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» The chromatic numbers of random hypergraphs
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FOCS
2004
IEEE
15 years 1 months ago
Extracting Randomness Using Few Independent Sources
In this work we give the first deterministic extractors from a constant number of weak sources whose entropy rate is less than 1/2. Specifically, for every > 0 we give an expl...
Boaz Barak, Russell Impagliazzo, Avi Wigderson
CORR
2010
Springer
190views Education» more  CORR 2010»
14 years 9 months ago
Overlap properties of geometric expanders
The overlap number of a finite (d + 1)-uniform hypergraph H is the largest constant c(H) (0, 1] such that no matter how we map the vertices of H into Rd , there is a point covered...
Jacob Fox, Mikhail Gromov, Vincent Lafforgue, Assa...
IS
2010
14 years 8 months ago
Extracting a largest redundancy-free XML storage structure from an acyclic hypergraph in polynomial time
Given a hypergraph and a set of embedded functional dependencies, we investigate the problem of determining the conditions under which we can efficiently generate redundancy-free ...
Wai Yin Mok, Joseph Fong, David W. Embley
PPDP
2009
Springer
15 years 4 months ago
An embedded declarative data transformation language
We introduce a logic programming framework for data type transformations based on isomorphisms between elementary data types (natural numbers, finite functions, sets and permutat...
Paul Tarau
COMBINATORICS
2007
77views more  COMBINATORICS 2007»
14 years 9 months ago
Enumeration and Asymptotic Properties of Unlabeled Outerplanar Graphs
We determine the exact and asymptotic number of unlabeled outerplanar graphs. The exact number gn of unlabeled outerplanar graphs on n vertices can be computed in polynomial time,...
Manuel Bodirsky, Éric Fusy, Mihyun Kang, St...