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physics.soc-ph2022
Gromov Centrality: A Multi-Scale Measure of Network Centrality Using Triangle Inequality Excess
Shazia'Ayn Babul, Karel Devriendt, Renaud Lambiotte
Centrality measures quantify the importance of a node in a network based on different geometric or diffusive properties, and focus on different scales. Here, we adopt a geometrical…
math.DG2022★ 30 cited
Discrete curvature on graphs from the effective resistance
Karel Devriendt, Renaud Lambiotte
This article introduces a new approach to discrete curvature based on the concept of effective resistances. We propose a curvature on the nodes and links of a graph and present the…