Gap-Planar Graphs

@inproceedings{Bae2017GapPlanarG,
  title={Gap-Planar Graphs},
  author={Sang Won Bae and Jean-François Baffier and Jinhee Chun and Peter Eades and Kord Eickmeyer and Luca Grilli and Seok-Hee Hong and Matias Korman and Fabrizio Montecchiani and Ignaz Rutter and Csaba D. T{\'o}th},
  booktitle={Graph Drawing},
  year={2017}
}
We introduce the family of k-gap-planar graphs for \(k \ge 0\), i.e., graphs that have a drawing in which each crossing is assigned to one of the two involved edges and each edge is assigned at most k of its crossings. This definition finds motivation in edge casing, as a \(k\)-gap-planar graph can be drawn crossing-free after introducing at most k local gaps per edge. We obtain results on the maximum density, drawability of complete graphs, complexity of the recognition problem, and… 
Gap-planar graphs
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