794 citations · 1.8k across the 40 of their papers we have counts for
3 papers · 2 filters
Grounded persistent path homology: a stable, topological descriptor for weighted digraphs
Thomas Chaplin, Heather A. Harrington, Ulrike Tillmann
Weighted digraphs are used to model a variety of natural systems and can exhibit interesting structure across a range of scales. In order to understand and compare these systems, w…
Hypergraphs for multiscale cycles in structured data
Agnese Barbensi, Iris H. R. Yoon, Christian Degnbol Madsen +3
Scientific data has been growing in both size and complexity across the modern physical, engineering, life and social sciences. Spatial structure, for example, is a hallmark of man…
Homology of homologous knotted proteins
Katherine Benjamin, Lamisah Mukta, Gabriel Moryoussef +4
Quantification and classification of protein structures, such as knotted proteins, often requires noise-free and complete data. Here we develop a mathematical pipeline that systema…