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APPROX
2009
Springer

Algorithmic Aspects of Property Testing in the Dense Graphs Model

10 years 8 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 between adaptive and non-adaptive testers, whereas the second question refers to testability within complexity that is inversely proportional to the proximity parameter, denoted . The study of these questions reveals the importance of algorithmic design (also) in this model. The highlights of our study are: • A gap between the complexity of adaptive and non-adaptive testers. Specifically, there exists a (natural) graph property that can be tested using O( −1 ) adaptive queries, but cannot be tested using o( −3/2 ) non-adaptive queries. • In contrast, there exist natural graph properties that can be tested using O( −1 ) nonadaptive queries, whereas Ω( −1 ) queries are required even in the adaptive case. We mention that the properties used in the foregoing conflicting results have a similar fla...
Oded Goldreich, Dana Ron
Added 25 May 2010
Updated 25 May 2010
Type Conference
Year 2009
Where APPROX
Authors Oded Goldreich, Dana Ron
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