Coulson integral formula for the vertex energy of a graphArticle, Preprint English OPEN
Arizmendi, Octavio; Olivera, Beatriz Carely Luna; Ibáñez, Marcelino Ramírez; (2018)
- Journal: Linear Algebra and its Applications,volume 580,pages166-183 (issn: 00243795)
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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.