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» Introduction to Testing Graph Properties
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STOC
2005
ACM
96views Algorithms» more  STOC 2005»
14 years 7 months ago
Every monotone graph property is testable
A graph property is called monotone if it is closed under taking (not necessarily induced) subgraphs (or, equivalently, if it is closed under removal of edges and vertices). Many ...
Noga Alon, Asaf Shapira
APPROX
2011
Springer
249views Algorithms» more  APPROX 2011»
12 years 7 months ago
A Canonical Form for Testing Boolean Function Properties
In a well-known result Goldreich and Trevisan (2003) showed that every testable graph property has a “canonical” tester in which a set of vertices is selected at random and the...
Dana Dachman-Soled, Rocco A. Servedio
STOC
2006
ACM
168views Algorithms» more  STOC 2006»
14 years 7 months ago
A combinatorial characterization of the testable graph properties: it's all about regularity
A common thread in all the recent results concerning the testing of dense graphs is the use of Szemer?edi's regularity lemma. In this paper we show that in some sense this is...
Noga Alon, Eldar Fischer, Ilan Newman, Asaf Shapir...
ECCC
2008
122views more  ECCC 2008»
13 years 7 months ago
Every Minor-Closed Property of Sparse Graphs is Testable
Testing a property P of graphs in the bounded degree model is the following computational problem: given a graph G of bounded degree d we should distinguish (with probability 0.9,...
Itai Benjamini, Oded Schramm, Asaf Shapira
FOCS
2005
IEEE
14 years 1 months ago
A Characterization of the (natural) Graph Properties Testable with One-Sided Error
The problem of characterizing all the testable graph properties is considered by many to be the most important open problem in the area of property-testing. Our main result in thi...
Noga Alon, Asaf Shapira