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» Two-coloring Random Hypergraphs
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CCCG
2010
13 years 7 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
ICC
2008
IEEE
142views Communications» more  ICC 2008»
14 years 6 days ago
Maximal Scheduling in a Hypergraph Model for Wireless Networks
— We introduce a hypergraph based interference model for scheduling in wireless networks. As a generalization of the graph model, hypergraph considers the conflicts caused by su...
Qiao Li, Gyouhwan Kim, Rohit Negi
RSA
1998
105views more  RSA 1998»
13 years 5 months ago
The chromatic numbers of random hypergraphs
: For a pair of integers 1F␥-r, the ␥-chromatic number of an r-uniform Ž .hypergraph Hs V, E is the minimal k, for which there exists a partition of V into subsets < <T ...
Michael Krivelevich, Benny Sudakov
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
COCOON
2006
Springer
13 years 7 months ago
Creation and Growth of Components in a Random Hypergraph Process
Denote by an -component a connected b-uniform hypergraph with k edges and k(b - 1) - vertices. We prove that the expected number of creations of -component during a random hypergr...
Vlady Ravelomanana, Alphonse Laza Rijamamy