@article {
author = {Hakimi-Nezhaad, Mardjan and Ashrafi, Ali Reza and Gutman, Ivan},
title = {Note on degree Kirchhoff index of graphs},
journal = {Transactions on Combinatorics},
volume = {2},
number = {3},
pages = {43-52},
year = {2013},
publisher = {University of Isfahan},
issn = {2251-8657},
eissn = {2251-8665},
doi = {10.22108/toc.2013.3288},
abstract = {The degree Kirchhoff index of a connected graph $G$ is defined as the sum of the terms $d_i\,d_j\,r_{ij}$ over all pairs of vertices, where $d_i$ is the degree of the $i$-th vertex, and $r_{ij}$ 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.},
keywords = {resistance distance (in graphs),Kirchhoff index,degree Kirchhoff index,spectrum of graph,Laplacian spectrum of graph},
url = {https://toc.ui.ac.ir/article_3288.html},
eprint = {https://toc.ui.ac.ir/article_3288_800dfa2ece27e5c09dd0f21f014c8dc9.pdf}
}