# Local Multicoloring Algorithms: Computing a Nearly-Optimal TDMA Schedule in Constant Time

Abstract : The described multicoloring problem has direct applications in the context of wireless ad hoc and sensor networks. In order to coordinate the access to the shared wireless medium, the nodes of such a network need to employ some medium access control (MAC) protocol. Typical MAC protocols control the access to the shared channel by time (TDMA), frequency (FDMA), or code division multiple access (CDMA) schemes. Many channel access schemes assign a fixed set of time slots, frequencies, or (orthogonal) codes to the nodes of a network such that nodes that interfere with each other receive disjoint sets of time slots, frequencies, or code sets. Finding a valid assignment of time slots, frequencies, or codes hence directly corresponds to computing a multicoloring of a graph $G$. The scarcity of bandwidth, energy, and computing resources in ad hoc and sensor networks, as well as the often highly dynamic nature of these networks require that the multicoloring can be computed based on as little and as local information as possible.
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Susanne Albers and Jean-Yves Marion. 26th International Symposium on Theoretical Aspects of Computer Science STACS 2009, Feb 2009, Freiburg, Germany. IBFI Schloss Dagstuhl, pp.613-624, 2009, Proceedings of the 26th Annual Symposium on the Theoretical Aspects of Computer Science
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Soumis le : mercredi 11 février 2009 - 12:08:19
Dernière modification le : mercredi 29 novembre 2017 - 10:27:37
Document(s) archivé(s) le : mardi 8 juin 2010 - 20:38:33

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• HAL Id : inria-00360237, version 1
• ARXIV : 0902.1868

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Fabian Kuhn. Local Multicoloring Algorithms: Computing a Nearly-Optimal TDMA Schedule in Constant Time. Susanne Albers and Jean-Yves Marion. 26th International Symposium on Theoretical Aspects of Computer Science STACS 2009, Feb 2009, Freiburg, Germany. IBFI Schloss Dagstuhl, pp.613-624, 2009, Proceedings of the 26th Annual Symposium on the Theoretical Aspects of Computer Science. 〈inria-00360237〉

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