23 citations · 40 across the 6 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…
Shilnikov-type Dynamics in Three-Dimensional Piecewise Smooth Maps
Indrava Roy, Mahashweta Patra, Soumitro Banerjee
We show the existence of Shilnikov-type dynamics and bifurcation behaviour in general discrete three-dimensional piecewise smooth maps and give analytical results for the occurence…
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…