2 papers
cs.CG2026
Linked Barcode for Persistence Induced by Filtrations
Tamal K. Dey, Gilberto Gonzalez-Arroyo, Tao Hou
The well-known persistence algorithm summarizes the evolution of homological cycles into what is called a \emph{barcode} while scanning an input simplicial filtration. We show that…
cs.CG2025
Computing Optimal Persistent Cycles for Levelset Zigzag on Manifold-like Complexes
Tamal K. Dey, Tao Hou, Anirudh Pulavarthy
In standard persistent homology, a persistent cycle born and dying with a persistence interval (bar) associates the bar with a concrete topological representative, which provides m…