Hitting time, resistance distance and Kirchhoff index of Cayley graphs over dicyclic and semi-dihedral groups

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Hitting time, resistance distance and Kirchhoff index of Cayley graphs over dicyclic and semi-dihedral groups

Yang, Jing; Wu, Yongjiang; Feng, Lihua; Liu, Weijun

Applied mathematics and computation, 07/2023, Volume: 448

Journal Article

•This paper derived the closed-form formulae for the hitting time, resistance distance and Kirchhoff index of the Cayley graphs over dicyclic and semi-dihedral groups. The main tool we used involves representation theory, linear algebra, and graph theory. Many technical calculations are also involved. In this paper, using eigenvalues and eigenvectors, we derive the closed-form formulae for the hitting time, resistance distance and Kirchhoff index of the Cayley graphs over dicyclic and semi-dihedral groups.

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Yang, Jing | Wu, Yongjiang | Feng, Lihua | Liu, Weijun

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