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FOCS
2002
IEEE
15 years 3 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
RELMICS
2001
Springer
15 years 2 months 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
15 years 1 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
15 years 4 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
15 years 3 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