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Crossing Numbers of Beyond-Planar Graphs Revisited

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Abstract

Graph drawing beyond planarity focuses on drawings of high visual quality for non-planar graphs which are characterized by certain forbidden edge configurations. A natural criterion for the quality of a drawing is the number of edge crossings. The question then arises whether beyond-planar drawings have a significantly larger crossing number than unrestricted drawings. Chimani et al. [GD’19] gave bounds for the ratio between the crossing number of three classes of beyond-planar graphs and the unrestricted crossing number. In this paper we extend their results to the main currently known classes of beyond-planar graphs characterized by forbidden edge configurations and answer several of their open questions.
Original languageEnglish
Pages36:1-36:7
Number of pages7
Publication statusPublished - 7 Apr 2021
Event37th European Workshop on Computational Geometry (EuroCG 2021) - Online, Saint Petersburg, Russian Federation
Duration: 7 Apr 2021 → 9 Apr 2021
Conference number: 37

Workshop

Workshop37th European Workshop on Computational Geometry (EuroCG 2021)
Abbreviated titleEuroCG 2021
Country/TerritoryRussian Federation
CitySaint Petersburg
Period7/04/21 → 9/04/21

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