Energy and Randic index of directed graphs

Gerardo Arizmendi; Octavio Arizmendi

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arXiv · 2106.16044

Energy and Randic index of directed graphs

Gerardo Arizmendi·Octavio Arizmendi

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Abstract

The concept of Randic index has been extended recently for a digraph. We prove that $2R(G)\leq \mathcal{E}(G)\leq 2\sqrt{\Delta(G)} R(G)$, where $G$ is a digraph, and $R(G)$ denotes the Randic index, $\mathcal{E}(G)$ denotes the Nikiforov energy and $\Delta(G) $ denotes the maximum degree of $G$. In both inequalities we describe the graphs for which the equality holds.

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BibTeX RIS

Gerardo Arizmendi, Octavio Arizmendi. 2021-06-30. Energy and Randic index of directed graphs. https://arxiv.org/abs/2106.16044

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