Compatible Matchings for Bichromatic Plane Straight-line Graphs

نویسندگان

  • Oswin Aichholzer
  • Ferran Hurtado
  • Birgit Vogtenhuber
چکیده

Two plane graphs with the same vertex set are compatible if their union is again a plane graph. We consider bichromatic plane straight-line graphs with vertex set S consisting of the same number of red and blue points, and (perfect) matchings which are compatible to them. For several different classes C of graphs, we present lower and upper bounds such that any given graph G(S) ∈ C admits a compatible (perfect) matching with this many disjoint edges.

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تاریخ انتشار 2012