Self-testing/correcting with applications to numerical problems
Journal of Computer and System Sciences - Special issue: papers from the 22nd ACM symposium on the theory of computing, May 14–16, 1990
The algorithmic aspects of the regularity lemma
Journal of Algorithms
Property testing and its connection to learning and approximation
Journal of the ACM (JACM)
Testing graphs for colorable properties
SODA '01 Proceedings of the twelfth annual ACM-SIAM symposium on Discrete algorithms
Robust Characterizations of Polynomials withApplications to Program Testing
SIAM Journal on Computing
Three theorems regarding testing graph properties
Random Structures & Algorithms
Every monotone graph property is testable
Proceedings of the thirty-seventh annual ACM symposium on Theory of computing
The Difficulty of Testing for Isomorphism against a Graph That Is Given in Advance
SIAM Journal on Computing
Tolerant Versus Intolerant Testing for Boolean Properties
CCC '05 Proceedings of the 20th Annual IEEE Conference on Computational Complexity
Additive Approximation for Edge-Deletion Problems
FOCS '05 Proceedings of the 46th Annual IEEE Symposium on Foundations of Computer Science
A Characterization of the (natural) Graph Properties Testable with One-Sided Error
FOCS '05 Proceedings of the 46th Annual IEEE Symposium on Foundations of Computer Science
SODA '06 Proceedings of the seventeenth annual ACM-SIAM symposium on Discrete algorithm
A combinatorial characterization of the testable graph properties: it's all about regularity
Proceedings of the thirty-eighth annual ACM symposium on Theory of computing
Tolerant property testing and distance approximation
Journal of Computer and System Sciences
Testing whether a digraph contains H-free k-induced subgraphs
Theoretical Computer Science
Hardness of edge-modification problems
Theoretical Computer Science
Distributed discovery of large near-cliques
DISC'09 Proceedings of the 23rd international conference on Distributed computing
Introduction to testing graph properties
Property testing
Introduction to testing graph properties
Property testing
Introduction to testing graph properties
Studies in complexity and cryptography
Contemplations on testing graph properties
Studies in complexity and cryptography
Property testing and the branching program size of boolean functions
FCT'05 Proceedings of the 15th international conference on Fundamentals of Computation Theory
Distance approximation in bounded-degree and general sparse graphs
APPROX'06/RANDOM'06 Proceedings of the 9th international conference on Approximation Algorithms for Combinatorial Optimization Problems, and 10th international conference on Randomization and Computation
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The topic of tolerant property testing, that of distinguishing input instances that are far from satisfying a property from those that are close enough to satisfying it (as opposed to distinguishing the far instances only from the satisfying instances), has recently become an active topic of research in the field of combinatorial property testing [13]. In the general setting, there exist properties that are testable but not tolerantly testable [10]. However, we show here that in the setting of the dense graph model, all testable properties are not only tolerantly testable, but also admit a constant query size algorithm that estimates the distance from the property up to any fixed additive constant.In the course of the construction of this algorithm we develop a framework for extending Szemerédi's Regularity Lemma, both as a prerequisite for formulating what kind of information about the input graph will provide us with the correct estimation, and as the means for efficiently gathering this information. This work is also connected to the question of finding a combinatorial characterization of the testable graph properties, and to the question of efficiently finding a regular partition.