## Coulson integral formula for the vertex energy of a graph

*Arizmendi, Octavio*;

*Olivera, Beatriz Carely Luna*;

*Ibáñez, Marcelino Ramírez*;

- Journal: Linear Algebra and its Applications,volume 580,pages166-183 (issn: 00243795)
Related identifiers: - Subject: Mathematics - Combinatorics | Mathematics - Spectral Theoryarxiv: 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.

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