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arxiv: 1502.02557 · v1 · pith:MYAQUZ7Cnew · submitted 2015-02-09 · 💻 cs.DS · cs.GT· cs.SI

List Colouring Big Graphs On-Line

classification 💻 cs.DS cs.GTcs.SI
keywords on-linecolouringgraphslistseveralalternateclassconjecture
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In this paper, we investigate the problem of graph list colouring in the on-line setting. We provide several results on paintability of graphs in the model introduced by Schauz [13] and Zhu [20]. We prove that the on-line version of Ohba's conjecture is true in the class of planar graphs. We also consider several alternate on-line list colouring models.

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