Title
Choosability with Separation of Complete Multipartite Graphs and Hypergraphs.
Abstract
For a hypergraph G and a positive integer s, let chi l(G,s) be the minimum value of l such that G is L-colorable from every list L with |L(v)|=l for each v is an element of V(G) and |L(u)boolean AND L(v)|<= s for all u,v is an element of e is an element of E(G). This parameter was studied by Kratochvil, Tuza, and Voigt for various kinds of graphs. Using randomized constructions we find the asymptotics of chi l(G,s) for balanced complete multipartite graphs and for complete k-partite k-uniform hypergraphs.
Year
DOI
Venue
2014
10.1002/jgt.21754
JOURNAL OF GRAPH THEORY
Keywords
DocType
Volume
05C15,hypergraphs,separation,multipartite graphs,list coloring
Journal
76.0
Issue
ISSN
Citations 
2.0
0364-9024
2
PageRank 
References 
Authors
0.43
0
3
Name
Order
Citations
PageRank
Zoltán Füredi11237233.60
Alexandr V. Kostochka268289.87
Mohit Kumbhat3233.62