In this paper we prove the following result about vertex list colourings, which shows that a conjecture of the first author (1999, J. Graph Theory 31, 149-153) is asymptotically correct. Let G be a graph with the sets of lists SΓ°vΓ; satisfying that for every vertex jSΓ°vΓj ΒΌ Γ°1 ΓΎ oΓ°1ΓΓd and for each
The list colouring constants
β Scribed by Reed, Bruce
- Publisher
- John Wiley and Sons
- Year
- 1999
- Tongue
- English
- Weight
- 167 KB
- Volume
- 31
- Category
- Article
- ISSN
- 0364-9024
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β¦ Synopsis
We present a conjecture concerning list colourings and prove a weakened form of it.
π SIMILAR VOLUMES
This paper exploits the remarkable new method of Galvin (J. Combin. Theory Ser. B 63 (1995), 153 158), who proved that the list edge chromatic number /$ list (G) of a bipartite multigraph G equals its edge chromatic number /$(G). It is now proved here that if every edge e=uw of a bipartite multigrap
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