Browsing by Author "Seara Ojea, Carlos"

Antimagic labelings of caterpillars
Lozano Bojados, Antoni; Mora Giné, Mercè; Seara Ojea, Carlos (20190415)
Article
Restricted access  publisher's policyA kantimagic labeling of a graph G is an injection from E(G) to {1,2, ..., E(G)+k} such that all vertex sums are pairwise distinct, where the vertex sum at vertex u is the sum of the labels assigned to edges incident ... 
Balanced partitions of 3colored geometric sets in the plane
Bereg, Sergey; Hurtado Díaz, Fernando Alfredo; Kano, Mikio; Korman, Matias; Lara, Dolores; Seara Ojea, Carlos; Silveira, Rodrigo Ignacio; Urrutia Galicia, Jorge; Verbeek, Kevin (2015)
Article
Open AccessLet SS be a finite set of geometric objects partitioned into classes or colors . A subset S'¿SS'¿S is said to be balanced if S'S' contains the same amount of elements of SS from each of the colors. We study several ... 
Characteristic polynomials of production matrices for geometric graphs
Huemer, Clemens; Pilz, Alexander; Seara Ojea, Carlos; Silveira, Rodrigo Ignacio (20170801)
Article
Open AccessAn n×n production matrix for a class of geometric graphs has the property that the numbers of these geometric graphs on up to n vertices can be read off from the powers of the matrix. Recently, we obtained such production ... 
Extremal graph theory for metric dimension and diameter
Hernando Martín, María del Carmen; Mora Giné, Mercè; Seara Ojea, Carlos; Wood, David (20100222)
Article
Open AccessA set of vertices S resolves a connected graph G if every vertex is uniquely determined by its vector of distances to the vertices in S. The metric dimension of G is the minimum cardinality of a resolving set of G. Let ... 
Extremal graph theory for metric dimension and diameter
Hernando Martín, María del Carmen; Mora Giné, Mercè; Pelayo Melero, Ignacio Manuel; Seara Ojea, Carlos; Wood, David (2010)
Article
Open Access 
Fitting a twojoint orthogonal chain to a point set
DíazBáñez, José Miguel; López, Mario A.; Mora Giné, Mercè; Seara Ojea, Carlos; Ventura, Inmaculada (201104)
Article
Open AccessWe study the problem of fitting a twojoint orthogonal polygonal chain to a set S of n points in the plane, where the objective function is to minimize the maximum orthogonal distance from S to the chain. We show that this ... 
Matching points with diametral disks
Huemer, Clemens; PérezLantero, Pablo; Seara Ojea, Carlos; Silveira, Rodrigo Ignacio (2017)
Conference report
Open AccessWe 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 ... 
Matching points with things
Taslakian, Perouz; Seara Ojea, Carlos; Saumell Mendiola, Maria; Langerman, Stefan; Hurtado Díaz, Fernando Alfredo; Aloupis, Greg; Cardinal, Jean; Collette, Sébastien; Demaine, Erik D.; Demaine, Martin L.; Dulieu, Muriel; Fabila Monroy, Ruy; Hart, Vi (Springer Verlag, 2010)
Conference report
Restricted access  publisher's policyGiven an ordered set of points and an ordered set of geometric objects in the plane, we are interested in finding a noncrossing matching between pointobject pairs. We show that when the objects we match the points to ... 
New results on stabbing segments with a polygon
Díaz Bañez, José Miguel; Korman Cozzetti, Matías; Pérez Lantero, Pablo; Pilz, Alexander; Seara Ojea, Carlos; Silveira, Rodrigo Ignacio (20150101)
Article
Open AccessWe consider a natural variation of the concept of stabbing a set of segments with a simple polygon: a segment s is stabbed by a simple polygon P if at least one endpoint of s is contained in P, and a segment set S is stabbed ... 
New results on stabbing segments with a polygon
Díaz Bañez, José Miguel; Korman Cozzetti, Matías; Pérez Lantero, Pablo; Pilz, Alexander; Seara Ojea, Carlos; Silveira, Rodrigo Ignacio (Springer, 2013)
Conference report
Restricted access  publisher's policyWe consider a natural variation of the concept of stabbing a segment by a simple polygon: a segment is stabbed by a simple polygon P if at least one of its two endpoints is contained in P. A segment set S is stabbed by P ... 
On computing enclosing isosceles triangles and related problems
Bose, Prosenjit; Mora Giné, Mercè; Seara Ojea, Carlos; Sethia, Saurabh (201102)
Article
Open AccessGiven a set of n points in the plane, we show how to compute various enclosing isosceles triangles where different parameters such as area or perimeter are optimized. We then study a 3dimensional version of the problem ... 
On geodetic sets formed by boundary vertices
Cáceres González, José; Hernando Martín, María del Carmen; Mora Giné, Mercè; Pelayo Melero, Ignacio Manuel; Puertas González, María Luz; Seara Ojea, Carlos (2003)
Article
Open AccessLet G be a ﬁnite simple connected graph. A vertex v is a boundary vertex of G if there exists a vertex u such that no neighbor of v is further away from u than v. We obtain a number of properties involving diﬀerent types ... 
On Hamiltonian alternating cycles and paths
Claverol Aguas, Mercè; García, Alfredo; Garijo Royo, Delia; Seara Ojea, Carlos; Tejel, Javier (201803)
Article
Open AccessWe undertake a study on computing Hamiltonian alternating cycles and paths on bicolored point sets. This has been an intensively studied problem, not always with a solution, when the paths and cycles are also required to ... 
On monophonic sets in graphs
Hernando Martín, María del Carmen; Mora Giné, Mercè; Pelayo Melero, Ignacio Manuel; Seara Ojea, Carlos (2003)
External research report
Open Access 
On the determining number and the metric dimension of graphs
Cáceres, Jose; Garijo, Delia; Puertas González, María Luz; Seara Ojea, Carlos (20100419)
Article
Open AccessThis paper initiates a study on the problem of computing the difference between the metric dimension and the determining number of graphs. We provide new proofs and results on the determining number of trees and Cartesian ... 
On the Steiner, geodetic and hull numbers of graphs
Hernando Martín, María del Carmen; Tao, Jiang; Mora Giné, Mercè; Pelayo Melero, Ignacio Manuel; Seara Ojea, Carlos (2003)
Article
Open AccessGiven a graph G and a subset W ? V (G), a Steiner Wtree is a tree of minimum order that contains all of W. Let S(W) denote the set of all vertices in G that lie on some Steiner Wtree; we call S(W) the Steiner interval ... 
Production matrices for geometric graphs
Huemer, Clemens; Pilz, Alexander; Seara Ojea, Carlos; Silveira, Rodrigo Ignacio (2016)
Article
Open AccessWe present production matrices for noncrossing geometric graphs on point sets in convex position, which allow us to derive formulas for the numbers of such graphs. Several known identities for Catalan numbers, Ballot ... 
Some structural, metric and convex properties of the boundary of a graph
Hernando Martín, María del Carmen; Mora Giné, Mercè; Pelayo Melero, Ignacio Manuel; Seara Ojea, Carlos (20130425)
Article
Open AccessLet u;v be two vertices of a connected graph G . The vertex v is said to be a boundary vertex of u if no neighbor of v is further away from u than v . The boundary of a graph is the set of all its ... 
Stabbers of line segments in the plane
Claverol Aguas, Mercè; Garijo, Delia; Grima, Clara; Márquez, Alberto; Seara Ojea, Carlos (201107)
Article
Open AccessThe problem of computing a representation of the stabbing lines of a set S of segments in the plane was solved by Edelsbrunner et al. We provide efficient algorithms for the following problems: computing the stabbing wedges ... 
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 policyStabbing a set S of n segments in the plane by a line is a wellknown 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 ...