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10/23/2022
Computing the Matching Distance of 2-Parameter Persistence Modules from Critical Values
The exact computation of the matching distance for multi-parameter persi...
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11/30/2020
Morse-based Fibering of the Persistence Rank Invariant
Although there is no doubt that multi-parameter persistent homology is a...
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01/14/2020
Critical Sets of PL and Discrete Morse Theory: a Correspondence
Piecewise-linear (PL) Morse theory and discrete Morse theory are used in...
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04/10/2019
Persistence-perfect discrete gradient vector fields and multi-parameter persistence
The main objective of this paper is to introduce and study a notion of p...
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11/13/2018
Computing multiparameter persistent homology through a discrete Morse-based approach
Persistent Homology (PH) allows tracking homology features like loops, h...
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09/26/2018
A Kernel for Multi-Parameter Persistent Homology
Topological data analysis and its main method, persistent homology, prov...
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01/05/2018
The Reeb Graph Edit Distance is Universal
We consider the setting of Reeb graphs of piecewise linear functions and...
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08/02/2006