Resistance Distances and Kirchhoff Index of A Type of Graph Operation on Cycles
Let Kr(Cn)be the graph obtained from the cycle Cn(n≥3)by replacing each edge of Cn with a com-plete graph Kr(n≥2).In this paper,by applying the series and parallel principles,the star-mesh transformation and cut-vertex property,the expressions are given for resistance distances and Kirchhoff index of Kr(Cn),generali-zing the previous works by Sardar et al.
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