156 citations · 650 across the 32 of their papers we have counts for
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A Simple Differential Geometry for Complex Networks
Emil Saucan, Areejit Samal, Jürgen Jost
We introduce new definitions of sectional, Ricci and scalar curvature for networks and their higher dimensional counterparts, derived from two classical notions of curvature for cu…
A Simple Differential Geometry for Networks and its Generalizations
Emil Saucan, Areejit Samal, Jürgen Jost
Based on two classical notions of curvature for curves in general metric spaces, namely the Menger and Haantjes curvatures, we introduce new definitions of sectional, Ricci and sca…
Discrete Ricci curvatures for directed networks
Emil Saucan, R. P. Sreejith, R. P. Vivek-Ananth +2
A goal in network science is the geometrical characterization of complex networks. In this direction, we have recently introduced Forman's discretization of Ricci curvature to the…