Short note on Randić energy
arXiv:1811.08776
Abstract
In this paper, we consider the Randić energy of simple connected graphs. We provide upper bounds for in terms of the number of vertices and the nullity of the graph. We present families of graphs that satisfy the Conjecture proposed by Gutman, Furtula and Bozkurt \cite{Gutman1} about the maximal RE. For example, we show that starlikes of odd order satisfy the conjecture.
14 pages