List Colouring Big Graphs On-Line

February 09, 2015 Β· Declared Dead Β· πŸ› arXiv.org

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Authors Martin Derka, Alejandro LΓ³pez-Ortiz, Daniela Maftuleac arXiv ID 1502.02557 Category cs.DS: Data Structures & Algorithms Cross-listed cs.GT, cs.SI Citations 1 Venue arXiv.org Last Checked 4 months ago
Abstract
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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