Efficient parallel and external matching

  • Authors:

  • Marcel Birn;Vitaly Osipov;Peter Sanders;Christian Schulz;Nodari Sitchinava

  • Affiliations:

  • Karlsruhe Institute of Technology, Karlsruhe, Germany;Karlsruhe Institute of Technology, Karlsruhe, Germany;Karlsruhe Institute of Technology, Karlsruhe, Germany;Karlsruhe Institute of Technology, Karlsruhe, Germany;Karlsruhe Institute of Technology, Karlsruhe, Germany

  • Venue:
  • Euro-Par'13 Proceedings of the 19th international conference on Parallel Processing
  • Year:
  • 2013

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Abstract

We study a simple parallel algorithm for computing matchings in a graph. A variant for unweighted graphs finds a maximal matching using linear expected work and ${\mathcal O}{\log^2 n}$ expected running time in the CREW PRAM model. Similar results also apply to External Memory, MapReduce and distributed memory models. In the maximum weight case the algorithm guarantees a 1/2-approximation. Although the parallel execution time is linear for worst case weights, an experimental evaluation indicates good scalabilty on distributed memory machines and on GPUs. Furthermore, the solution quality is very good in practice.