Energy of a graph and Randic index
We prove that, for any graph $G$, its graph energy is at least twice the Randic index. We show that equality holds if and only if $G$ is the union of complete bipartite graphs.
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| Format: | Artikel |
| Sprache: | eng |
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| Zusammenfassung: | We prove that, for any graph $G$, its graph energy is at least twice the
Randic index. We show that equality holds if and only if $G$ is the union of
complete bipartite graphs. |
|---|---|
| DOI: | 10.48550/arxiv.2009.08041 |