Crossing numbers

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Abstract

The crossing number of a graph G is the minimum number of crossings in a drawing of G. The determination of the crossing number is an NP-complete problem. We present two general lower bounds for the crossing number, and survey their applications and generalizations.

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Pach, J. (2000). Crossing numbers. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 1763, pp. 267–273). Springer Verlag. https://doi.org/10.1007/978-3-540-46515-7_23

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