Matúš Paralič

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math.CO2026

On harmonic centers of graphs

Tomáš Madaras, Matúš Paralič

The harmonic centrality of a vertex $v$ in a graph $G = (V, E)$ is the sum of reciprocals of distances of vertices of $G$ from $v$ . The vertices of $G$ which have the maximum (minim…

math.CO2026

Betweenness centers of graphs

Tomáš Madaras, Matúš Paralič

The betweenness centrality of a vertex $v$ in a graph $G = (V, E)$ is the sum of the relative numbers of shortest paths of $G$ that pass through $v$ . The vertices of $G$ which have…