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» On the Chromatic Thresholds of Hypergraphs
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ICS
2010
Tsinghua U.
13 years 10 months ago
Bounds on the Quantum Satisfiability Threshold
Quantum k-SAT is the problem of deciding whether there is a n-qubit state which is perpendicular to a set of vectors, each of which lies in the Hilbert space of k qubits. Equivale...
Sergey Bravyi, Cristopher Moore, Alexander Russell
CAIP
2009
Springer
117views Image Analysis» more  CAIP 2009»
14 years 10 days ago
A Hypergraph-Based Model for Graph Clustering: Application to Image Indexing
Abstract. In this paper, we introduce a prototype-based clustering algorithm dealing with graphs. We propose a hypergraph-based model for graph data sets by allowing clusters overl...
Salim Jouili, Salvatore Tabbone
EJC
2007
13 years 5 months ago
Link complexes of subspace arrangements
Abstract. Given a simplicial hyperplane arrangement H and a subspace arrangement A embedded in H, we define a simplicial complex ∆A,H as the subdivision of the link of A induced...
Axel Hultman
IPL
1998
95views more  IPL 1998»
13 years 5 months ago
Coloring Random Graphs
An equitable coloring of a graph is a proper vertex coloring such that the sizes of any two color classes differ by at most one. The least positive integer k for which there exis...
Michael Krivelevich, Benny Sudakov
COMBINATORICS
2006
131views more  COMBINATORICS 2006»
13 years 5 months ago
Encores on Cores
We give a new derivation of the threshold of appearance of the k-core of a random graph. Our method uses a hybrid model obtained from a simple model of random graphs based on rand...
Julie Cain, Nicholas C. Wormald