NameVillar Liñán, María Trinidad
DepartmentGeometría y Topología
Knowledge areaGeometría y Topología
Professional categoryProfesora Titular de Universidad
E-mailRequest
           
  • No. publications

    29

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Master's Final Project
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Topologías sobre torneos

Vilches Valle, Francisco; Fernández Ternero, Desamparados; Villar Liñán, María Trinidad (2023)
El objetivo principal de este trabajo es comparar tres topologías definidas sobre torneos: la topología gráfica, la topología ...
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Minimum gradation in greyscales of graphs

Castro Ochoa, Natalia de; Garrido Vizuete, María de los Angeles; Robles Arias, Rafael; Villar Liñán, María Trinidad (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
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Algunos aspectos de la teoría de (ultra)filtros

Planás Hernández, Francisco; Ayala Gómez, Rafael; Villar Liñán, María Trinidad (2022)
The notions of filter and ultrafilter are introduced in the field of General Topology to extend the notion of convergence ...
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Generating punctured surface triangulations with degree at least 4

Chávez de Diego, María José; Negami, Seiya; Quintero Toscano, Antonio Rafael; Villar Liñán, María Trinidad (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 ...
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Contrast in Greyscales of Graphs

Castro Ochoa, Natalia de; Garrido Vizuete, María de los Angeles; Robles Arias, Rafael; Villar Liñán, María Trinidad (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
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Arboricidad de Multigrafos y la Categoría LS de Espacios Topológicos Finitos

Muñoz Rodríguez, Luz María; Quintero Toscano, Antonio Rafael; Villar Liñán, María Trinidad (2019)
El objetivo de este trabajo consiste en relacionar el invariante por homotopía conocido como cate goría de Lusternik-Schnirelmann ...
Final Degree Project
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Teoremas de Ramsey

Roldán Quintana, Ana María; Villar Liñán, María Trinidad (2018)
En este Trabajo Fin de Grado estudiaremos la Teoría de Ramsey, la cual afirma que, en general, en sistemas suficientemente ...
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Irreducible triangulations of the once-punctured torus

Lawrecenko, Serge; Sulanke, Thom; Villar Liñán, María Trinidad; Zgonnik, Lyudmila Vladimirovna; Chávez de Diego, María José (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 ...
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Irreductible Triangulations of the Once-Punctured Torus

Lawrencenko, Serge; Sulanke, Thom; Villar Liñán, María Trinidad; Zgonnik, Lyudmila Vladimirovna; Chávez de Diego, María José; Portillo Fernández, José Ramón (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 ...
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Computation of isotopisms of algebras over finite fields by means of graph invariants

Falcón Ganfornina, Óscar Jesús; Falcón Ganfornina, Raúl Manuel; Núñez Valdés, Juan; Pacheco Martínez, Ana María; Villar Liñán, María Trinidad (Elsevier, 2017)
In this paper we define a pair of faithful functors that map isomorphic and isotopic finite-dimensional algebras over ...
Final Degree Project
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Aspectos algebraicos en teoría de grafos

Franco Galvín, Francisco Javier; Villar Liñán, María Trinidad (2016)
Algebraic Graph Theory applies algebraic methods to problems about graphs. Throughout this project we will study the ...
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Classification of filiform Lie algebras up to dimension 7 over finite fields

Falcón Ganfornina, Óscar Jesús; Falcón Ganfornina, Raúl Manuel; Núñez Valdés, Juan; Pacheco Martínez, Ana María; Villar Liñán, María Trinidad (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 ...
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Gradation in Greyscales of Graphs

Castro Ochoa, Natalia de; Garrido Vizuete, María de los Angeles; Robles Arias, Rafael; Villar Liñán, María Trinidad (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
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A faithful functor among algebras and graphs

Falcón Ganfornina, Óscar Jesús; Falcón Ganfornina, Raúl Manuel; Núñez Valdés, Juan; Pacheco Martínez, Ana María; Villar Liñán, María Trinidad; Vigo Aguiar, Jesús (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 ...
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Generating families of surface triangulations. The case of punctured surfaces with inner degree at least 4

Chávez de Diego, María José; Negami, Seiya; Quintero Toscano, Antonio Rafael; Villar Liñán, María Trinidad (2015)
We present two versions of a method for generating all triangulations of any punctured surface in each of these two families: ...
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Certain particular families of graphicable algebras

Núñez Valdés, Juan; Rodríguez Arévalo, María Luisa; Villar Liñán, María Trinidad (Elsevier, 2014)
In this paper, we introduce some particular families of graphicable algebras obtained by following a relatively new line ...
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Directed pseudo-graphs and Lie algebras over finite fields

Boza Prieto, Luis; Fedriani Martel, Eugenio Manuel; Núñez Valdés, Juan; Pacheco Martínez, Ana María; Villar Liñán, María Trinidad (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 ...
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Irreducible triangulations of the Möbius band

Chávez de Diego, María José; Lawrencenko, Serge; Quintero Toscano, Antonio Rafael; Villar Liñán, María Trinidad (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.
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An algorithm that constructs irreducible triangulations of once-punctured surfaces

Chávez de Diego, María José; Lawrecenko, Serge; Portillo Fernández, José Ramón; Villar Liñán, María Trinidad; Díaz Báñez, José Miguel; Garijo Royo, Delia; Márquez Pérez, Alberto; Urrutia Galicia, Jorge (2013)
A triangulation of a surface is irreducible if there is no edge whose contraction produces another triangulation of the ...
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On the topology of locally 2-connected Peano continua

Chávez de Diego, María José; Fernández Bayort, Tomás; Quintero Toscano, Antonio Rafael; Villar Liñán, María Trinidad (Rocky Mountain Mathematics Consortium, 2012)
Several recent results by Thomassen ([23 The locally connected compatc metric spaces embeddable in the plane, Combinatorica ...
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A new kind of irreducible triangulations of the Möbius band

Chávez de Diego, María José; Quintero Toscano, Antonio Rafael; Villar Liñán, María Trinidad (2012)
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Reporting Bichromatic Segment Intersections from Point Sets

Cortés Parejo, María del Carmen; Garijo Royo, Delia; Garrido Vizuete, María de los Angeles; Grima Ruiz, Clara Isabel; Márquez Pérez, Alberto; Moreno González, Auxiliadora; Valenzuela Muñoz, Jesús; Villar Liñán, María Trinidad (2012)
In this paper, we introduce a natural variation of the problem of computing all bichromatic intersections between two sets ...
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Cover contact graphs

Atienza Martínez, María Nieves; Castro Ochoa, Natalia de; Cortés Parejo, María del Carmen; Garrido Vizuete, María de los Angeles; Grima Ruiz, Clara Isabel; Hernández, Gregorio; Márquez Pérez, Alberto; Moreno González, Auxiliadora; Nöllenburg, Martin; Portillo Fernández, José Ramón; Reyes Colume, Pedro; Valenzuela Muñoz, Jesús; Villar Liñán, María Trinidad; Wolff, Alexander (2012)
We study problems that arise in the context of covering certain geometric objects called seeds (e.g., points or disks) by ...
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A particular type of non-associative algebras and graph theory

Núñez Valdés, Juan; Silvero Casanova, Marithania; Villar Liñán, María Trinidad; Vasek, Vladimir; Shmaliy, Yuriy S.; Trcek, Denis; Kobayashi, Nobuhiko P.; Choras, Ryszard S.; Klos, Zbigniew (World Scientific and Engineering Academy and Society Press, 2011)
Evolution algebras have many connections with other mathematical fields, like group theory, stochastics processes, dynamical ...
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Low-dimensional filiform Lie algebras over finite fields

Falcón Ganfornina, Óscar Jesús; Núñez Valdés, Juan; Pacheco Martínez, Ana María; Villar Liñán, María Trinidad; Vasek, Vladimir; Shmaliy, Yuriy S.; Trcek, Denis; Kobayashi, Nobuhiko P.; Choras, Ryszard S.; Klos, Zbigniew (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. ...
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Cover Contact Graphs

Atienza Martínez, María Nieves; Castro Ochoa, Natalia de; Cortés Parejo, María del Carmen; Garrido Vizuete, María de los Angeles; Grima Ruiz, Clara Isabel; Hernández, Gregorio; Márquez Pérez, Alberto; Moreno, Auxiliadora; Nöllenburg, Martin; Portillo Fernández, José Ramón; Reyes Colume, Pedro; Valenzuela Muñoz, Jesús; Villar Liñán, María Trinidad; Wolff, Alexander (2007)
We study problems that arise in the context of covering certain geometric objects (so-called seeds, e.g., points or disks) ...
Presentation
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K-Factores en nubes bicromáticas

Grima Ruiz, Clara Isabel; Atienza Martínez, María Nieves; Cortés Parejo, María del Carmen; Garijo Royo, Delia; Valenzuela Muñoz, Jesús; Villar Liñán, María Trinidad (2007)
Consideramos una colección de puntos bicromática y nos preguntamos cuántos puntos adicionales son necesarios considerar ...
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Análisis de errores en la conceptualización y simbolización de ecuaciones diferenciales en alumnos de química

Villar Liñán, María Trinidad; Llinares, Salvador (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
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Transversalidad en 2-complejos

Villar Liñán, María Trinidad; Fernández Fernández, Luis Manuel; Márquez Pérez, Alberto (1996)
"Si bien el problema de la Transversalidad ha sido ampliamente estudiado en la Teoría de Grafos, los 2-complejos de Euler ...