Graphs of Maximal Energy with Fixed Maximal Degree
arXiv:2102.13237
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.
Revised version of Arizmendi, O., & Hidalgo, J. F. (2020)