Author/Authors :
حكيمي نژاد، مرجان نويسنده Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Kashan, Kashan 87317{51167, I. R. Iran Hakimi-Nezhaad, Mardjan , اشرفي، علي رضا نويسنده Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Kashan, Kashan 87317-51167, I. R. Iran Ashrafi, Ali Reza , گوتمن، ايوان نويسنده Gutman, Ivan
Abstract :
The degree Kirchho index of a connected graph G is de ned 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 Kirchho index of the line and para-line
graphs are determined. The special case of regular graphs is analyzed.
