Title
Asymptotically Good Choice Numbers Of Multigraphs
Abstract
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
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
P. Mark Kayll1658.34