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» Counting Independent Sets Using the Bethe Approximation
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JCT
2007
117views more  JCT 2007»
14 years 9 months ago
Large independent sets in regular graphs of large girth
Let G be a d-regular graph with girth g, and let α be the independence number of G. We show that α(G) ≥ 1 2 1 − (d − 1)−2/(d−2) − (g) n where (g) → 0 as g → ∞,...
Joseph Lauer, Nicholas C. Wormald
ICALP
2009
Springer
15 years 9 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...
56
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RANDOM
1998
Springer
15 years 1 months ago
A Derandomization Using Min-Wise Independent Permutations
abstract for submission to Random '98 not for distribution Andrei Z. Broder Moses Charikar Michael Mitzenmacher Min-wise independence is a recently introduced notion of limit...
Andrei Z. Broder, Moses Charikar, Michael Mitzenma...
HYBRID
2007
Springer
15 years 3 months ago
Approximation of the Joint Spectral Radius of a Set of Matrices Using Sum of Squares
We provide an asymptotically tight, computationally efficient approximation of the joint spectral radius of a set of matrices using sum of squares (SOS) programming. The approach i...
Pablo A. Parrilo, Ali Jadbabaie
AAAI
1997
14 years 11 months ago
Bayes Networks for Estimating the Number of Solutions to a CSP
The problem of counting the number of solutions to a constraint satisfaction problem (CSP) is rephrased in terms of probability updating in Bayes networks. Approximating the proba...
Amnon Meisels, Solomon Eyal Shimony, Gadi Solotore...