Author profile: Villar Liñán, María Trinidad
Institutional data
Name | Villar Liñán, María Trinidad |
Department | Geometría y Topología |
Knowledge area | Geometría y Topología |
Professional category | Profesora Titular de Universidad |
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Statistics
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No. publications
30
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No. visits
4089
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No. downloads
17444
Publications |
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Master's Final Project
Topologías sobre torneos
(2023)
El objetivo principal de este trabajo es comparar tres topologías definidas sobre torneos: la topología gráfica, la topología ... |
Article
Minimum gradation in greyscales of graphs
(Elsevier, 2023)
In this paper we present the notion of greyscale of a graph as a colouring of its vertices that uses colours from the real ... |
Final Degree Project
Algunos aspectos de la teoría de (ultra)filtros
(2022)
The notions of filter and ultrafilter are introduced in the field of General Topology to extend the notion of convergence ... |
Article
Generating punctured surface triangulations with degree at least 4
(Ovidius University Press, 2022)
As a sequel of a previous paper by the authors, we present here a generating theorem for the family of triangulations of ... |
Article
Contrast in Greyscales of Graphs
(Springer, 2020)
In this paper,we present the notion of greyscale of a graph, as a colouring of its vertices that uses colours from the ... |
Final Degree Project
Arboricidad de Multigrafos y la Categoría LS de Espacios Topológicos Finitos
(2019)
El objetivo de este trabajo consiste en relacionar el invariante por homotopía conocido como cate goría de Lusternik-Schnirelmann ... |
Final Degree Project
Teoremas de Ramsey
(2018)
En este Trabajo Fin de Grado estudiaremos la Teoría de Ramsey, la cual afirma que, en general, en sistemas suficientemente ... |
Article
Irreducible triangulations of the once-punctured torus
(Sobolev Institute of Mathematics, 2018)
A triangulation of a surface with fixed topological type is called irreducible if no edge can be contracted to a vertex ... |
Article
Irreductible Triangulations of the Once-Punctured Torus
(Sobolev Institute of Mathematics, 2018)
A triangulation of a surface with fixed topological type is called irreducible if no edge can be contracted to a vertex ... |
Article
Computation of isotopisms of algebras over finite fields by means of graph invariants
(Elsevier, 2017)
In this paper we define a pair of faithful functors that map isomorphic and isotopic finite-dimensional algebras over ... |
Final Degree Project
Aspectos algebraicos en teoría de grafos
(2016)
Algebraic Graph Theory applies algebraic methods to problems about graphs. Throughout this project we will study the ... |
Article
Classification of filiform Lie algebras up to dimension 7 over finite fields
(Ovidius University, 2016)
This paper tries to develop a recent research which consists in using Discrete Mathematics as a tool in the study of the ... |
Article
Gradation in Greyscales of Graphs
(Cornell University, 2016)
In this work we present the notion of greyscale of a graph as a colouring of its vertices that uses colours from the real ... |
Presentation
A faithful functor among algebras and graphs
(Computational and Mathematical Methods in Science and Engineering, 2016)
The problem of identifying a functor between the categories of algebras and graphs is currently open. Based on a known ... |
Article
Generating families of surface triangulations. The case of punctured surfaces with inner degree at least 4
(2015)
We present two versions of a method for generating all triangulations of any punctured surface in each of these two families: ... |
Article
Certain particular families of graphicable algebras
(Elsevier, 2014)
In this paper, we introduce some particular families of graphicable algebras obtained by following a relatively new line ... |
Article
Directed pseudo-graphs and Lie algebras over finite fields
(Institute of Mathematics, Czech Academy of Sciences, 2014)
The main goal of this paper is to show an application of Graph Theory to classifying Lie algebras over finite fields. It ... |
Article
Irreducible triangulations of the Möbius band
(Institute of Mathematics and Computer Science of the Academy of Sciences of Moldova, 2014)
A complete list of irreducible triangulations is identified on the Möbius band. |
Presentation
An algorithm that constructs irreducible triangulations of once-punctured surfaces
(2013)
A triangulation of a surface is irreducible if there is no edge whose contraction produces another triangulation of the ... |
Article
On the topology of locally 2-connected Peano continua
(Rocky Mountain Mathematics Consortium, 2012)
Several recent results by Thomassen ([23 The locally connected compatc metric spaces embeddable in the plane, Combinatorica ... |
Presentation |
Article
Reporting Bichromatic Segment Intersections from Point Sets
(2012)
In this paper, we introduce a natural variation of the problem of computing all bichromatic intersections between two sets ... |
Article
Cover contact graphs
(2012)
We study problems that arise in the context of covering certain geometric objects called seeds (e.g., points or disks) by ... |
Presentation
A particular type of non-associative algebras and graph theory
(World Scientific and Engineering Academy and Society Press, 2011)
Evolution algebras have many connections with other mathematical fields, like group theory, stochastics processes, dynamical ... |
Presentation
Low-dimensional filiform Lie algebras over finite fields
(World Scientific and Engineering Academy and Society Press, 2011)
In this paper we use some objects of Graph Theory to classify low-dimensional filiform Lie algebras over finite fields. ... |
Presentation
K-Factores en nubes bicromáticas
(2007)
Consideramos una colección de puntos bicromática y nos preguntamos cuántos puntos adicionales son necesarios considerar ... |
Chapter of Book
On irreductible triangulations of Punctured Torus and Punctured Klein Bottle
(Editorial UCA, 2007)
We extend Lawrencenko and Negami’s results in [4, 5] by establishing lower and upper bounds for the number of irreducible triangulations of the punctured torus and the punctured Klein bottle. |
Article
Cover Contact Graphs
(2007)
We study problems that arise in the context of covering certain geometric objects (so-called seeds, e.g., points or disks) ... |
Article
Análisis de errores en la conceptualización y simbolización de ecuaciones diferenciales en alumnos de química
(Grupo editorial Iberoamérica, 1996)
Este artículo recoge un análisis de los errores más frecuentes cometidos por estudiantes de Matemáticas de 2° curso de la ... |
PhD Thesis
Transversalidad en 2-complejos
(1996)
"Si bien el problema de la Transversalidad ha sido ampliamente estudiado en la Teoría de Grafos, los 2-complejos de Euler ... |