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» Counting Independent Sets Using the Bethe Approximation
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JCT
2007
117views more  JCT 2007»
15 years 1 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
16 years 1 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...
RANDOM
1998
Springer
15 years 5 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 7 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
15 years 2 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...