Paths coloring algorithms in mesh networks

  • Authors:
  • Mustapha Kchikech;Olivier Togni

  • Affiliations:
  • LE2I, UMR CNRS, Université de Bourgogne, Dijon Cedex, France;LE2I, UMR CNRS, Université de Bourgogne, Dijon Cedex, France

  • Venue:
  • DMTCS'03 Proceedings of the 4th international conference on Discrete mathematics and theoretical computer science
  • Year:
  • 2003

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Abstract

In this paper, we will consider the problem of coloring directed paths on a mesh network. A natural application of this graph problem is WDM-routing in all-optical networks. Our main result is a simple 4-approximation algorithm for coloring line-column paths on a mesh. We also present sharper results when there is a restriction on the path lengths. Moreover, we show that these results can be extended to toroidal meshes and to line-column or column-line paths.