MMN-781
Further results regarding the degree Kirchhoff index of graphs
Abstract
Let $G$ be a connected graph with vertex set $V(G)$. The degree
Kirchhoff index of $G$ is defined as $S'(G) = \sum_{\{u, v\}}
\subseteq V(G)} d(u)d(v) R(u,v)$, where $d(u)$ is the degree of
vertex $u$, and $R(u,v)$ denotes the resistance distance between
vertices $u$ and $v$. In this paper we obtain some upper and lower
bounds for the degree Kirchhoff index of graphs. We also obtain
some bounds for the Nordhaus-Gaddum-type result for the degree
Kirchhoff index.
Vol. 15 (2014), No. 1, pp. 97-108