Now showing items 1-12 of 68

  • Order types of random point sets can be realized with small integer coordinates 

    Fabila-Monroy, Ruy; Huemer, Clemens (2017)
    Conference report
    Open Access
    Let S := {p1, . . . , pn} be a set of n points chosen independently and uniformly at random from the unit square and let M be a positive integer. For every point pi = (xi , yi) in S, let p 0 i = (bMxic, bMyic). Let S 0 := ...
  • Matching points with diametral disks 

    Huemer, Clemens; Pérez-Lantero, Pablo; Seara Ojea, Carlos; Silveira, Rodrigo Ignacio (2017)
    Conference report
    Open Access
    We consider matchings between a set R of red points and a set B of blue points with diametral disks. In other words, for each pair of matched points p ¿ R and q ¿ B, we consider the diametral disk defined by p and q. We ...
  • The connectivity of the flip graph of Hamiltonian paths of the grid graph 

    Duque, Frank; Fabila Monroy, Ruy; Flores Peñazola, David; Hidalgo Toscano, Carlos; Huemer, Clemens (2017)
    Conference report
    Open Access
    Let Gn,m be the grid graph with n columns and m rows. Let Hn,m be the graph whose vertices are the Hamiltonian paths in Gn,m, where two vertices P1 and P2 are adjacent if we can obtain P2 from P1 by deleting an edge in P1 ...
  • Location in maximal outerplanar graphs 

    Claverol Aguas, Mercè; García, Alfredo; Hernández, Gregorio; Hernando Martín, María del Carmen; Maureso Sánchez, Montserrat; Mora Giné, Mercè; Tejel, Javier (2017)
    Conference report
    Restricted access - publisher's policy
    In this work we study the metric dimension and the location-domination number of maximal outerplanar graphs. Concretely, we determine tight upper and lower bounds on the metric dimension and characterize those maximal ...
  • Locating-dominating partitions in graphs 

    Pelayo Melero, Ignacio Manuel; Hernando Martín, María del Carmen; Mora Giné, Mercè (2016)
    Conference report
    Open Access
    Let G = (V, E) be a connected graph of order n. Let ¿ = {S1, . . . , Sk} be a partition of V . Let r(u|¿) denote the vector of distances between a vertex v ¿ V and the elements of ¿, that is, r(v, ¿) = (d(v, S1), . . . ...
  • Map construction algorithms: an evaluation through hiking data 

    Duran, David; Sacristán Adinolfi, Vera; Silveira, Rodrigo Ignacio (Association for Computing Machinery (ACM), 2017)
    Conference report
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    We study five existing map construction algorithms, designed and tested with urban vehicle data in mind, and apply them to hiking trajectories with different terrain characteristics. Our main goal is to better understand ...
  • Implementing data-dependent triangulations with higher order Delaunay triangulations 

    Rodríguez, Natalia; Silveira, Rodrigo Ignacio (Association for Computing Machinery (ACM), 2016)
    Conference report
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    The Delaunay triangulation is the standard choice for building triangulated irregular networks (TINs) to represent terrain surfaces. However, the Delaunay triangulation is based only on the 2D coordinates of the data points, ...
  • Stabbing circles for some sets of Delaunay segments 

    Claverol Aguas, Mercè; Khramtcova, Elena; Papadopoulou, Evanthia; Saumell, Maria; Seara Ojea, Carlos (2016)
    Conference report
    Open Access
    Let S be a set of n segments in the plane such that, for every segment, its two endpoints are adjacent in the Delaunay triangulation of the set of endpoints of all segments in S. Our goal is to compute all the combinatorially ...
  • Stabbing circles for sets of segments in the plane 

    Claverol Aguas, Mercè; Khramtcova, Elena; Papadopoulou, Evanthia; Saumell, Maria; Seara Ojea, Carlos (2016)
    Conference report
    Restricted access - publisher's policy
    Stabbing a set S of n segments in the plane by a line is a well-known problem. In this paper we consider the variation where the stabbing object is a circle instead of a line. We show that the problem is tightly connected ...
  • A new meta-module for efficient reconfiguration of hinged-units modular robots 

    Parada, Irene; Sacristán Adinolfi, Vera; Silveira, Rodrigo Ignacio (Institute of Electrical and Electronics Engineers (IEEE), 2016)
    Conference report
    Open Access
    We present a robust and compact meta-module for edge-hinged modular robot units such as M-TRAN, SuperBot, SMORES, UBot, PolyBot and CKBot, as well as for central-point-hinged ones such as Molecubes and Roombots. Thanks ...
  • Ramsey numbers for empty convex polygons 

    Bautista-Santiago, Crevel; Cano, Javier; Fabila-Monroy, Ruy; Hidalgo-Toscano, Carlos; Huemer, Clemens; Leaños, Jesús; Sakai, Toshinori; Urrutia, Jorge (University of Ljubljana, 2015)
    Conference report
    Restricted access - publisher's policy
    We study a geometric Ramsey type problem where the vertices of the complete graph Kn are placed on a set S of n points in general position in the plane, and edges are drawn as straight-line segments. We define the empty ...
  • On the disks with diameters the sides of a convex 5-gon 

    Huemer, Clemens; Pérez-Lantero, Pablo (Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada II (MA2), 2015)
    Conference report
    Restricted access - publisher's policy
    We prove that for any convex pentagon there are two disks, among the five disks having a side of the pentagon as diameter and the midpoint of the side as its center, that do not intersect. This shows that K5 is never the ...