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arXiv · 1811.08776

Short note on Randić energy

Luiz Emilio Allem·Gonzalo Molina·Adrián Pastine
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Abstract

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 \cite{Gutman1} about the maximal RE. For example, we show that starlikes of odd order satisfy the conjecture.

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Luiz Emilio Allem, Gonzalo Molina, Adrián Pastine. 2018-11-21. Short note on Randić energy. https://arxiv.org/abs/1811.08776

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