Graphs of Maximal Energy with Fixed Maximal Degree
Combinatorics
2021-03-01 v1 Spectral Theory
Abstract
We give a bound for the graph energy with given maximal degree in terms of the second and fourth moments of a graph. In the case in which the graph is -regular we obtain the bound that is given in Van Dam, E. et al. (2014). through elementary methods.
Cite
@article{arxiv.2102.13237,
title = {Graphs of Maximal Energy with Fixed Maximal Degree},
author = {Octavio Arizmendi and Jorge Fernandez Hidalgo},
journal= {arXiv preprint arXiv:2102.13237},
year = {2021}
}
Comments
Revised version of Arizmendi, O., & Hidalgo, J. F. (2020)