Hanani-Tutte and monotone drawings
WG'11 Proceedings of the 37th international conference on Graph-Theoretic Concepts in Computer Science
GD'11 Proceedings of the 19th international conference on Graph Drawing
GD'11 Proceedings of the 19th international conference on Graph Drawing
Toward a theory of planarity: hanani-tutte and planarity variants
GD'12 Proceedings of the 20th international conference on Graph Drawing
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Let G be a graph drawn in the plane so that its edges are represented by x-monotone curves, any pair of which cross an even number of times. We show that G can be redrawn in such a way that the x-coordinates of the vertices remain unchanged and the edges become non-crossing straight-line segments. © 2004 Wiley Periodicals, Inc. J Graph Theory 46: 39–47, 2004