New Exact Results and Bounds for Bipartite Crossing Numbers of Meshes

نویسندگان

  • Matthew Newton
  • Ondrej Sýkora
  • Martin Uzovic
  • Imrich Vrto
چکیده

The bipartite crossing number of a bipartite graph is the minimum number of crossings of edges when the partitions are placed on two parallel lines and edges are drawn as straigh line segments between the lines. We prove exact results, asymtotics and new upper bounds for the bipartite crossing numbers of 2-dimensional mesh graphs. Especially we show that bcr(P6 × Pn) = 35n − 47, for n ≥ 7.

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تاریخ انتشار 2004