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...
— 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...
: 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 ...
: 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...
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...