2018/11/21 by Allem, Luiz Emilio, Molina, Gonzalo, Pastine, Adrián
#Combinatorics (math.CO) #FOS: Mathematics
paper · doi:10.48550/arxiv.1811.08776
In this paper, we consider the Randić energy RE of simple connected graphs. We provide upper bounds for RE 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 \citeGutman1 about the maximal RE. For example, we show that starlikes of odd order satisfy the conjecture.