Communications of the ACM
Using dual approximation algorithms for scheduling problems theoretical and practical results
Journal of the ACM (JACM)
Checking computations in polylogarithmic time
STOC '91 Proceedings of the twenty-third annual ACM symposium on Theory of computing
Self-testing/correcting for polynomials and for approximate functions
STOC '91 Proceedings of the twenty-third annual ACM symposium on Theory of computing
Efficient probabilistically checkable proofs and applications to approximations
STOC '93 Proceedings of the twenty-fifth annual ACM symposium on Theory of computing
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
Improved non-approximability results
STOC '94 Proceedings of the twenty-sixth annual ACM symposium on Theory of computing
Polynomial time approximation schemes for dense instances of NP-hard problems
STOC '95 Proceedings of the twenty-seventh annual ACM symposium on Theory of computing
MAX-CUT has a randomized approximation scheme in dense graphs
Random Structures & Algorithms
Interactive proofs and the hardness of approximating cliques
Journal of the ACM (JACM)
Testing of the long code and hardness for clique
STOC '96 Proceedings of the twenty-eighth annual ACM symposium on Theory of computing
Some optimal inapproximability results
STOC '97 Proceedings of the twenty-ninth annual ACM symposium on Theory of computing
Property testing in bounded degree graphs
STOC '97 Proceedings of the twenty-ninth annual ACM symposium on Theory of computing
Probabilistic checking of proofs: a new characterization of NP
Journal of the ACM (JACM)
STOC '98 Proceedings of the thirtieth annual ACM symposium on Theory of computing
Recycling queries in PCPs and in linearity tests (extended abstract)
STOC '98 Proceedings of the thirtieth annual ACM symposium on Theory of computing
Proof verification and the hardness of approximation problems
Journal of the ACM (JACM)
Testing problems with sub-learning sample complexity
COLT' 98 Proceedings of the eleventh annual conference on Computational learning theory
Free Bits, PCPs, and Nonapproximability---Towards Tight Results
SIAM Journal on Computing
Property testing and its connection to learning and approximation
Journal of the ACM (JACM)
Graph Algorithms
Robust Characterizations of Polynomials withApplications to Program Testing
SIAM Journal on Computing
SIAM Journal on Discrete Mathematics
Testing the Diameter of Graphs
RANDOM-APPROX '99 Proceedings of the Third International Workshop on Approximation Algorithms for Combinatorial Optimization Problems: Randomization, Approximation, and Combinatorial Algorithms and Techniques
Improved Testing Algorithms for Monotonicity
RANDOM-APPROX '99 Proceedings of the Third International Workshop on Approximation Algorithms for Combinatorial Optimization Problems: Randomization, Approximation, and Combinatorial Algorithms and Techniques
FOCS '98 Proceedings of the 39th Annual Symposium on Foundations of Computer Science
Efficient Testing of Large Graphs
FOCS '99 Proceedings of the 40th Annual Symposium on Foundations of Computer Science
Clique is hard to approximate within n1-
FOCS '96 Proceedings of the 37th Annual Symposium on Foundations of Computer Science
Probabilistically checkable proofs and the testing of hadamard-like codes
Probabilistically checkable proofs and the testing of hadamard-like codes
Linearity testing in characteristic two
IEEE Transactions on Information Theory - Part 1
On testable properties in bounded degree graphs
SODA '07 Proceedings of the eighteenth annual ACM-SIAM symposium on Discrete algorithms
Separating Sublinear Time Computations by Approximate Diameter
COCOA 2008 Proceedings of the 2nd international conference on Combinatorial Optimization and Applications
TAMC '09 Proceedings of the 6th Annual Conference on Theory and Applications of Models of Computation
Theoretical Computer Science
Property testing
Property testing
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We consider the task of evaluating properties of graphs that are too big to be even scanned. Thus, the input graph is given in form of an oracle which answers questions of the form is there an edge between vertices u and υ, or who is the ith neighbor of υ. Our task is to determine whether a given input graph has a predetermined property or is "relatively far" from any graph having the property. Distance between graphs is measured as the fraction of the possible queries on which the corresponding oracles, representing the two graphs, differ. We show that randomized algorithms of running-time substantially smaller than the size of the input graph may reach (with high probability) a correct verdict regarding whether the graph has some predetermined property (such as being bipartite) or is far from having it.