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» On generalized Kneser hypergraph colorings
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JCT
2007
112views more  JCT 2007»
14 years 10 months ago
On generalized Kneser hypergraph colorings
In Ziegler (2002), the second author presented a lower bound for the chromatic numbers of hypergraphs KGr sssS, “generalized r-uniform Kneser hypergraphs with intersection multi...
Carsten E. M. C. Lange, Günter M. Ziegler
FOCS
2002
IEEE
15 years 3 months ago
The Hardness of 3 - Uniform Hypergraph Coloring
We prove that coloring a 3-uniform 2-colorable hypergraph with c colors is NP-hard for any constant c. The best known algorithm [20] colors such a graph using O(n1/5 ) colors. Our...
Irit Dinur, Oded Regev, Clifford D. Smyth
WAOA
2004
Springer
141views Algorithms» more  WAOA 2004»
15 years 3 months ago
Strong Colorings of Hypergraphs
Abstract. A strong vertex coloring of a hypergraph assigns distinct colors to vertices that are contained in a common hyperedge. This captures many previously studied graph colorin...
Geir Agnarsson, Magnús M. Halldórsso...
SIAMDM
2008
123views more  SIAMDM 2008»
14 years 10 months ago
Adapted List Coloring of Graphs and Hypergraphs
We introduce and study adapted list coloring of graphs and hypergraphs. This is a generalization of ordinary list coloring and adapted coloring, and has more applications than thes...
Alexandr V. Kostochka, Xuding Zhu
EJC
2007
14 years 10 months ago
Link complexes of subspace arrangements
Abstract. Given a simplicial hyperplane arrangement H and a subspace arrangement A embedded in H, we define a simplicial complex ∆A,H as the subdivision of the link of A induced...
Axel Hultman