English

Node coloring for dense wireless sensor networks

Networking and Internet Architecture 2011-04-12 v1

Abstract

Coloring is used in wireless networks to improve communication efficiency, mainly in terms of bandwidth, energy and possibly end-to-end delays. In this research report, we define the h-hop node coloring problem, with h any positive integer. We prove that the associated decision problem is NP-complete. We then present a 3-hop distributed coloring algorithm that is optimized for dense networks: a node does not need to exchange the priorities and colors of its 2-hop neighbors. Through simulation results, we highlight the impact of priority assignment on the number of colors obtained for any network. We then focus on grids and identify a color pattern that can be reproduced to color the whole grid. We show how the coloring algorithm can use regularity properties to obtain a periodic color pattern with the optimal number of colors. We then consider grids with holes and study how to extend our results.

Keywords

Cite

@article{arxiv.1104.1859,
  title  = {Node coloring for dense wireless sensor networks},
  author = {Ichrak Amdouni and Pascale Minet and Cédric Adjih},
  journal= {arXiv preprint arXiv:1104.1859},
  year   = {2011}
}
R2 v1 2026-06-21T17:52:10.201Z