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CVPR
2005
IEEE
15 years 11 months ago
Beyond Pairwise Clustering
We consider the problem of clustering in domains where the affinity relations are not dyadic (pairwise), but rather triadic, tetradic or higher. The problem is an instance of the ...
Sameer Agarwal, Jongwoo Lim, Lihi Zelnik-Manor, Pi...
STACS
2009
Springer
15 years 4 months ago
Approximating Acyclicity Parameters of Sparse Hypergraphs
The notions of hypertree width and generalized hypertree width were introduced by Gottlob, Leone, and Scarcello in order to extend the concept of hypergraph acyclicity. These noti...
Fedor V. Fomin, Petr A. Golovach, Dimitrios M. Thi...
LION
2007
Springer
138views Optimization» more  LION 2007»
15 years 3 months ago
A Continuous Characterization of Maximal Cliques in k-Uniform Hypergraphs
Abstract. In 1965 Motzkin and Straus established a remarkable connection between the local/global maximizers of the Lagrangian of a graph G over the standard simplex ∆ and the ma...
Samuel Rota Bulò, Marcello Pelillo
CAP
2010
14 years 4 months ago
Parallel computation of the minimal elements of a poset
Computing the minimal elements of a partially ordered finite set (poset) is a fundamental problem in combinatorics with numerous applications such as polynomial expression optimiz...
Charles E. Leiserson, Marc Moreno Maza, Liyun Li, ...
FOCS
2002
IEEE
15 years 2 months ago
The Hardness of 3 - Uniform Hypergraph Coloring
We prove that coloring a 3-uniform 2-colorable hypergraph with c colors is NP-hard for any constant c. The best known algorithm [20] colors such a graph using O(n1/5 ) colors. Our...
Irit Dinur, Oded Regev, Clifford D. Smyth