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arXiv · 1102.1275

Space crossing numbers

Boris Bukh·Alfredo Hubard
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Abstract

We define the crossing number for an embedding of a graph G into R^3, and prove a lower bound on it which almost implies the classical crossing lemma. We also give sharp bounds on the space crossing numbers of pseudo-random graphs.

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Boris Bukh, Alfredo Hubard. 2011-08-12. Space crossing numbers. https://arxiv.org/abs/1102.1275

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