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cs.CG2024
Computing -presentation distances is hard
Håvard Bakke Bjerkevik, Magnus Bakke Botnan
Recently, -presentation distances for were introduced for merge trees and multiparameter persistence modules as more sensitive variations of the respective int…
cs.CG2018
Computing the interleaving distance is NP-hard
Håvard Bakke Bjerkevik, Magnus Bakke Botnan, Michael Kerber
We show that computing the interleaving distance between two multi-graded persistence modules is NP-hard. More precisely, we show that deciding whether two modules are -interlea…
cs.CG2017
Computational Complexity of the Interleaving Distance
Håvard Bakke Bjerkevik, Magnus Bakke Botnan
The interleaving distance is arguably the most prominent distance measure in topological data analysis. In this paper, we provide bounds on the computational complexity of determin…