Channel dependent interference and decentralized colouring
Clifford, P. and Leith, D. J. (2007) Channel dependent interference and decentralized colouring. In: Proceedings of the First EuroFGI International Conference, NET-COOP 2007, Avignon, France, June 5-7, 2007. Lecture Notes in Computer Science, 4465 . Springer Berlin / Heidelberg, pp. 95-104. ISBN 978-3-540-72708-8
We consider channel allocation to mitigate interference be- tween wireless LANs. The channel allocation task is often formulated in the literature as finding a proper colouring of a single graph. We show that the interference between WLANs can be channel dependent in which case a different conflict graph is associated with each channel. Channel allocation then corresponds to a multi-graph colouring problem. This potentially has profound implications as the behaviour of many proposed colouring-based algorithms for channel allocation is unclear in a multi-graph context. We prove that a recently proposed decentralized colouring algorithm performs correctly in the multi-graph setting. We also present a new, extended version of this algorithm suited to a wide range of multi-radio architectures.
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