Coulson Integral Formula for the Vertex Energy of a GraphPreprint English OPEN
Arizmendi, Octavio; Olivera, Beatriz Carely Luna; Ibáñez, Marcelino Ramírez; (2018)
Subject: Mathematics - Combinatorics | Mathematics - Spectral Theory
arxiv: Computer Science::Databases
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.