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ICALP
2000
Springer
13 years 9 months ago
Two-coloring Random Hypergraphs
: A 2-coloring of a hypergraph is a mapping from its vertex set to a set of two colors such that no edge is monochromatic. Let H = H k n p be a random k-uniform hypergraph on a ver...
Dimitris Achlioptas, Jeong Han Kim, Michael Krivel...
FOCS
1998
IEEE
13 years 9 months ago
Improved Bounds and Algorithms for Hypergraph Two-Coloring
Jaikumar Radhakrishnan, Aravind Srinivasan
CORR
2012
Springer
173views Education» more  CORR 2012»
12 years 1 months ago
A new approach to the orientation of random hypergraphs
A h-uniform hypergraph H = (V, E) is called ( , k)-orientable if there exists an assignment of each hyperedge e ∈ E to exactly of its vertices v ∈ e such that no vertex is ass...
Marc Lelarge
CORR
2012
Springer
193views Education» more  CORR 2012»
12 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
CORR
2007
Springer
98views Education» more  CORR 2007»
13 years 5 months ago
The Three-Color and Two-Color Tantrix(TM) Rotation Puzzle Problems are NP-Complete via Parsimonious Reductions
Abstract. Holzer and Holzer [7] proved that the TantrixTM rotation puzzle problem with four colors is NP-complete, and they showed that the infinite variant of this problem is und...
Dorothea Baumeister, Jörg Rothe