Now showing items 1-20 of 22

    • 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 (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 ...
    • Presentation
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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)
    • Presentation
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      A particular type of non-associative algebras and graph theory 

      Núñez Valdés, Juan; Silvero Casanova, Marithania; Villar Liñán, María Trinidad (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
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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 (2013)
      A triangulation of a surface is irreducible if there is no edge whose contraction produces another triangulation of the ...
    • Final Degree Project
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      Aspectos algebraicos en teoría de grafos 

      Franco Galvín, Francisco Javier (2016-06)
      Algebraic Graph Theory applies algebraic methods to problems about graphs. Throughout this project we will study the ...
    • Article
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      Certain particular families of graphicable algebras 

      Núñez Valdés, Juan; Rodríguez Arévalo, María Luisa; Villar Liñán, María Trinidad (Elsevier, 2014-11-01)
      In this paper, we introduce some particular families of graphicable algebras obtained by following a relatively new line ...
    • Article
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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 ...
    • Article
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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, 2017-07)
      In this paper we define a pair of faithful functors that map isomorphic and isotopic finite-dimensional algebras over ...
    • Article
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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 ...
    • Article
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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) ...
    • Article
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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) ...
    • Article
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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, 2014-03)
      The main goal of this paper is to show an application of Graph Theory to classifying Lie algebras over finite fields. It ...
    • Article
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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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      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 ...
    • Article
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      Irreducible triangulations of the Möbius band 

      Chávez de Diego, María José; Lawrecenko, 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.
    • Article
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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 ...
    • 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 ...
    • Presentation
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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 (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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      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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      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 ...