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FOCS
2002
IEEE
14 years 20 days 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
RELMICS
2001
Springer
14 years 4 days ago
Groups in Allegories
Groups are one of the most fundamental notions in mathematics. This paper provides a foundation of group theory in allegories. Almost all results in the paper can be applied to the...
Yasuo Kawahara
FOCS
2004
IEEE
13 years 11 months ago
The Hardness of Metric Labeling
The Metric Labeling problem is an elegant and powerful mathematical model capturing a wide range of classification problems. The input to the problem consists of a set of labels a...
Julia Chuzhoy, Joseph Naor
TLCA
2009
Springer
14 years 2 months ago
A Logical Foundation for Environment Classifiers
Taha and Nielsen have developed a multi-stage calculus λα with a sound type system using the notion of environment classifiers. They are special identifiers, with which code fr...
Takeshi Tsukada, Atsushi Igarashi
WG
2005
Springer
14 years 1 months ago
Computing the Tutte Polynomial on Graphs of Bounded Clique-Width
The Tutte polynomial is a notoriously hard graph invariant, and efficient algorithms for it are known only for a few special graph classes, like for those of bounded tree-width. Th...
Omer Giménez, Petr Hlinený, Marc Noy