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We show that the list chromatic number of a simple d-regular r-uniform hypergraph is at least (1/2r log(2r2) + o(1)) log d if d is large.
[1]Alon, N. (1993) Restricted colorings of graphs. In Surveys in Combinatorics 1993, Vol. 187 of London Mathematical Society Lecture Notes (Walker, K., ed.), Cambridge University Press, pp. 1–33.Google Scholar
[3]Alon, N. and Kostochka, A. Hypergraph list coloring and Euclidean Ramsey theory. Random Struct. Alg. (to appear).Google Scholar
[4]
[4]Alon, N. and Kostochka, A. Dense uniform hypergraphs have high list chromatic number. Discrete Mathematics, (in press).Google Scholar
[5]
[5]Erdős, P., Rubin, A. L. and Taylor, H. (1979) Choosability in graphs. In Proc. West Coast Conference on Combinatorics, Graph Theory and Computing, Congressus NumerantiumXXVI125–157.Google Scholar
[6]
[6]Haxell, P. and Pei, M. (2009) On list coloring Steiner triple systems. J. Combin. Designs17314–322.Google Scholar
[7]
[7]Haxell, P. and Verstraëte, J. (2010) List coloring hypergraphs. Electron. J. Combin.17#R129.CrossRefGoogle Scholar
[8]
[8]Saxton, D. and Thomason, A. In preparation.Google Scholar
[9]
[9]Vizing, V. G. (1976) Coloring the vertices of a graph in prescribed colors (in Russian). Diskret. Anal.293–10.Google Scholar