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exact_matching_parity (569B)


      1 # Exact matching parity
      2 
      3 - in [bipartite_graphs], can decide in [PTIME] whether there is a [perfect_matching] with an even number of red edges
      4   - proof in [datta2010perfect]
      5   - generalization to [maximum_matching]
      6     - https://cstheory.stackexchange.com/a/41357
      7   - unknown for other moduli?
      8   - unknown for non-bipartite graphs?
      9 - for general graphs and constant number of colors it can be done in [PTIME]
     10   - [RP] algorithm from [mulmuley1987matching]
     11   - cf [marx2004list]
     12   - https://cstheory.stackexchange.com/a/41343
     13 
     14 Up: [matching_variants], [exact_matching]