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The mv-decomposition: definition and application to the distance-2 broadcast problem in multi-hops radio networks

  • Olivier Cogis
  • Benoît Darties
  • Sylvain Durand
  • Jean-Claude König
  • Geneviève Simonet
Part of the IFIP International Federation for Information Processing book series (IFIPAICT, volume 273)

We present a new tool called the ”mv- decomposition”, and we describe some interesting algorithmic properties about it. We propose an algorithm with a complexity of $O(m)$ to build a mv-decomposition for each bipartite graph. We use this mv-decomposition to propose a solution to the distance-2 broadcast problem in a synchronous multi-hops radio networks where adjacent transmissions are subject to interferences. More precisely, we propose two algorithms of resolution: the first one guarantees a complete distance-2 broadcast scheme using $O((log n )2)$ slots for a time complexity of $O (m (log n)2)$, while the second builds a solution with a minimal number of transmissions for a time complexity of $O(m)$.

Keywords

Radio Network Time Complexity Source Node Bipartite Graph Minimal Cover 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© IFIP International Federation for Information Processing 2008

Authors and Affiliations

  • Olivier Cogis
    • 1
  • Benoît Darties
    • 1
  • Sylvain Durand
    • 1
  • Jean-Claude König
    • 1
  • Geneviève Simonet
    • 1
  1. 1.LIRMM UMR5506 - UniversitéMontpellier II - 16134392 Montpellier Cedex 05France

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