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» The chromatic numbers of random hypergraphs
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RSA
2008
125views more  RSA 2008»
15 years 5 months ago
The game chromatic number of random graphs
: Given a graph G and an integer k, two players take turns coloring the vertices of G one by one using k colors so that neighboring vertices get different colors. The first player ...
Tom Bohman, Alan M. Frieze, Benny Sudakov
CORR
2012
Springer
193views Education» more  CORR 2012»
14 years 1 months ago
Approximate Counting of Matchings in Sparse Hypergraphs
Abstract. In this paper we give a fully polynomial randomized approximation scheme (FPRAS) for the number of all matchings in hypergraphs belonging to a class of sparse, uniform hy...
Marek Karpinski, Andrzej Rucinski, Edyta Szymanska
159
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APPROX
2004
Springer
125views Algorithms» more  APPROX 2004»
15 years 11 months ago
Strong Refutation Heuristics for Random k-SAT
A simple first moment argument shows that in a randomly chosen k-SAT formula with m clauses over n boolean variables, the fraction of satisfiable clauses is 1−2−k +o(1) as m/...
Amin Coja-Oghlan, Andreas Goerdt, André Lan...
COMBINATORICS
2000
124views more  COMBINATORICS 2000»
15 years 5 months ago
Colouring Planar Mixed Hypergraphs
A mixed hypergraph is a triple H = (V, C, D) where V is the vertex set and C and D are families of subsets of V , the C-edges and D-edges, respectively. A k-colouring of H is a ma...
André Kündgen, Eric Mendelsohn, Vitaly...