Artículo
Cover Contact Graphs
Autor/es | 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 |
Departamento | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) |
Fecha de publicación | 2007 |
Fecha de depósito | 2016-02-02 |
Publicado en |
|
Resumen | We study problems that arise in the context of covering certain geometric objects (so-called seeds, e.g., points or disks) by a set of other geometric objects (a so-called cover, e.g., a set of disks or homothetic triangles). ... We study problems that arise in the context of covering certain geometric objects (so-called seeds, e.g., points or disks) by a set of other geometric objects (a so-called cover, e.g., a set of disks or homothetic triangles). We insist that the interiors of the seeds and the cover elements are pairwise disjoint, but they can touch. We call the contact graph of a cover a cover contact graph (CCG). We are interested in two types of tasks: (a) deciding whether a given seed set has a connected CCG, and (b) deciding whether a given graph has a realization as a CCG on a given seed set. Concerning task (a) we give efficient algorithms for the case that seeds are points and covers are disks or triangles. We show that the problem becomes NP-hard if seeds and covers are disks. Concerning task (b) we show that it is even NP-hard for point seeds and disk covers (given a fixed correspondence between vertices and seeds). |
Identificador del proyecto | MTM2005-08441-C02-01
PAI FQM—0164 WO 758/4-2 |
Cita | Atienza Martínez, M.N., Castro Ochoa, N.d.,...,Wolff, A. (2007). Cover Contact Graphs. Lecture Notes in Computer Science, 4875, 171-182.. |
Ficheros | Tamaño | Formato | Ver | Descripción |
---|---|---|---|---|
Cover contact.pdf | 378.5Kb | [PDF] | Ver/ | |