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» The Complexity of Unions of Disjoint Sets
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COCO
2004
Springer
84views Algorithms» more  COCO 2004»
14 years 1 months ago
Properties of NP-Complete Sets
We study several properties of sets that are complete for NP. We prove that if L is an NP-complete set and S ⊇ L is a p-selective sparse set, then L − S is ≤p m-hard for NP....
Christian Glaßer, Aduri Pavan, Alan L. Selma...
CORR
2007
Springer
76views Education» more  CORR 2007»
13 years 7 months ago
Optimizing diversity
We consider the problem of minimizing the size of a set system G such that every subset of {1, . . . , n} can be written as a disjoint union of at most k members of G, where k and...
Yannick Frein, Benjamin Lévêque, Andr...
MLQ
1998
103views more  MLQ 1998»
13 years 7 months ago
Versions of Normality and Some Weak Forms of the Axiom of Choice
Abstract. We investigate the set theoretical strength of some properties of normality, including Urysohn’s Lemma, Tietze-Urysohn Extension Theorem, normality of disjoint unions o...
Paul E. Howard, Kyriakos Keremedis, Herman Rubin, ...
MFCS
2009
Springer
14 years 2 months ago
A Complexity Dichotomy for Finding Disjoint Solutions of Vertex Deletion Problems
We investigate the computational complexity of a general “compression task” centrally occurring in the recently developed technique of iterative compression for exactly solving...
Michael R. Fellows, Jiong Guo, Hannes Moser, Rolf ...
CORR
2010
Springer
143views Education» more  CORR 2010»
13 years 7 months ago
Parikh Images of Regular Languages: Complexity and Applications
We show that the Parikh image of the language of an NFA with n states over an alphabet of size k can be described as a finite union of linear sets with at most k generators and to...
Anthony Widjaja To