Distributed fractional packing and maximum weighted b-matching via tail-recursive duality

  • Authors:
  • Christos Koufogiannakis;Neal E. Young

  • Affiliations:
  • Department of Computer Science, University of California, Riverside;Department of Computer Science, University of California, Riverside

  • Venue:
  • DISC'09 Proceedings of the 23rd international conference on Distributed computing
  • Year:
  • 2009

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Abstract

We present efficient distributed δ-approximation algorithms for FRACTIONAL PACKING AND MAXIMUM WEIGHTED b-MATCHING in hypergraphs, where δ is the maximum number of packing constraints in which a variable appears (for MAXIMUM WEIGHTED b-MATCHING δ is the maximum edge degree -- for graphs δ = 2). (a) For δ = 2 the algorithm runs in O(logm) rounds in expectation and with high probability. (b) For general δ, the algorithm runs in O(log2 m) rounds in expectation and with high probability.