arXiv subjects

Jorge Fernandez Hidalgo

Publications and source records attributed to Jorge Fernandez Hidalgo.

2 recordsLinked to original sources

arXiv2021

Graphs of Maximal Energy with Fixed Maximal Degree

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.

math.CO↗

arXiv2018

Energy of a Vertex

In this paper we develop the concept of energy of a vertex introduced in Arizmendi and Juarez-Romero (2016). We derive basic inequalities, continuity properties, give examples and extend the definition to locally finite graphs.

math.CO↗