Lecture Notes in Computer Science
DOI: 10.1007/978-3-540-72709-5_10
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Channel Dependent Interference and Decentralized Colouring

Abstract: Abstract. We consider channel allocation to mitigate interference between 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 alg… Show more

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Cited by 8 publications
(6 citation statements)
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“…Several solutions, based mainly on graph theory, have been proposed trying to consider these constraints on communication. This solution requires decentralised algorithms for channel selection, see [16], [17], [18].…”
Section: B Channel Selection Algorithmsmentioning
confidence: 99%
“…Several solutions, based mainly on graph theory, have been proposed trying to consider these constraints on communication. This solution requires decentralised algorithms for channel selection, see [16], [17], [18].…”
Section: B Channel Selection Algorithmsmentioning
confidence: 99%
“…This work builds upon the works of the early work of Clifford and Leith [16], then refined and extended by Leith et al [17], Duffy et al [1]; they present a fully decentralised CFL, proven to solve a large class of problems that include graph coloring, but without sensing restrictions.…”
Section: Related Workmentioning
confidence: 99%
“…Consider the stochastic learning algorithm, introduced by Clifford and Leith [16], described in Algorithm 1 with the only difference here of envisaging sensing restrictions. An instance of this algorithm is run in parallel for every variable.…”
Section: Solving Coloring Problems With Sensing Restrictions 51 Algomentioning
confidence: 99%
“…To handle spectrum reusability, a buyer grouping step has been applied in many existing spectrum auction schemes, in which the buyer's interference conditions are modelled as conflict graph. Since channel characteristics are dependent on the frequency used, we can expect that the shape of the interference regions will be channel dependent [10], so we use channel‐dependent interference graphs. Of course, since the channels of each spectrum type show similar propagation and quality characteristics, we assume that these channels are homogeneous and have a same interference graph.…”
Section: Auction Designmentioning
confidence: 99%