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APPROX
2009
Springer
107views Algorithms» more  APPROX 2009»
14 years 4 months ago
Hierarchy Theorems for Property Testing
Referring to the query complexity of property testing, we prove the existence of a rich hierarchy of corresponding complexity classes. That is, for any relevant function q, we prov...
Oded Goldreich, Michael Krivelevich, Ilan Newman, ...
CCCG
2009
13 years 11 months ago
On Graph Thickness, Geometric Thickness, and Separator Theorems
We investigate the relationship between geometric thickness and the thickness, outerthickness, and arboricity of graphs. In particular, we prove that all graphs with arboricity tw...
Christian A. Duncan
DM
2000
91views more  DM 2000»
13 years 9 months ago
Three distance theorem and grid graph
We will prove a d-dimensional version of the Geelen and Simpson theorem. c 2000 Elsevier Science B.V. All rights reserved.
Nicolas Chevallier
GECCO
2000
Springer
113views Optimization» more  GECCO 2000»
14 years 1 months ago
A Non-Linear Schema Theorem for Genetic Algorithms
We generalize Holland's Schema Theorem to the setting that genes are arranged, not necessarily in a linear sequence, but as the nodes in a connected graph. We have experiment...
William A. Greene
CPC
2007
76views more  CPC 2007»
13 years 9 months ago
Strong Isometric Dimension, Biclique Coverings, and Sperner's Theorem
The strong isometric dimension of a graph G is the least number k such that G isometrically embeds into the strong product of k paths. Using Sperner’s Theorem, the strong isomet...
Dalibor Froncek, Janja Jerebic, Sandi Klavzar, Pet...