Abstract | ||
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For loopless multigraphs G, the total choice number is asymptotically its fractional counterpart as the latter invariant tends to infinity. If G is embedded in the plane, then the edge-face and entire choice numbers exhibit the same "asymptotically good" behaviour. These results are based mainly on an analogous theorem of Kahn [5] for the list-chromatic index. Together with work of Kahn and others, our three results give a complete answer to a natural question: which of the seven invariants associated with list-colouring the nonempty subsets of {V, E, F} axe asymptotically good? |
Year | Venue | Field |
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2001 | ARS COMBINATORIA | Discrete mathematics,Mathematical economics,Mathematics |
DocType | Volume | ISSN |
Journal | 60 | 0381-7032 |
Citations | PageRank | References |
1 | 0.39 | 0 |
Authors | ||
1 |
Name | Order | Citations | PageRank |
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P. Mark Kayll | 1 | 65 | 8.34 |