@article {IOPORT.05251560, author = {Hou, Yaoping and Tang, Zheng and Woo, Chingwah}, title = {On the spectral radius, $k$-degree and the upper bound of energy in a graph.}, year = {2007}, journal = {MATCH - Communications in Mathematical and in Computer Chemistry}, volume = {57}, number = {2}, issn = {0340-6253}, pages = {341-350}, publisher = {University of Kragujevac \& Faculty of Science Kragujevac, Kragujevac}, abstract = {Let $G$ be a simple graph and let $V(G)$ be its vertex set. For $v\in V(G)$, $k$-degree $d_k(v)$ of $v$ is the number of walks of length $k$ of $G$ starting at $v$. A lower bound of the spectral radius of $G$ in terms of the $k$-degree of vertices is presented and the upper bounds of energy of a connected graph is obtained.}, reviewer = {Mirko Lepovi\'c (Kragujevac)}, identifier = {05251560}, }