289 citations · 628 across the 35 of their papers we have counts for
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math.AT2019
Parametrized Complexity of Expansion Height
Ulrich Bauer, Abhishek Rathod, Jonathan Spreer
Deciding whether two simplicial complexes are homotopy equivalent is a fundamental problem in topology, which is famously undecidable. There exists a combinatorial refinement of th…
math.AT2019★ 289 cited
Ripser: efficient computation of Vietoris-Rips persistence barcodes
Ulrich Bauer
We present an algorithm for the computation of Vietoris-Rips persistence barcodes and describe its implementation in the software Ripser. The method relies on implicit representati…
math.RT2019★ 34 cited
Cotorsion torsion triples and the representation theory of filtered hierarchical clustering
Ulrich Bauer, Magnus B. Botnan, Steffen Oppermann +1
We give a full classification of representation types of the subcategories of representations of an rectangular grid with monomorphisms (dually, epimorphisms) in one o…