37 search results - page 4 / 8 » Independent Sets in Bounded-Degree Hypergraphs |
SIAMCOMP
2000
14 years 9 months ago
2000
Abstract. We consider two natural generalizations of the notion of transversal to a finite hypergraph, arising in data-mining and machine learning, the so called multiple and parti...
APPROX
2008
Springer
14 years 11 months ago
2008
Springer
For every fixed 0, we give an algorithm that, given an n-vertex 3-uniform hypergraph containing an independent set of size n, finds an independent set of size n(2 ) . This improv...
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CORR
2010
Springer
14 years 9 months ago
2010
Springer
The overlap number of a finite (d + 1)-uniform hypergraph H is the largest constant c(H) (0, 1] such that no matter how we map the vertices of H into Rd , there is a point covered...
JCT
2011
14 years 4 months ago
2011
The neighborhood of a pair of vertices u, v in a triple system is the set of vertices w such that uvw is an edge. A triple system H is semi-bipartite if its vertex set contains a ...
DM
2008
14 years 9 months ago
2008
We prove that the number of minimal transversals (and also the number of maximal independent sets) in a 3-uniform hypergraph with n vertices is at most cn , where c