Journal or Book Title
Journal of Combinatorial Theory, Series B
We give a new proof of the fact that every planar graph is 5-choosable, and use it to show that every graph drawn in the plane so that the distance between every pair of crossings is at least 15 is 5-choosable. At the same time we may allow some vertices to have lists of size four only, as long as they are far apart and far from the crossings.
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Dvořák, Zdeněk; Lidicky, Bernard; and Mohar, Bojan, "5-choosability of graphs with crossings far apart" (2017). Mathematics Publications. 124.