• Ponencia
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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 ...
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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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      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 ...
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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 ...
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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) ...
    • Artículo
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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) ...
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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 ...
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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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      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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      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 ...
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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 ...
    • Ponencia
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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 ...
    • Ponencia
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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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      Minimum gradation in greyscales of graphs 

      Castro Ochoa, Natalia de; Garrido Vizuete, María de los Angeles; Robles Arias, Rafael; Villar Liñán, María Trinidad (Elsevier, 2023-05)
      In this paper we present the notion of greyscale of a graph as a colouring of its vertices that uses colours from the real ...
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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 ...
    • Tesis Doctoral
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      Transversalidad en 2-complejos 

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