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The complexity of planar graph choosability. (English) Zbl 0865.05066
Margit Voigt gave examples of a planar graph which is not 4-choosable and a planar triangle-free graph which is not 3-choosable. The present author presents simpler examples. He also proves that the corresponding decision problems for planar graphs are NP-hard.

MSC:
05C85 Graph algorithms (graph-theoretic aspects)
05C15 Coloring of graphs and hypergraphs
68R10 Graph theory (including graph drawing) in computer science
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