Algorithmic Aspects of Property Testing in the Dense Graphs Model

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[1]  Dana Ron,et al.  Property testing and its connection to learning and approximation , 1998, JACM.

[2]  Dana Ron,et al.  Testing the diameter of graphs , 1999, RANDOM-APPROX.

[3]  Noga Alon,et al.  Testing subgraphs in large graphs , 2001, Proceedings 2001 IEEE International Conference on Cluster Computing.

[4]  Dana Ron,et al.  On the Benefits of Adaptivity in Property Testing of Dense Graphs , 2010, Algorithmica.

[5]  Luca Trevisan,et al.  Three Theorems regarding Testing Graph Properties , 2001, Electron. Colloquium Comput. Complex..

[6]  Noga Alon,et al.  A characterization of easily testable induced subgraphs , 2004, SODA '04.

[7]  E. Fischer THE ART OF UNINFORMED DECISIONS: A PRIMER TO PROPERTY TESTING , 2004 .

[8]  Eldar Fischer On the strength of comparisons in property testing , 2004, Inf. Comput..

[9]  Ronitt Rubinfeld,et al.  Robust Characterizations of Polynomials with Applications to Program Testing , 1996, SIAM J. Comput..

[10]  Dana Ron,et al.  Property Testing: A Learning Theory Perspective , 2007, COLT.

[11]  Dana Ron,et al.  Property Testing , 2000 .

[12]  Sofya Raskhodnikova,et al.  A Note on Adaptivity in Testing Properties of Bounded Degree Graphs , 2006, Electron. Colloquium Comput. Complex..

[13]  Eli Ben-Sasson,et al.  3CNF Properties are Hard to Test , 2003, Electron. Colloquium Comput. Complex..

[14]  Dana Ron,et al.  Property Testing in Bounded Degree Graphs , 2002, STOC '97.

[15]  Andrew Chi-Chih Yao,et al.  Probabilistic computations: Toward a unified measure of complexity , 1977, 18th Annual Symposium on Foundations of Computer Science (sfcs 1977).

[16]  Noga Alon,et al.  Efficient Testing of Large Graphs , 2000, 40th Annual Symposium on Foundations of Computer Science (Cat. No.99CB37039).

[17]  Dana Ron,et al.  On proximity oblivious testing , 2009, STOC '09.

[18]  Noga Alon,et al.  A combinatorial characterization of the testable graph properties: it's all about regularity , 2006, STOC '06.

[19]  Oded Goldreich,et al.  On the lowest level of query complexity in testing graph properties , 2009 .

[20]  Y Groner,et al.  The Weizmann Institute of Science , 1962, Nature.

[21]  Ran Canetti,et al.  Lower Bounds for Sampling Algorithms for Estimating the Average , 1995, Inf. Process. Lett..

[22]  Yacov Yacobi,et al.  The Complexity of Promise Problems with Applications to Public-Key Cryptography , 1984, Inf. Control..

[23]  Dana Ron,et al.  Algorithmic and Analysis Techniques in Property Testing , 2010, Found. Trends Theor. Comput. Sci..

[24]  Luca Trevisan,et al.  Lower bounds for testing bipartiteness in dense graphs , 2004, Proceedings. 19th IEEE Annual Conference on Computational Complexity, 2004..

[25]  Dana Ron,et al.  Tight Bounds for Testing Bipartiteness in General Graphs , 2004, RANDOM-APPROX.

[26]  Noga Alon,et al.  Testing of bipartite graph properties ∗ , 2005 .

[27]  M. A. Perles ON THE NUMBER OF SUBGRAPHS OF PRESCRIBED TYPE OF GRAPHS WITH A GIVEN NUMBER OF EDGES* , 2007 .