id: 05148476 dt: a an: 05148476 au: Czygrinow, Andrzej; Hańćkowiak, Michał; Szymańska, Edyta ti: Distributed approximation algorithms for planar graphs. so: Calamoneri, Tiziana (ed.) et al., Algorithms and complexity. 6th Italian conference, CIAC 2006, Rome, Italy, May 29‒31, 2006. Proceedings. Berlin: Springer (ISBN 3-540-34375-X/pbk). Lecture Notes in Computer Science 3998, 296-307 (2006). py: 2006 pu: Berlin: Springer la: EN cc: ut: ci: li: doi:10.1007/11758471_29 ab: Summary: In this paper we construct two distributed algorithms for computing approximations of a largest matching and a minimum dominating set in planar graphs on $n$ vertices. The approximation ratio in both cases approaches one with $n$ tending to infinity and the number of synchronous communication rounds is poly-logarithmic in $n$. Our algorithms are purely deterministic. rv: