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Artículo
Computing The Cubical Cohomology Ring (Extended Abstract)
(Universidad de Sevilla, 2010)
The goal of this work is to establish a new algorithm for computing the cohomology ring of cubical complexes. The cubical structure enables an explicit recurrence formula for the cup product. We derive this formula and, ...
Artículo
Computing Fundamental Group via Forman’s Discrete Morse Theory Extended abstract
(Universidad de Sevilla, 2015)
We present research in progress on the algorithmic computation of the fundamental group of a CW complex. We use the algorithm to compute certain algebraic invariants of the fundamental group of the complement of a knot. ...
Artículo
The efficiency of a homology algorithm based on discrete morse theory and coreductions (extended abstract)
(Universidad de Sevilla, 2010)
Two implementations of a homology algorithm based on the Forman’s discrete Morse theory combined with the coreduction method are presented. Their efficiency is compared with other implementations of homology algorithms.
Artículo
A fast algorithm to compute cohomology group generators of orientable 2-manifolds
(Universidad de Sevilla, 2010)
In this paper a fast algorithm to compute cohomology group generators of cellular decomposition of any orientable closed 2-manifold is presented. The presented algorithm is a dual version of algorithm to compute homology ...