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CORR
2010
Springer
144views Education» more  CORR 2010»
14 years 8 months ago
Choosability in geometric hypergraphs
Given a hypergraph H = (V, E), a coloring of its vertices is said to be conflict-free if for every hyperedge S ∈ E there is at least one vertex in S whose color is distinct fro...
Panagiotis Cheilaris, Shakhar Smorodinsky
DMTCS
2011
261views Mathematics» more  DMTCS 2011»
13 years 9 months ago
An expected polynomial time algorithm for coloring 2-colorable 3-graphs
Abstract. We present an algorithm that for 2-colorable 3-uniform hypergraphs, finds a 2-coloring in average running time O(n5 log2 n).
Yury Person, Mathias Schacht
SIAMDM
2008
123views more  SIAMDM 2008»
14 years 9 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
JCT
2007
112views more  JCT 2007»
14 years 9 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
67
Voted
CCCG
2010
14 years 11 months ago
Coloring geometric hypergraph defined by an arrangement of half-planes
We prove that any finite set of half-planes can be colored by two colors so that every point of the plane, which belongs to at least three half-planes in the set, is covered by ha...
Radoslav Fulek