3 citations · 4 across the 3 of their papers we have counts for
3 papers
Multiparameter Discrete Morse Theory
Guillaume Brouillette, Madjid Allili, Tomasz Kaczynski
The main objective of this paper is to extend Morse-Forman theory to vector-valued functions. This is mostly motivated by the need to develop new tools and methods to compute multi…
A New Matching Algorithm for Multidimensional Persistence
Madjid Allili, Tomasz Kaczynski, Claudia Landi +1
An algorithm is presented that constructs an acyclic partial matching on the cells of a given simplicial complex from a vector-valued function defined on the vertices and extended…
Reducing complexes in multidimensional persistent homology theory
Madjid Allili, Tomasz Kaczynski, Claudia Landi
The Discrete Morse Theory of Forman appeared to be useful for providing filtration-preserving reductions of complexes in the study of persistent homology. So far, the algorithms co…