• Ponencia
  

  Recent developments on the crossing number of the complete graph 

  Ramos Alonso, Pedro Antonio (2013)
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  Flips in combinatorial pointed pseudo-triangulations with face degree at most four 

  Aichholzer, Oswin; Hackl, Thomas; Orden Martín, David; Pilz, Alexander; Saumell Mendiola, María; Vogtenhuber, Birgit (2013)

  In this paper we consider the flip operation for combinatorial pointed pseudo-triangulations where faces have size 3 or ...

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  Monotone crossing number of complete graphs 

  Balko, Martin; Fulek, Radoslav; Kynčl, Jan (2013)

  In 1958, Hill conjectured that the minimum number of crossings in a drawing of Kn is exactly Z(n) = 1/4 n-1/2/2 n−2/2 ...

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  On 4-connected geometric graphs 

  García Olaverri, Alfredo; Huemer, Clemens; Tejel Altarriba, Francisco Javier; Valtr, Pavel (2013)

  Given a set S of n points in the plane, in this paper we give a necessary and sometimes sufficient condition to build a 4-connected non-crossing geometric graph on S.

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  Phase transitions in the Ramsey-Turán theory 

  Balogh, József (2013)

  Let f(n) be a function and L be a graph. Denote by RT(n, L, f(n)) the maximum number of edges of an L-free graph on n ...

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  The alternating path problem revisited 

  Claverol Aguas, Mercè; Garijo Royo, Delia; Hurtado Díaz, Ferran; Lara Cuevas, María Dolores; Seara Ojea, Carlos (2013)

  It is well known that, given n red points and n blue points on a circle, it is not always possible to find a plane geometric ...

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  Witness bar visibility 

  Cortés Parejo, María del Carmen; Hurtado Díaz, Ferran; Márquez Pérez, Alberto; Valenzuela Muñoz, Jesús (2013)

  Bar visibility graphs were introduced in the seventies as a model for some VLSI layout problems. They have been also studied ...

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  On making a graph crossing-critical 

  Hernández Vélez, César Israel; Leaños Macías, Jesús (2013)

  A graph is crossing-critical if its crossing number decreases when we remove any of its edges. Recently it was proved that ...

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  On three parameters of invisibility graphs 

  Cibulka, Josef; Korbelář, Miroslav; Kynčl, Jan; Mészáros, Viola; Stolař, Rudolf; Valtr, Pavel (2013)

  The invisibility graph I(X) of a set X ⊆ Rd is a (possibly infinite) graph whose vertices are the points of X and two ...

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  Improved enumeration of simple topological graphs 

  Kynčl, Jan (2013)

  A simple topological graph T = (V (T ), E(T )) is a drawing of a graph in the plane where every two edges have at most one ...

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  Stackable tessellations 

  Enrique Monzo, Lluís; Jaume Deyà, Rafel (2013)

  We introduce a class of solids that can be constructed gluing stackable pieces, which has been proven to have advantages ...

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  Stabbing simplices of point sets with k-flats 

  Cano Vila, Javier; Hurtado Díaz, Ferran; Urrutia Galicia, Jorge (2013)

  Let S be a set of n points in Rd in general position. A set H of k-flats is called an mk-stabber of S if the relative ...

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  Note on the number of obtuse angles in point sets 

  Fabila Monroy, Ruy; Huemer, Clemens; Tramuns Figueras, Eulàlia (2013)

  In 1979 Conway, Croft, Erd\H{o}s and Guy proved that every set SS of nn points in general position in the plane determines ...

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  Empty convex polytopes in random point sets 

  Balogh, József; González Aguilar, Hernán; Salazar Anaya, Gelasio (2013)

  Given a set P of points in Rd, a convex hole (alternatively, empty convex polytope) of P is a convex polytope with vertices ...

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  Simulating distributed algorithms for lattice agents 

  Aichholzer, Oswin; Hackl, Thomas; Sacristán Adinolfi, Vera; Vogtenhuber, Birgit; Wallner, Reinhardt (2013)

  We present a practical Java tool for simulating synchronized distributed algorithms on sets of 2-and 3-dimensional ...

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  A symbolic-numeric dynamic geometry environment for the computation of equidistant curves 

  Abánades Astudillo, Miguel Ángel; Botana Ferreiro, Francisco (2013)

  A web-based system that determines point/curve and curve/curve bisectors in a dynamic geometry system in a completely ...

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  Simulated annealing applied to the MWPT problem 

  Gagliardi, Edilma Olinda; Leguizamón, Mario Guillermo; Hernández Peñalver, Gregorio (2013)

  The Minimum Weight Pseudo-Triangulation (MWPT) problem is suspected to be NP-hard. We show here how Simulated Annealing ...

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  SensoGraph: Using proximity graphs for sensory analysis 

  Miguel, David N. de; Orden Martín, David; Fernández Fernández, Encarnación; Rodríguez Nogales, José Manuel; Vila Crespo, Josefina (2013)

  Sensory evaluation of foods is as important as chemical, physical or microbiological examinations, being specially relevant ...

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  Drawing the double circle on a grid of minimum size 

  Bereg, Sergey; Fabila Monroy, Ruy; Flores Peñaloza, David; Lopez, Mario A.; Pérez Lantero, Pablo (2013)

  In 1926, Jarník introduced the problem of drawing a convex n-gon with vertices having integer coordinates. He constructed ...

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  On the nonexistence of k-reptile simplices in R3 and R4 

  Kynčl, Jan; Safernova, Zuzana (2013)

  A d-dimensional simplex S is called a k-reptile (or a k-reptile simplex) if it can be tiled without overlaps by k simplices ...

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