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ICALP
2009
Springer
14 years 5 months ago
SDP-Based Algorithms for Maximum Independent Set Problems on Hypergraphs
Abstract. This paper deals with approximations of maximum independent sets in non-uniform hypergraphs of low degree. We obtain the first performance ratio that is sublinear in term...
Elena Losievskaja, Geir Agnarsson, Magnús M...
FCT
2005
Springer
13 years 10 months ago
Path Coupling Using Stopping Times
Abstract. We analyse the mixing time of Markov chains using path coupling with stopping times. We apply this approach to two hypergraph problems. We show that the Glauber dynamics ...
Magnus Bordewich, Martin E. Dyer, Marek Karpinski
SODA
2001
ACM
108views Algorithms» more  SODA 2001»
13 years 6 months ago
Approximating coloring and maximum independent sets in 3-uniform hypergraphs
Michael Krivelevich, Ram Nathaniel, Benny Sudakov
SIAMCOMP
2000
109views more  SIAMCOMP 2000»
13 years 4 months ago
Dual-Bounded Generating Problems: Partial and Multiple Transversals of a Hypergraph
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...
Endre Boros, Vladimir Gurvich, Leonid Khachiyan, K...
LATIN
2004
Springer
13 years 10 months ago
Generating Maximal Independent Sets for Hypergraphs with Bounded Edge-Intersections
Given a finite set V , and integers k ≥ 1 and r ≥ 0, denote by A(k, r) the class of hypergraphs A ⊆ 2V with (k, r)-bounded intersections, i.e. in which the intersection of a...
Endre Boros, Khaled M. Elbassioni, Vladimir Gurvic...