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arXiv 1502.02557cs.DScs.GTcs.SI
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在线列表着色大图

List Colouring Big Graphs On-Line

Martin Derka, Alejandro López-Ortiz, Daniela Maftuleac

摘要:

本文研究了在线环境下的图表着色问题。我们给出了Schauz [13]和Zhu [20]引入的模型中图的可画性的几个结果。我们证明了Ohba猜想的在线版本在平面图类中是正确的。我们还考虑了几个替代在线列表着色模型。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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