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» Quantum query complexity of minor-closed graph properties
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APPROX
2009
Springer
107views Algorithms» more  APPROX 2009»
15 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, ...
FCT
2005
Springer
15 years 3 months ago
On the Black-Box Complexity of Sperner's Lemma
We present several results on the complexity of various forms of Sperner’s Lemma in the black-box model of computing. We give a deterministic algorithm for Sperner problems over ...
Katalin Friedl, Gábor Ivanyos, Miklos Santh...
CCCG
2004
14 years 11 months ago
Local properties of geometric graphs
We propose a definition of locality for properties of geometric graphs. We measure the local density of graphs using region-counting distances [8] between pairs of vertices, and w...
Jean Cardinal, Sébastien Collette, Stefan L...
APPROX
2009
Springer
85views Algorithms» more  APPROX 2009»
15 years 4 months ago
Algorithmic Aspects of Property Testing in the Dense Graphs Model
In this paper we consider two basic questions regarding the query complexity of testing graph properties in the adjacency matrix model. The first question refers to the relation ...
Oded Goldreich, Dana Ron
APPROX
2008
Springer
75views Algorithms» more  APPROX 2008»
14 years 11 months ago
On the Query Complexity of Testing Orientations for Being Eulerian
We consider testing directed graphs for being Eulerian in the orientation model introduced in [15]. Despite the local nature of the property of being Eulerian, it turns out to be ...
Eldar Fischer, Oded Lachish, Ilan Newman, Arie Mat...