## Abstract Matrix symmetrization and several related problems have an extensive literature, with a recurring ambiguity regarding their complexity and relation to graph isomorphism. We present a short survey of these problems to clarify their status. In particular, we recall results from the litera
Hypergraphs with independent neighborhoods
β Scribed by Tom Bohman; Alan Frieze; Dhruv Mubayi; Oleg Pikhurko
- Publisher
- Springer-Verlag
- Year
- 2010
- Tongue
- English
- Weight
- 529 KB
- Volume
- 30
- Category
- Article
- ISSN
- 0209-9683
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract We obtain lower bounds on the size of a maximum matching in a graph satisfying the condition |__N(X)__| β₯ __s__ for every independent set __X__ of __m__ vertices, thus generalizing results of Faudree, Gould, Jacobson, and Schelp for the case __m__ = 2.
We discuss approximation algorithms for the coloring problem and the maximum independent set problem in 3-uniform hypergraphs. An algorithm for coloring Λ1r5 Ε½ . ## 3-uniform 2-colorable hypergraphs in O n colors is presented, improving previously known results. Also, for every fixed β₯ ) 1r2, we
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