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The Orchard crossing number of an abstract graph

Elie Feder·David Garber
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Abstract

We introduce the Orchard crossing number, which is defined in a similar way to the well-known rectilinear crossing number. We compute the Orchard crossing number for some simple families of graphs. We also prove some properties of this crossing number. Moreover, we define a variant of this crossing number which is tightly connected to the rectilinear crossing number, and compute it for some simple families of graphs.

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Elie Feder, David Garber. 2009-04-23. The Orchard crossing number of an abstract graph. https://arxiv.org/abs/math/0303317

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