Graphs of Maximal Energy with Fixed Maximal Degree

zbMATH Open1472.92274arXiv2102.13237MaRDI QIDQ5159241

Jorge Fernandez Hidalgo, Octavio Arizmendi

Publication date: 26 October 2021

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 $d$-regular we obtain the bound that is given in Van Dam, E. et al. (2014). through elementary methods.

Full work available at URL: https://arxiv.org/abs/2102.13237

Mathematics Subject Classification ID

Molecular structure (graph-theoretic methods, methods of differential topology, etc.) (92E10) Chemical graph theory (05C92)

Related Items (2)

On line graphs with maximum energy ⋮ Upper bounds on the energy of graphs in terms of matching number

This page was built for publication: Graphs of Maximal Energy with Fixed Maximal Degree