Crossing Numbers of Beyond-Planar Graphs Revisited
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...
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Main Authors | , , |
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Format | Journal Article |
Language | English |
Published |
26.05.2021
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Subjects | |
Online Access | Get full text |
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Summary: | 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. |
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DOI: | 10.48550/arxiv.2105.12452 |