Note on degree kirchhoff index of graphs

چکیده مقاله

The degree Kirchhoff index of a connected graph G is defined as the sum of the terms di dj rij over all pairs of vertices, where di is the degree of the i-th vertex, and rij the resistance distance between the i-th and j -th vertex of G. Bounds for the degree Kirchhoff index of the line and para-line graphs are determined. The special case of regular graphs is analyzed