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» Coloring H-free hypergraphs
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ICALP
2000
Springer
15 years 5 months ago
Two-coloring Random Hypergraphs
: A 2-coloring of a hypergraph is a mapping from its vertex set to a set of two colors such that no edge is monochromatic. Let H = H k n p be a random k-uniform hypergraph on a ver...
Dimitris Achlioptas, Jeong Han Kim, Michael Krivel...
86
Voted
RSA
2008
78views more  RSA 2008»
15 years 1 months ago
How many random edges make a dense hypergraph non-2-colorable?
: We study a model of random uniform hypergraphs, where a random instance is obtained by adding random edges to a large hypergraph of a given density. The research on this model fo...
Benny Sudakov, Jan Vondrák
106
Voted
JGT
2007
69views more  JGT 2007»
15 years 1 months ago
The size of minimum 3-trees
A 3-uniform hypergraph is called a minimum 3-tree, if for any 3-coloring of its vertex set there is a heterochromatic triple and the hypergraph has the minimum possible number of ...
Jorge L. Arocha, Joaquín Tey
100
Voted
FSTTCS
2010
Springer
14 years 11 months ago
Colored Hypergraph Isomorphism is Fixed Parameter Tractable
We describe a fixed parameter tractable (fpt) algorithm for Colored Hypergraph Isomorphism which has running time 2O(b) NO(1) , where the parameter b is the maximum size of the col...
Vikraman Arvind, Bireswar Das, Johannes Köble...
81
Voted
CORR
2010
Springer
74views Education» more  CORR 2010»
15 years 1 months ago
Conflict-Free Coloring and its Applications
Let H = (V, E) be a hypergraph. A conflict-free coloring of H is an assignment of colors to V such that in each hyperedge e E there is at least one uniquely-colored vertex. This ...
Shakhar Smorodinsky