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cs.CG2015★ 3 cited
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…
cs.CG2013★ 1 cited
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…