Resistance Distance and Kirchhoff Index of Cayley Graphs on Generalized Quaternion Groups.

Based on irreducible representations of generalized quaternion groups, closed‐form formulae of Kirchhoff indices and resistance distances between vertex pairs of Cayley graphs on these groups are given. Closed‐form formulae of Kirchhoff indices and resistance distances between vertex pairs of Cayley graphs on quaternion groups are given by using its irreducible representations. [ABSTRACT FROM AUTHOR]