539 citations · 976 across the 32 of their papers we have counts for
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Ollivier curvature of random geometric graphs converges to Ricci curvature of their Riemannian manifolds
Pim van der Hoorn, Gabor Lippner, Carlo Trugenberger +1
Curvature is a fundamental geometric characteristic of smooth spaces. In recent years different notions of curvature have been developed for combinatorial discrete objects such as…
Ollivier-Ricci curvature convergence in random geometric graphs
Pim van der Hoorn, William J. Cunningham, Gabor Lippner +2
Connections between continuous and discrete worlds tend to be elusive. One example is curvature. Even though there exist numerous nonequivalent definitions of graph curvature, none…
Sparse Maximum-Entropy Random Graphs with a Given Power-Law Degree Distribution
Pim van der Hoorn, Gabor Lippner, Dmitri Krioukov
Even though power-law or close-to-power-law degree distributions are ubiquitously observed in a great variety of large real networks, the mathematically satisfactory treatment of r…