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VCM: the vector-based coloring method for grid wireless ad hoc and sensor networks

Published: 21 October 2012 Publication History

Abstract

Graph coloring is used in wireless ad hoc and sensor networks to optimize network resources: bandwidth and energy. Nodes access the medium according to their color. It is the responsibility of the coloring algorithm to ensure that interfering nodes do not have the same color. In this paper, we focus on wireless ad hoc and sensor networks with grid topologies. How does a coloring algorithm take advantage of the regularity of grid topology to provide an optimal periodic coloring, that is a coloring with the minimum number of colors? We propose the Vector-Based Coloring Method, denoted VCM, a new method that is able to provide an optimal periodic coloring for any radio transmission range and for any h-hop coloring, he1. In h-hop coloring, no nodes that are p-hop away, with 1 d p d h use the same color. This method consists in determining where a color can be reproduced in the grid without creating interferences while minimizing the number of colors used. We compare the number of colors provided by VCM with the number of colors obtained by a distributed coloring algorithm with line and column priority assignments. Finally, we discuss the applicability of this method to a real wireless network.

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Cited By

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  • (2016)Delay analysis of STDMA in grid wireless sensor networks2016 International Conference on Military Communications and Information Systems (ICMCIS)10.1109/ICMCIS.2016.7496580(1-8)Online publication date: May-2016
  • (2014)Delay and Energy-Efficient STDMA for Grid Wireless Sensor NetworksProceedings of the 2014 IEEE 11th International Conference on Mobile Ad Hoc and Sensor Systems10.1109/MASS.2014.83(262-266)Online publication date: 28-Oct-2014

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      cover image ACM Conferences
      MSWiM '12: Proceedings of the 15th ACM international conference on Modeling, analysis and simulation of wireless and mobile systems
      October 2012
      428 pages
      ISBN:9781450316286
      DOI:10.1145/2387238
      Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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      Published: 21 October 2012

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      Author Tags

      1. chromatic number bounds
      2. graph coloring
      3. grid
      4. lattice
      5. optimal coloring
      6. periodic coloring
      7. valid coloring
      8. vector-based method
      9. wireless sensor networks

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      View all
      • (2016)Delay analysis of STDMA in grid wireless sensor networks2016 International Conference on Military Communications and Information Systems (ICMCIS)10.1109/ICMCIS.2016.7496580(1-8)Online publication date: May-2016
      • (2014)Delay and Energy-Efficient STDMA for Grid Wireless Sensor NetworksProceedings of the 2014 IEEE 11th International Conference on Mobile Ad Hoc and Sensor Systems10.1109/MASS.2014.83(262-266)Online publication date: 28-Oct-2014

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