1 citations · 1 across the 8 of their papers we have counts for
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On the -Schatten Energy of Bipartite Graphs
Octavio Arizmendi, José Guerrero
We give a Coulson integral formula and a Coulson-Jacobs formula for the -Schatten energy. We use this formulas to compare the -Schatten energy of different trees by using a q…
Energy and Randic index of directed graphs
Gerardo Arizmendi, Octavio Arizmendi
The concept of Randic index has been extended recently for a digraph. We prove that , where is a digraph, and denotes the…
The graph energy game
Gerardo Arizmendi, Octavio Arizmendi
We study the graph energy from a cooperative game viewpoint. We introduce \emph{the graph energy game} and show various properties. In particular, we see that it is a superadditive…
Coulson Integral Formula for the Vertex Energy of a Graph
Octavio Arizmendi, Beatriz Carely Luna Olivera, Marcelino Ramírez Ibáñez
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…