2-Layer Fan-Planarity: From Caterpillar to Stegosaurus

نویسندگان

  • Carla Binucci
  • Markus Chimani
  • Walter Didimo
  • Martin Gronemann
  • Karsten Klein
  • Jan Kratochvíl
  • Fabrizio Montecchiani
  • Ioannis G. Tollis
چکیده

In a fan-planar drawing of a graph there is no edge that crosses two other independent edges. We study 2-layer fan-planar drawings, i.e., fan-planar drawings such that the vertices are assigned to two distinct horizontal layers and edges are straight-line segments that connect vertices of different layers. We characterize 2-layer fan-planar drawable graphs and describe a linear-time testing and embedding algorithm for biconnected graphs. We also study the relationship between 2-layer fan-planar graphs and 2-layer right-angle crossing graphs.

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تاریخ انتشار 2015