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Artículo
On the Minimum Order of Extremal Graphs to have a Prescribed Girth
(SIAM, 2007)
We show that any n‐vertex extremal graph G without cycles of length at most k has girth exactly $k+1$ if $k\ge 6$ and $n>(2(k-2)^{k-2}+k-5)/(k-3)$. This result provides an improvement of the asymptotical known result by ...
Artículo
Algebra Structures on the Comparison of the Reduced Bar Construction and the Reduced W-Construction
(Taylor and Francis, 2009)
For a simplicial augmented algebra K, Eilenberg–Mac Lane constructed a chain map . They proved that g is a reduction (homology isomorphism) and conjectured that it is also the injection of a contraction (special homotopy ...
Artículo
Orlicz spaces associated to a quasi‑Banach function space: applications to vector measures and interpolation
(Springer, 2021)
The Orlicz spaces XΦ associated to a quasi-Banach function space X are defined by replacing the role of the space L1 by X in the classical construction of Orlicz spaces. Given a vector measure m, we can apply this ...
Artículo
A computational algebraic geometry approach to enumerate Malcev magma algebras over finite fields
(Wiley, 2016)
The set of Mn(K) of n-dimensional Malcev magma algebras over a finite field can be identified with algebraic sets defined by zero-dimensional radical ideals for which the computation of their reduced Gröbner bases makes ...
Artículo
The r-dynamic edge coloring of a closed helm graph
(Unión Matemática Argentina, 2023-11-22)
As a natural generalization of the classical coloring problem in graph theory, the dynamic coloring problem deals with the existence of a proper coloring c of a graph so that |c(N(v))| ≥ min{r, d (v)} for every vertex v . ...
Artículo
On the uniqueness of the helicoid and Enneper’s surface in the Lorentz-Minkowski space R31
(American Mathematical Society, 2011)
In this paper we deal with the uniqueness of the Lorentzian helicoid and Enneper’s surface among properly embedded maximal surfaces with lightlike boundary of mirror symmetry in the Lorentz-Minkowski space R3
Artículo
Segmenting images with gradient-based edge detection using Membrane Computing
(Elsevier, 2013)
In this paper, we present a parallel implementation of a new algorithm for segmenting images with gradient-based edge detection by using techniques from Natural Computing. This bio-inspired parallel algorithm has been ...
Artículo
¿Es posible geogebrizar una olimpiada matemática?
(Sociedad Andaluza de Educación Matemática Thales, 2010)
En la presente comunicación se pretende abordar la resolución dinámica de algunos de los problemas geométricos que han aparecido en las diferentes fases desarrolladas en las veinticinco ediciones de la Olimpiada Matemática ...
Artículo
Multilayer shallow water models with locally variable number of layers and semi-implicit time discretization
(Elsevier Inc., 2018)
We propose an extension of the discretization approaches for multilayer shallow water models, aimed at making them more flexible and efficient for realistic applications to coastal flows. A novel discretization approach ...
Artículo
Un estudio de esquemas bien equilibrados en sistemas hiperb∂olicos no homog∂eneos.
(Sociedad Española de Matemática Aplicada, 2005)