Coulson Integral Formula for the Vertex Energy of a Graph

Preprint 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.
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