Title
5-choosability of graphs with crossings far apart
Abstract
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.
Year
DOI
Venue
2017
10.1016/j.jctb.2016.11.004
Journal of Combinatorial Theory, Series B
Keywords
Field
DocType
Chromatic number,Crossing number,List coloring
Graph,Discrete mathematics,Combinatorics,Crossing number (graph theory),Graph power,Vertex (geometry),List coloring,1-planar graph,Planar graph,Mathematics,Graph coloring
Journal
Volume
ISSN
Citations 
123
0095-8956
3
PageRank 
References 
Authors
0.43
6
3
Name
Order
Citations
PageRank
Zdeněk Dvořák112322.91
Bernard Lidický295.00
Bojan Mohar31523192.05