Differential Methods for Finding Independent Sets in Hypergraphs
β Scribed by Li, Yusheng; Zang, Wenan
- Book ID
- 118199554
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 2006
- Tongue
- English
- Weight
- 151 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0895-4801
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π SIMILAR VOLUMES
In [l] it is proved that an uncrowded (k + 1)-hypergraph of average degree t" contains an independent set of size (cnlt)(ln t ) ' l k . We present a polynomial time algorithm that finds such an independent set by derandomizing the original probabilistic proof. The technique that we use can be applie
We present a randomized parallel algorithm with polylogarithmic expected running time for finding a maximal independent set in a linear hypergraph.
It is well known [9] that finding a maximal independent set in a graph is in class J%, and [lo] that finding a maximal independent set in a hypergraph with fixed dimension is in %JV"%' . It is not known whether this latter problem remains in A% when the dimension is part of the input. We will study