The Number of Bits Needed to Represent a Unit Disk Graph.

We prove that for sufficiently large n, there exist unit disk graphs on n vertices such that for every representation with disks in the plane at least c√n bits are needed to write down the coordinates of the centers of the disks, for some c> 1. We also show that dn bits always suffice, for so...

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Detalhes bibliográficos
Main Authors: McDiarmid, C, Müller, T
Outros Autores: Thilikos, D
Formato: Journal article
Idioma:English
Publicado em: 2010