no code implementations • 22 Dec 2021 • Robert Cardona, Justin Curry, Tung Lam, Michael Lesnick
Adapting a definition given by Bjerkevik and Lesnick for multiparameter persistence modules, we introduce an $\ell^p$-type extension of the interleaving distance on merge trees.
1 code implementation • 15 Feb 2019 • Michael Lesnick, Matthew Wright
Motivated by applications to topological data analysis, we give an efficient algorithm for computing a (minimal) presentation of a bigraded $K[x, y]$-module $M$, where $K$ is a field.
Algebraic Topology Symbolic Computation Commutative Algebra 55N31, 13D02