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» Coloring H-free hypergraphs
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ICALP
2000
Springer
13 years 9 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...
RSA
2008
78views more  RSA 2008»
13 years 5 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
JGT
2007
69views more  JGT 2007»
13 years 6 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
FSTTCS
2010
Springer
13 years 4 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...
CORR
2010
Springer
74views Education» more  CORR 2010»
13 years 6 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