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Capítulo de Libro
Algebraic topological analysis of time-sequence of digital images
(2005)
This paper introduces an algebraic framework for a topological analysis of time-varying 2D digital binary–valued images, each of them defined as 2D arrays of pixels. Our answer is based on an algebraic-topological coding, ...
Artículo
Stabbing segments with rectilinear objects
(Elsevier, 2017)
Given a set S of n line segments in the plane, we say that a region R R2 is a stabber for S if R contains exactly one endpoint of each segment of S. In this paper we provide optimal or near-optimal algorithms for ...
Capítulo de Libro
A Mathematica Notebook for Computing the Homology of Iterated Products of Groups
(2006)
Let G be a group which admits the structure of an iterated product of central extensions and semidirect products of abelian groups G i (both finite and infinite). We describe a Mathematica 4.0 notebook for computing the ...
Capítulo de Libro
A genetic algorithm for cocyclic hadamard matrices
(2006)
A genetic algorithm for finding cocyclic Hadamard matrices is described. Though we focus on the case of dihedral groups, the algorithm may be easily extended to cover any group. Some executions and examples are also included, ...
Capítulo de Libro
Calculating cocyclic hadamard matrices in Mathematica: exhaustive and heuristic searches
(2006)
We describe a notebook in Mathematica which, taking as input data a homological model for a finite group G of order |G| = 4t, performs an exhaustive search for constructing the whole set of cocyclic Hadamard matrices over ...
Capítulo de Libro
Simplicial perturbation techniques and effective homology
(2006)
In this paper, we deal with the problem of the computation of the homology of a finite simplicial complex after an “elementary simplicial perturbation” process such as the inclusion or elimination of a maximal simplex or ...
Capítulo de Libro
Comparison maps for relatively free resolutions
(2006)
Let Λ be a commutative ring, A an augmented differential graded algebra over Λ (briefly, DGA-algebra) and X be a relatively free resolution of Λ over A. The standard bar resolution of Λ over A, denoted by B(A), provides ...