2 citations · 2 across the 1 of their papers we have counts for
3 papers
math.AT2020★ 2 cited
A directed persistent homology theory for dissimilarity functions
David Méndez, Rubén J. Sánchez-García
We develop a theory of persistent homology for directed simplicial complexes which detects persistent directed cycles in odd dimensions. We relate directed persistent homology to c…
cs.LG2018
Possibility results for graph clustering: A novel consistency axiom
Fabio Strazzeri, Rubén J. Sánchez-García
Kleinberg introduced three natural clustering properties, or axioms, and showed they cannot be simultaneously satisfied by any clustering algorithm. We present a new clustering pro…
math.KT2017
Equivariant -homology for hyperbolic reflection groups
Jean-François Lafont, Ivonne J. Ortiz, Alexander Rahm +1
We compute the equivariant -homology of the classifying space for proper actions, for compact 3-dimensional hyperbolic reflection groups. This coincides with the topological …