Energy of a graph and Randic index
Combinatorics
2020-09-18 v1 Spectral Theory
Abstract
We prove that, for any graph , its graph energy is at least twice the Randic index. We show that equality holds if and only if is the union of complete bipartite graphs.
Cite
@article{arxiv.2009.08041,
title = {Energy of a graph and Randic index},
author = {Gerardo Arizmendi and Octavio Arizmendi},
journal= {arXiv preprint arXiv:2009.08041},
year = {2020}
}
Comments
7 pages