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Abstract: Property testing is a relaxation of decision problems in which it is required to distinguish YES-instances (i.e., objects having a predetermined property) from instances that are far from any YES-instance. We presents three theorems regarding testing graph properties in the adjacency matrix representation. More specifically, these theorems relate to the project of characterizing graph properties according to the complexity of testing them (in the adjacency matrix representation). The first... (Update)
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BibTeX entry: (Update)
O. Goldreich and L. Trevisan. Three theorems regarding testing graph properties. In Proceedings of the 42th IEEE Symposium on Foundations of Computer Science, pages 460-469. IEEE, Nevada, 2001. http://citeseer.ist.psu.edu/goldreich03three.html More
@inproceedings{ goldreich01three,
author = "Oded Goldreich and Luca Trevisan",
title = "Three Theorems Regarding Testing Graph Properties",
booktitle = "{IEEE} Symposium on Foundations of Computer Science",
pages = "460-469",
year = "2001",
url = "citeseer.ist.psu.edu/goldreich03three.html" }
Citations (may not include all citations):957 The probabilistic method (context) - Alon, Spencer - 1992
167 Property testing and its connection to learning and approxim.. - Goldreich, Goldwasser et al. - 1998
138 Small-bias probability spaces: Efficient constructions and a.. - Naor, Naor - 1993
128 Simple constructions of almost k-wise independent random var.. - Alon, Goldreich et al. - 1992
115 Robust characterization of polynomials with applications to .. - Rubinfeld, Sudan - 1996
30 Efficient testing of large graphs - Alon, Fischer et al. - 2000
14 Three theorems regarding testing graph properties - Goldreich, Trevisan - 2001
7 Discrete Math (context) - Alon, Krivelevich et al. - 2002
6 Sampling algorithms: Lower bounds and applications (context) - Bar-Yossef, Kumar et al. - 2001
3 Combinatorial property testing---a survey - Goldreich - 1998
1 Property testing (a tutorial (context) - Ron - 2001
1 On properties closed under taking induced subgraphs (context) - Alon - 2001
The graph only includes citing articles where the year of publication is known.
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