalues of \(\widetilde {G}\) . The spectrum (Narayanan and Mathew, Ann Fuzzy Math Inform 6(3):455–465, 2013) of \(A(\widetilde {G})\) is called the spectrum of \(\widetilde {G}\) , denoted by \(Spec\widetilde {G}\) . The sum of the absolute values of eigenvalues of \(\widetilde {G}\) is considered as Energy (Narayanan and Mathew, Ann Fuzzy Math Inform 6(3):455–465, 2013) of \(\widetilde {G}\) . In this paper, Connectedness and Distance energy of Hamacher d-fuzzy graphs are obtained.

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Connectedness and Distance Energy of Hamacher d-Fuzzy Graphs

  • 会议论文

  • 发表日期：

    2025年

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  • S. Lavanya,
  • A. Sajiya Merlin Mahizl,
  • J. Jeba Jesintha,
  • R. Yogitha

摘要

Let \(\widetilde {G}\) be a fuzzy graph and \(A(\widetilde {G})\) be its adjacency matrix. The eigenvalues of \(A(\widetilde {G})\) are called eigenvalues of \(\widetilde {G}\) . The spectrum (Narayanan and Mathew, Ann Fuzzy Math Inform 6(3):455–465, 2013) of \(A(\widetilde {G})\) is called the spectrum of \(\widetilde {G}\) , denoted by \(Spec\widetilde {G}\) . The sum of the absolute values of eigenvalues of \(\widetilde {G}\) is considered as Energy (Narayanan and Mathew, Ann Fuzzy Math Inform 6(3):455–465, 2013) of \(\widetilde {G}\) . In this paper, Connectedness and Distance energy of Hamacher d-fuzzy graphs are obtained.