The resistance distance and the Kirchhoff index of the $k$-th semi total point graphs

نویسندگان

1 Azad University, Chaluse Branch

doi
10.22108/toc.2015.7767
چکیده

‎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 $R^k(G).$‎