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graph_matching_covered (381B)

      1 # Matching-covered graph
      2 
      3 A *matching-covered graph* is a [graph] where every [edge] is contained in a [perfect_matching]
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      5 Discussed in [he2017perfect]
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      7 Can be [graph_decomposed] with [bricks] and [braces] by the [tight_cut_decomposition], cf [lovasz1987matching] cited in [he2017perfect]
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      9 Up: [graph]
     10 
     11 See also: [matching]
     12 
     13 Aliases: matching covered graph, matching-covered graph