Maximum Matchings via Gaussian Elimination

  • Authors:
  • Marcin Mucha;Piotr Sankowski

  • Affiliations:
  • Warsaw University;Warsaw University

  • Venue:
  • FOCS '04 Proceedings of the 45th Annual IEEE Symposium on Foundations of Computer Science
  • Year:
  • 2004

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Abstract

We present randomized algorithms for finding maximum matchings in general and bipartite graphs. Both algorithms have running time O(n^\omega), where \omega is the exponent of the best known matrix multiplication algorithm. Since \omega