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

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 endpoint of edge considered. In this paper, we obtain formulae for the resistance distance and Kirchhoff index of R^k (G) .

Keywords

• Resistance distance
• Kirchhoff index
• derived graph