Title
Complexity and dimension
Abstract
Mahaney's Theorem states that there are no sparse NP-complete problems if P not equal NP. We propose an adaptation of that theorem to the Blum-Shub-Smale model of computation of the reals with addition and equality. In that setting, sparseness is defined in terms of topological dimension instead of cardinality. (C) 1997 Elsevier Science B.V.
Year
DOI
Venue
1997
10.1016/S0020-0190(97)00060-4
Inf. Process. Lett.
Keywords
Field
DocType
np complete problem,decision tree,model of computation,computational complexity
Decision tree,Discrete mathematics,NP-complete,Combinatorics,Lebesgue covering dimension,Cardinality,Model of computation,Mathematics,Computational complexity theory
Journal
Volume
Issue
ISSN
62
4
0020-0190
Citations 
PageRank 
References 
5
0.86
1
Authors
3
Name
Order
Citations
PageRank
Felipe Cucker166668.99
Pascal Koiran2919113.85
Martín Matamala315821.63