2005 European Conference on Combinatorics, Graph Theory and Applications (EuroComb '05)
Stefan Felsner (ed.)
DMTCS Conference Volume AE (2005), pp. 193198
author:  Ross J. Kang, Tobias Müller and JeanSébastien Sereni 

title:  Improper colouring of (random) unit disk graphs 
keywords:  improper colouring, unit disk graphs, random unit disk graphs, radio channel assignment 
abstract: 
For any graph
G
, the
k
improper chromatic number
χ
is the smallest number of colours used in a colouring
of
k
(G)
G
such that each colour class induces a subgraph of
maximum degree
k
. We investigate the ratio of the
k
improper chromatic number to the clique number for
unit disk graphs and random unit disk graphs to extend
results of [McRe99, McD03] (where they considered only
proper colouring).

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reference:  Ross J. Kang and Tobias Müller and JeanSébastien Sereni (2005), Improper colouring of (random) unit disk graphs, in 2005 European Conference on Combinatorics, Graph Theory and Applications (EuroComb '05), Stefan Felsner (ed.), Discrete Mathematics and Theoretical Computer Science Proceedings AE, pp. 193198 
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