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Artículo
Homological optimality in Discrete Morse Theory through chain homotopies
(2012)
Morse theory is a fundamental tool for analyzing the geometry and topology of smooth manifolds. This tool was translated by Forman to discrete structures such as cell complexes, by using discrete Morse functions or ...
Artículo
Searching combinatorial optimality using graph-based homology information
(2015)
This paper analyses the topological information of a digital object O under a combined combinatorial-algebraic point of view. Working with a topology-preserving cellularization K(O) of the object, algebraic and combinatorial ...