Coulson Integral Formula for the Vertex Energy of a Graph

Beatriz Carely Luna Olivera; Marcelino Ram\'irez Ib\'a\~nez; Octavio Arizmendi

arxiv: 1809.07833 · v1 · pith:43YZLUCFnew · submitted 2018-09-20 · 🧮 math.SP · math.CO

Coulson Integral Formula for the Vertex Energy of a Graph

Octavio Arizmendi , Beatriz Carely Luna Olivera , Marcelino Ram\'irez Ib\'a\~nez This is my paper

classification 🧮 math.SP math.CO

keywords formulacoulsonenergygraphintegralvertexapplicationsarizmendi

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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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Coulson Integral Formula for the Vertex Energy of a Graph

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