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arxiv: 1605.04690 · v1 · pith:CNXI5YWQnew · submitted 2016-05-16 · 🧮 math.CO

Multiple list colouring of planar graphs

classification 🧮 math.CO
keywords planarcolouringgraphslistmultiplechoosableconcerningconjectures
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This paper proves that for each positive integer $m$, there is a planar graph $G$ which is not $(4m+\lfloor \frac{2m-1}{9}\rfloor,m)$-choosable. Then we pose some conjectures concerning multiple list colouring of planar graphs.

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