Bound for the energy of graphs in terms of degrees and leaves

Octavio Arizmendi; Samuel Gurrola-Viramontes

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arXiv · 2502.01065

Bound for the energy of graphs in terms of degrees and leaves

Octavio Arizmendi·Samuel Gurrola-Viramontes

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Abstract

We provide a new upper bound for the energy of graphs in terms of degrees and number of leaves. We apply this formula to study the energy of Erdös-Rényi graphs and Barabasi-Albert trees.

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Octavio Arizmendi, Samuel Gurrola-Viramontes. 2025-02-03. Bound for the energy of graphs in terms of degrees and leaves. https://arxiv.org/abs/2502.01065

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