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» Two-coloring Random Hypergraphs
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82
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CCCG
2010
15 years 1 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
105
Voted
ICC
2008
IEEE
142views Communications» more  ICC 2008»
15 years 6 months 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»
14 years 11 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
73
Voted
RSA
2008
78views more  RSA 2008»
14 years 11 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
15 years 1 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