International Symposium on Graph Drawing and Network Visualization

Graph Drawing and Network Visualization pp 281-294 | Cite as

2-Layer Fan-Planarity: From Caterpillar to Stegosaurus

  • Carla Binucci
  • Markus Chimani
  • Walter Didimo
  • Martin Gronemann
  • Karsten Klein
  • Jan Kratochvíl
  • Fabrizio Montecchiani
  • Ioannis G. Tollis
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 9411)

Abstract

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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Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  • Carla Binucci
    • 1
  • Markus Chimani
    • 2
  • Walter Didimo
    • 1
  • Martin Gronemann
    • 3
  • Karsten Klein
    • 4
  • Jan Kratochvíl
    • 5
  • Fabrizio Montecchiani
    • 1
  • Ioannis G. Tollis
    • 6
  1. 1.Università Degli Studi di PerugiaPerugiaItaly
  2. 2.Osnabrück UniversityOsnabrückGermany
  3. 3.University of CologneCologneGermany
  4. 4.Monash UniversityMelbourneAustralia
  5. 5.Charles UniversityPragueCzech Republic
  6. 6.University of Crete and Institute of Computer Science-FORTHCreteGreece

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