Abstract

‎The $k$-th semi-total point graph $R^k(G)$ of a graph $G$‎, ‎is a graph obtained from $G$ by adding $k$ vertices corresponding to each edge and connecting them to the endpoints of the edge considered‎. ‎In this paper‎, ‎we obtain formulas for the resistance distance and Kirchhoff index of $R^k(G).$‎

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