Coulson Integral Formula for the Vertex Energy of a Graph
Spectral Theory
2018-09-24 v1 Combinatorics
Abstract
In this note we prove that the vertex energy of a graph, as defined in Arizmendi and Juarez (2018), can be calculated in terms of a Coulson integral formula. We present examples of how this formula can be used, and we show some applications to bipartite graphs.
Cite
@article{arxiv.1809.07833,
title = {Coulson Integral Formula for the Vertex Energy of a Graph},
author = {Octavio Arizmendi and Beatriz Carely Luna Olivera and Marcelino Ramírez Ibáñez},
journal= {arXiv preprint arXiv:1809.07833},
year = {2018}
}
Comments
14 pages, 5 figures