156 citations · 650 across the 32 of their papers we have counts for
3 papers · 1 filter
Forman-Ricci curvature and Persistent homology of unweighted complex networks
Indrava Roy, Sudharsan Vijayaraghavan, Sarath Jyotsna Ramaia +1
We present the application of topological data analysis (TDA) to study unweighted complex networks via their persistent homology. By endowing appropriate weights that capture the i…
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…
Persistent homology of unweighted complex networks via discrete Morse theory
Harish Kannan, Emil Saucan, Indrava Roy +1
Topological data analysis can reveal higher-order structure beyond pairwise connections between vertices in complex networks. We present a new method based on discrete Morse theory…