TY - JOUR A1 - Atienza, Nieves A1 - de Castro, Natalia A1 - Cortés, Carmen A1 - Garrido, M. Ángeles A1 - Grima, Clara I. A1 - Hernández, Gregorio A1 - Márquez, Alberto A1 - Moreno-González, Auxiliadora A1 - Nöllenburg, Martin A1 - Portillo, José Ramón A1 - Reyes, Pedro A1 - Valenzuela, Jesús A1 - Trinidad Villar, Maria A1 - Wolff, Alexander T1 - Cover contact graphs N2 - We study problems that arise in the context of covering certain geometric objects called seeds (e.g., points or disks) by a set of other geometric objects 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, respectively, but they can touch. We call the contact graph of a cover a cover contact graph (CCG). We are interested in three types of tasks, both in the general case and in the special case of seeds on a line: (a) deciding whether a given seed set has a connected CCG, (b) deciding whether a given graph has a realization as a CCG on a given seed set, and (c) bounding the sizes of certain classes of CCG’s. Concerning (a) we give efficient algorithms for the case that seeds are points and show that the problem becomes hard if seeds and covers are disks. Concerning (b) we show that this problem is hard even for point seeds and disk covers (given a fixed correspondence between graph vertices and seeds). Concerning (c) we obtain upper and lower bounds on the number of CCG’s for point seeds. KW - Informatik Y1 - 2012 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:bvb:20-opus-78845 ER -