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Volumn 25, Issue 4, 2011, Pages 1562-1588

Sublinear time algorithms

Author keywords

Approximation algorithms; Property testing; Randomized algorithms; Sublinear time algorithms

Indexed keywords

PROPERTY-TESTING; RANDOMIZED ALGORITHMS; SUBLINEAR TIME ALGORITHMS;

EID: 84855660450     PISSN: 08954801     EISSN: None     Source Type: Journal    
DOI: 10.1137/100791075     Document Type: Article
Times cited : (75)

References (119)
  • 1
    • 84855206859 scopus 로고    scopus 로고
    • Information theory in property testing and monotonicity testing in higher dimension
    • DOI 10.1016/j.ic.2006.06.001, PII S0890540106000836
    • N. Ailon and B. Chazelle, Information theory in property testing and monotonicity testing in higher dimensions, Inform. Comput., 204 (2006), pp. 1704-1717. (Pubitemid 44557029)
    • (2006) Information and Computation , vol.204 , Issue.11 , pp. 1704-1717
    • Ailon, N.1    Chazelle, B.2
  • 3
    • 0036437231 scopus 로고    scopus 로고
    • Testing Subgraphs in Large Graphs
    • N. Alon, Testing subgraphs in large graphs, Random Structures Algorithms, 21 (2002), pp. 359-370. (Pubitemid 37340778)
    • (2002) Random Structures and Algorithms , vol.21 , Issue.3-4 , pp. 359-370
    • Alon, N.1
  • 4
    • 78449272771 scopus 로고    scopus 로고
    • On constant time approximation of parameters of bounded degree graphs
    • O. Goldreich, ed., Lecture Notes in Comput. Sci. Springer, New York
    • N. Alon, On constant time approximation of parameters of bounded degree graphs, in Property Testing-Current Research and Surveys, O. Goldreich, ed., Lecture Notes in Comput. Sci. 6390, Springer, New York, 2010, pp. 234-239.
    • (2010) Property Testing-Current Research and Surveys , vol.6390 , pp. 234-239
    • Alon, N.1
  • 7
    • 67650118857 scopus 로고    scopus 로고
    • A combinatorial characterization of the testable graph properties: It's all about regularity
    • N. Alon, E. Fischer, I. Newman, and A. Shapira, A combinatorial characterization of the testable graph properties: It's all about regularity, SIAM J. Comput., 39 (2009), pp. 143-167.
    • (2009) SIAM J. Comput. , vol.39 , pp. 143-167
    • Alon, N.1    Fischer, E.2    Newman, I.3    Shapira, A.4
  • 10
    • 0036487485 scopus 로고    scopus 로고
    • Testing k-colorability
    • DOI 10.1137/S0895480199358655, PII S0895480199358655
    • N. Alon and M. Krivelevich, Testing k-colorability, SIAM J. Discrete Math., 15 (2002), pp. 211-227. (Pubitemid 35327184)
    • (2002) SIAM Journal on Discrete Mathematics , vol.15 , Issue.2 , pp. 211-227
    • Alon, N.1    Krivelevich, M.2
  • 12
    • 4544293969 scopus 로고    scopus 로고
    • Testing subgraphs in directed graphs
    • N. Alon and A. Shapira, Testing subgraphs in directed graphs, J. Comput. System Sci., 69 (2004), pp. 354-382.
    • (2004) J. Comput. System Sci. , vol.69 , pp. 354-382
    • Alon, N.1    Shapira, A.2
  • 13
    • 55249124059 scopus 로고    scopus 로고
    • Every monotone graph property is testable
    • N. Alon and A. Shapira, Every monotone graph property is testable, SIAM J. Comput., 38 (2008), pp. 505-522.
    • (2008) SIAM J. Comput. , vol.38 , pp. 505-522
    • Alon, N.1    Shapira, A.2
  • 14
    • 33750309653 scopus 로고    scopus 로고
    • A characterization of easily testable induced subgraphs
    • DOI 10.1017/S0963548306007759, PII S0963548306007759
    • N. Alon and A. Shapira, A characterization of easily testable induced subgraphs, Combin. Probab. Comput., 15 (2006), pp. 791-805. (Pubitemid 44621823)
    • (2006) Combinatorics Probability and Computing , vol.15 , Issue.6 , pp. 791-805
    • Alon, N.1    Shapira, A.2
  • 15
    • 49649088238 scopus 로고    scopus 로고
    • A characterization of the (natural) graph properties testable with one-sided error
    • N. Alon and A. Shapira, A characterization of the (natural) graph properties testable with one-sided error, SIAM J. Comput., 37 (2008), pp. 1703-1727.
    • (2008) SIAM J. Comput. , vol.37 , pp. 1703-1727
    • Alon, N.1    Shapira, A.2
  • 17
    • 0032058198 scopus 로고    scopus 로고
    • Proof Verification and the Hardness of Approximation Problems
    • S. Arora, C. Lund, R. Motwani, M. Sudan, and M. Szegedy, Proof verification and the hardness of approximation problems, J. ACM, 45 (1998), pp. 501-555. (Pubitemid 128506634)
    • (1998) Journal of the ACM , vol.45 , Issue.3 , pp. 501-555
    • Arora, S.1    Lund, C.2    Motwani, R.3    Sudan, M.4    Szegedy, M.5
  • 19
    • 77953248503 scopus 로고    scopus 로고
    • Testability and repair of hereditary hypergraph properties
    • T. Austin and T. Tao, Testability and repair of hereditary hypergraph properties, Random Struct. Algorithms, 36 (2010), pp. 373-463.
    • (2010) Random Struct. Algorithms , vol.36 , pp. 373-463
    • Austin, T.1    Tao, T.2
  • 21
    • 77955865651 scopus 로고    scopus 로고
    • A sublinear-time algorithm for bin packing
    • T. Batu, P. Berenbrink, and C. Sohler, A sublinear-time algorithm for bin packing, Theoret. Comput. Sci., 410 (2009), pp. 5082-5092.
    • (2009) Theoret. Comput. Sci. , vol.410 , pp. 5082-5092
    • Batu, T.1    Berenbrink, P.2    Sohler, C.3
  • 23
    • 10644273353 scopus 로고    scopus 로고
    • Fast approximate PCPs for multidimensional binpacking problems
    • T. Batu, R. Rubinfeld, and P. White, Fast approximate PCPs for multidimensional binpacking problems, Inform. and Comput., 196 (2005), pp. 42-56.
    • (2005) Inform. and Comput. , vol.196 , pp. 42-56
    • Batu, T.1    Rubinfeld, R.2    White, P.3
  • 26
    • 38049108424 scopus 로고    scopus 로고
    • Non-Abelian homomorphism testing, and distributions close to their self-convolutions
    • M. Ben-Or, D. Coppersmith, M. Luby, and R. Rubinfeld, Non-Abelian homomorphism testing, and distributions close to their self-convolutions, Random Structures Algorithms, 32 (2008), pp. 49-70.
    • (2008) Random Structures Algorithms , vol.32 , pp. 49-70
    • Ben-Or, M.1    Coppersmith, D.2    Luby, M.3    Rubinfeld, R.4
  • 27
    • 55249095082 scopus 로고    scopus 로고
    • Short PCPs with polylog query complexity
    • E. Ben-Sasson and M. Sudan, Short PCPs with polylog query complexity, SIAM J. Comput., 38 (2008), pp. 551-607.
    • (2008) SIAM J. Comput. , vol.38 , pp. 551-607
    • Ben-Sasson, E.1    Sudan, M.2
  • 29
  • 32
    • 0000619172 scopus 로고
    • Self-testing/correcting with applications to numerical problems
    • M. Blum, M. Luby, and R. Rubinfeld, Self-testing/correcting with applications to numerical problems, J. Comput. System Sci., 47 (1993), pp. 549-595.
    • (1993) J. Comput. System Sci. , vol.47 , pp. 549-595
    • Blum, M.1    Luby, M.2    Rubinfeld, R.3
  • 35
    • 34250427250 scopus 로고
    • On the existence of triangulated spheres in 3-graphs and related problems
    • W. G. Brown, P. Erdös, and V. T. Sós, On the existence of triangulated spheres in 3-graphs and related problems, Period. Math. Hungar., 3 (1973), pp. 221-228.
    • (1973) Period. Math. Hungar. , vol.3 , pp. 221-228
    • Brown, W.G.1    Erdös, P.2    Śos, V.T.3
  • 37
    • 33745451951 scopus 로고    scopus 로고
    • Sublinear geometric algorithms
    • DOI 10.1137/S009753970444572X
    • B. Chazelle, D. Liu, and A. Magen, Sublinear geometric algorithms, SIAM J. Comput., 35 (2006), pp. 627-646. (Pubitemid 43952264)
    • (2005) SIAM Journal on Computing , vol.35 , Issue.3 , pp. 627-646
    • Chazelle, B.1    Liu, D.2    Magen, A.3
  • 38
    • 29344458334 scopus 로고    scopus 로고
    • Approximating the minimum spanning tree weight in sublinear time
    • DOI 10.1137/S0097539702403244
    • B. Chazelle, R. Rubinfeld, and L. Trevisan, Approximating the minimum spanning tree weight in sublinear time, SIAM J. Comput., 34 (2005), pp. 1370-1379. (Pubitemid 43003146)
    • (2005) SIAM Journal on Computing , vol.34 , Issue.6 , pp. 1370-1379
    • Chazelle, B.1    Rubinfeld, R.2    Trevisan, L.3
  • 42
    • 78249238019 scopus 로고    scopus 로고
    • Estimating the weight of metric minimum spanning trees in sublinear time
    • A. Czumaj and C. Sohler, Estimating the weight of metric minimum spanning trees in sublinear time, SIAM J. Comput., 39 (2009), pp. 904-922.
    • (2009) SIAM J. Comput. , vol.39 , pp. 904-922
    • Czumaj, A.1    Sohler, C.2
  • 43
    • 65949087650 scopus 로고    scopus 로고
    • Testing hereditary properties of nonexpanding bounded-degree graphs
    • A. Czumaj, A. Shapira, and C. Sohler, Testing hereditary properties of nonexpanding bounded-degree graphs, SIAM J. Comput., 38 (2009), pp. 2499-2510.
    • (2009) SIAM J. Comput. , vol.38 , pp. 2499-2510
    • Czumaj, A.1    Shapira, A.2    Sohler, C.3
  • 44
    • 34250354807 scopus 로고    scopus 로고
    • The PCP theorem by gap amplification
    • I. Dinur, The PCP theorem by gap amplification, J. ACM, 54 (2007), p. 12.
    • (2007) J. ACM , vol.54 , pp. 12
    • Dinur, I.1
  • 46
    • 77954765454 scopus 로고    scopus 로고
    • Parameter testing in bounded degree graphs of subexponential growth
    • G. Elek, Parameter testing in bounded degree graphs of subexponential growth, Random Structures Algorithms, 37 (2010), pp. 248-270.
    • (2010) Random Structures Algorithms , vol.37 , pp. 248-270
    • Elek, G.1
  • 47
    • 0000263626 scopus 로고
    • On circuits and subgraphs of chromatic graphs
    • P. Erdös, On circuits and subgraphs of chromatic graphs, Mathematika, 9 (1962), pp. 170-175.
    • (1962) Mathematika , vol.9 , pp. 170-175
    • Erdös, P.1
  • 49
    • 0036248033 scopus 로고    scopus 로고
    • Checking approximate computations of polynomials and functional equations
    • PII S0097539798337613
    • F. Ergün, S. R. Kumar, and R. Rubinfeld, Checking approximate computations of polynomials and functional equations, SIAM J. Comput, 31 (2001), pp. 550-576. (Pubitemid 33782965)
    • (2001) SIAM Journal on Computing , vol.31 , Issue.2 , pp. 550-576
    • Ergun, F.1    Kumar, S.R.2    Rubinfeld, R.3
  • 50
    • 0001896364 scopus 로고    scopus 로고
    • The art of uninformed decisions: A primer to property testing
    • E. Fischer, The art of uninformed decisions: A primer to property testing, Bull. Eur. Assoc. Theor. Comput. Sci. EATCS, 75 (2001), pp. 97-126.
    • (2001) Bull. Eur. Assoc. Theor. Comput. Sci. EATCS , vol.75 , pp. 97-126
    • Fischer, E.1
  • 51
    • 1342287021 scopus 로고    scopus 로고
    • On the strength of comparisons in property testing
    • E. Fischer, On the strength of comparisons in property testing, Inform. and Comput., 189 (2004), pp. 107-116.
    • (2004) Inform. and Comput. , vol.189 , pp. 107-116
    • Fischer, E.1
  • 53
    • 33244484582 scopus 로고    scopus 로고
    • Sampling in dynamic data streams and applications
    • DOI 10.1145/1064092.1064116, Proceedings of the 21st Annual Symposium on Computational Geometry, SCG'05
    • G. Frahling, P. Indyk, and C. Sohler, Sampling in dynamic data streams and applications, in Proceedings of the 21st ACM Symposium on Computational Geometry, Pisa, Italy, 2005, pp. 142-149. (Pubitemid 43283455)
    • (2005) Proceedings of the Annual Symposium on Computational Geometry , pp. 142-149
    • Frahling, G.1    Indyk, P.2    Sohler, C.3
  • 54
    • 0040942625 scopus 로고    scopus 로고
    • Quick approximation to matrices and applications
    • A. Frieze and R. Kannan, Quick approximation to matrices and applications, Combinatorica, 19 (1999), pp. 175-220.
    • (1999) Combinatorica , vol.19 , pp. 175-220
    • Frieze, A.1    Kannan, R.2
  • 57
    • 42549151549 scopus 로고    scopus 로고
    • Testing versus estimation of graph properties
    • DOI 10.1137/060652324
    • E. Fischer and I. Newman, Testing versus estimation of graph properties, SIAM J. Comput, 37 (2007), pp. 482-501. (Pubitemid 351584854)
    • (2007) SIAM Journal on Computing , vol.37 , Issue.2 , pp. 482-501
    • Fischer, E.1    Newman, I.2
  • 58
    • 0039556135 scopus 로고
    • Computers and intractability: A guide to the theory of npcompleteness
    • San Francisco
    • M. Garey and D. Johnson, Computers and Intractability: A Guide to the Theory of NPCompleteness, W. H. Freeman, San Francisco, 1979.
    • (1979) W. H. Freeman
    • Garey, M.1    Johnson, D.2
  • 61
    • 0032108275 scopus 로고    scopus 로고
    • Property Testing and Its Connection to Learning and Approximation
    • O. Goldreich, S. Goldwasser, and D. Ron, Property testing and its connection to learning and approximation, J. ACM, 45 (1998), pp. 653-750. (Pubitemid 128488791)
    • (1998) Journal of the ACM , vol.45 , Issue.4 , pp. 653-750
    • Goldreich, O.1    Goldwasser, S.2    Ron, D.3
  • 64
    • 0000171993 scopus 로고    scopus 로고
    • Property testing in bounded degree graphs
    • O. Goldreich and D. Ron, Property testing in bounded degree graphs, Algorithmica, 32 (2002), pp. 302-343.
    • (2002) Algorithmica , vol.32 , pp. 302-343
    • Goldreich, O.1    Ron, D.2
  • 65
    • 0040113668 scopus 로고    scopus 로고
    • A sublinear bipartiteness tester for bounded degree graphs
    • O. Goldreich and D. Ron, A sublinear bipartiteness tester for bounded degree graphs, Combinatorica, 19 (1999), pp. 335-373.
    • (1999) Combinatorica , vol.19 , pp. 335-373
    • Goldreich, O.1    Ron, D.2
  • 66
    • 33748921409 scopus 로고    scopus 로고
    • Locally testable codes and PCPs of almost-linear length
    • DOI 10.1145/1162349.1162351
    • O. Goldreich and M. Sudan, Locally testable codes and PCPs of almost-linear length, J. ACM, 53 (2006), pp. 558-655. (Pubitemid 44435052)
    • (2006) Journal of the ACM , vol.53 , Issue.4 , pp. 558-655
    • Goldreich, O.1    Sudan, M.2
  • 68
    • 41549141368 scopus 로고    scopus 로고
    • Hypergraph regularity and the multidimensional Szemerédi theorem
    • T. Gowers, Hypergraph regularity and the multidimensional Szemerédi theorem, Ann. of Math. (2), 166 (2007), pp. 897-946.
    • (2007) Ann. of Math. , vol.2 , Issue.166 , pp. 897-946
    • Gowers, T.1
  • 69
    • 23744478411 scopus 로고    scopus 로고
    • A Szemerédi-type regularity lemma in abelian groups, with applications
    • DOI 10.1007/s00039-005-0509-8
    • B. Green, A Szemerédi-type regularity lemma in Abelian groups, Geom. Funct. Anal., 15 (2005), pp. 340-376. (Pubitemid 41124600)
    • (2005) Geometric and Functional Analysis , vol.15 , Issue.2 , pp. 340-376
    • Green, B.1
  • 72
    • 0242299157 scopus 로고    scopus 로고
    • Simple analysis of graph tests for linearity and PCP
    • J. Hastad and A. Wigderson, Simple analysis of graph tests for linearity and PCP, Random Structures Algorithms, 22 (2003), pp. 139-160.
    • (2003) Random Structures Algorithms , vol.22 , pp. 139-160
    • Hastad, J.1    Wigderson, A.2
  • 76
    • 33748614321 scopus 로고    scopus 로고
    • Almost orthogonal linear codes are locally testable
    • DOI 10.1109/SFCS.2005.16, 1530724, Proceedings - 46th Annual IEEE Symposium on Foundations of Computer Science, FOCS 2005
    • T. Kaufman and S. Litsyn, Almost orthogonal linear codes are locally testable, in Proceedings of the 46th Annual IEEE Symposium on Foundations of Computer Science, Pittsburgh, PA, 2005, pp. 317-326. (Pubitemid 44375742)
    • (2005) Proceedings - Annual IEEE Symposium on Foundations of Computer Science, FOCS , vol.2005 , pp. 317-326
    • Kaufman, T.1    Litsyn, S.2
  • 77
    • 77049098577 scopus 로고    scopus 로고
    • Breaking the-soundness bound of the linearity test over GF 2
    • T. Kaufman, S. Litsyn, and N. Xie, Breaking the-soundness bound of the linearity test over GF(2), SIAM J. Comput., 39 (2010), pp. 1988-2003.
    • (2010) SIAM J. Comput. , vol.39 , pp. 1988-2003
    • Kaufman, T.1    Litsyn, S.2    Xie, N.3
  • 81
    • 23844515833 scopus 로고    scopus 로고
    • Approximate testing with error relative to input size
    • DOI 10.1016/S0022-0000(03)00004-7
    • M. Kiwi, F. Magniez, and M. Santha, Approximate testing with error relative to input size, J. Comput. System Sci., 66 (2003), pp. 371-392. (Pubitemid 41161754)
    • (2003) Journal of Computer and System Sciences , vol.66 , Issue.2 , pp. 371-392
    • Kiwi, M.1    Magniez, F.2    Santha, M.3
  • 83
    • 0031443461 scopus 로고    scopus 로고
    • Covering odd cycles
    • L. Komlós, Covering odd cycles, Combinatorica, 17 (1997), pp. 393-400.
    • (1997) Combinatorica , vol.17 , pp. 393-400
    • Komlós, L.1
  • 86
    • 11144271571 scopus 로고    scopus 로고
    • Tight bounds for testing bipartiteness in general graphs
    • DOI 10.1137/S0097539703436424
    • T. Kaufman, M. Krivelevich, and D. Ron, Tight bounds for testing bipartiteness in general graphs, SIAM J. Comput., 33 (2004), pp. 1441-1483. (Pubitemid 40026771)
    • (2004) SIAM Journal on Computing , vol.33 , Issue.6 , pp. 1441-1483
    • Kaupman, T.1    Krivelevich, M.2    Ron, D.3
  • 88
    • 63249123198 scopus 로고    scopus 로고
    • A combinatorial proof of the removal lemma for groups
    • D. Král', O. Serra, and L. Vena, A combinatorial proof of the removal lemma for groups, J. Combin. Theory Ser. A, 116 (2009), pp. 971-978.
    • (2009) J. Combin. Theory Ser. A , vol.116 , pp. 971-978
    • Král, D.1    Serra, O.2    Vena, L.3
  • 90
    • 0018457301 scopus 로고
    • A separator theorem for planar graphs
    • R. J. Lipton and R. E. Tarjan, A separator theorem for planar graphs, SIAM J. Appl. Math., 36 (1979), pp. 177-189.
    • (1979) SIAM J. Appl. Math. , vol.36 , pp. 177-189
    • Lipton, R.J.1    Tarjan, R.E.2
  • 91
    • 33845276522 scopus 로고    scopus 로고
    • Limits of dense graph sequences
    • DOI 10.1016/j.jctb.2006.05.002, PII S0095895606000517
    • L. Lovász and B. Szegedy, Limits of dense graph sequences, J. Combin. Theory Ser. B, 96 (2006), pp. 933-957. (Pubitemid 44858105)
    • (2006) Journal of Combinatorial Theory. Series B , vol.96 , Issue.6 , pp. 933-957
    • Lovasz, L.1    Szegedy, B.2
  • 92
    • 0022807929 scopus 로고
    • SIMPLE PARALLEL ALGORITHMS FOR THE MAXIMAL INDEPENDENT SET PROBLEM.
    • M. Luby, A simple parallel algorithm for the maximal independent set problem, SIAM J. Comput., 15 (1986), pp. 1036-1053. (Pubitemid 17465853)
    • (1986) SIAM Journal on Computing , vol.15 , Issue.4 , pp. 1036-1053
    • Luby Michael1
  • 93
    • 67149116491 scopus 로고    scopus 로고
    • Approximating the distance to properties in bounded-degree and general sparse graphs
    • S. Marko and D. Ron, Approximating the distance to properties in bounded-degree and general sparse graphs, ACM Trans. Algorithms, 5 (2009), 22.
    • (2009) ACM Trans. Algorithms , vol.5 , pp. 22
    • Marko, S.1    Ron, D.2
  • 94
    • 77956051809 scopus 로고    scopus 로고
    • Combinatorial construction of locally testable codes
    • O. Meir, Combinatorial construction of locally testable codes, SIAM J. Comput., 39 (2009), pp. 491-544.
    • (2009) SIAM J. Comput. , vol.39 , pp. 491-544
    • Meir, O.1
  • 96
    • 76349097997 scopus 로고    scopus 로고
    • Testing the expansion of a graph
    • A. Nachmias and A. Shapira, Testing the expansion of a graph, Inform. and Comput., 208 (2010), pp. 309-314.
    • (2010) Inform. and Comput. , vol.208 , pp. 309-314
    • Nachmias, A.1    Shapira, A.2
  • 98
    • 0036114977 scopus 로고    scopus 로고
    • Testing the Diameter of Graphs
    • DOI 10.1002/rsa.10013
    • M. Parnas and D. Ron, Testing the diameter of graphs, Random Structures Algorithms, 20 (2002), pp. 165-183. (Pubitemid 37340805)
    • (2002) Random Structures and Algorithms , vol.20 , Issue.2 , pp. 165-183
    • Parnas, M.1    Ron, D.2
  • 99
    • 34547153784 scopus 로고    scopus 로고
    • Approximating the minimum vertex cover in sublinear time and a connection to distributed algorithms
    • DOI 10.1016/j.tcs.2007.04.040, PII S0304397507003696
    • M. Parnas and D. Ron, Approximating the minimum vertex cover in sublinear time and a connection to distributed algorithms, Theoret. Comput. Sci., 381 (2007), pp. 183-196. (Pubitemid 47126208)
    • (2007) Theoretical Computer Science , vol.381 , Issue.1-3 , pp. 183-196
    • Parnas, M.1    Ron, D.2
  • 100
    • 33746779981 scopus 로고    scopus 로고
    • Tolerant property testing and distance approximation
    • DOI 10.1016/j.jcss.2006.03.002, PII S0022000006000444
    • M. Parnas, D. Ron, and R. Rubinfeld, Tolerant property testing and distance approximation, J. Comput. System Sci., 72 (2006), pp. 1012-1042. (Pubitemid 44163575)
    • (2006) Journal of Computer and System Sciences , vol.72 , Issue.6 , pp. 1012-1042
    • Parnas, M.1    Ron, D.2    Rubinfeld, R.3
  • 104
    • 0030714232 scopus 로고    scopus 로고
    • A sub-constant error-probability low-degree test, and a sub-constant error-probability PCP characterization of NP, in Proceedings of the Twenty-Ninth Annual ACM Symposium on the Theory of Computing
    • R. Raz and S. Safra, A sub-constant error-probability low-degree test, and a sub-constant error-probability PCP characterization of NP, in Proceedings of the Twenty-Ninth Annual ACM Symposium on the Theory of Computing, El Paso, TX, 1997, pp. 475-484.
    • (1997) El Paso, TX , pp. 475-484
    • Raz, R.1    Safra, S.2
  • 105
    • 51249176551 scopus 로고
    • On graphs with small subgraphs of large chromatic number
    • V. Rödl and R. Duke, On graphs with small subgraphs of large chromatic number, Graphs Combin., 1 (1985), pp. 91-96.
    • (1985) Graphs Combin. , vol.1 , pp. 91-96
    • Rödl, V.1    Duke, R.2
  • 106
    • 35448941877 scopus 로고    scopus 로고
    • Property testing in hypergraphs and the removal lemma
    • DOI 10.1145/1250790.1250862, STOC'07: Proceedings of the 39th Annual ACM Symposium on Theory of Computing
    • V. Rödl and M. Schacht, Property testing in hypergraphs and the removal lemma, in Proceedings of the 39th Annual ACM Symposium on Theory of Computing, San Diego, CA, 2007, pp. 488-495. (Pubitemid 47630768)
    • (2007) Proceedings of the Annual ACM Symposium on Theory of Computing , pp. 488-495
    • Rodl, V.1    Schacht, M.2
  • 107
    • 0013370155 scopus 로고    scopus 로고
    • Property testing
    • Kluwer Academic Publishers, Dordrecht, The Netherlands
    • D. Ron, Property testing, in Handbook on Randomization, Volume II, Kluwer Academic Publishers, Dordrecht, The Netherlands, 2001, pp. 597-649.
    • (2001) Handbook on Randomization , vol.2 , pp. 597-649
    • Ron, D.1
  • 108
    • 77249143284 scopus 로고    scopus 로고
    • Property testing: A learning theory perspective
    • D. Ron, Property testing: A learning theory perspective, Found. Trends Machine Learning, 1 (2008), pp. 307-402.
    • (2008) Found. Trends Machine Learning , vol.1 , pp. 307-402
    • Ron, D.1
  • 109
    • 84963060265 scopus 로고
    • On certain sets of integers
    • K. F. Roth, On certain sets of integers, J. London Math. Soc., 28 (1953), pp. 104-109.
    • (1953) J. London Math. Soc. , vol.28 , pp. 104-109
    • Roth, K.F.1
  • 110
    • 0033147353 scopus 로고    scopus 로고
    • On the robustness of functional equations
    • R. Rubinfeld, On the robustness of functional equations, SIAM J. Comput., 28 (1999), pp. 1972-1997. (Pubitemid 129306122)
    • (1999) SIAM Journal on Computing , vol.28 , Issue.6 , pp. 1972-1997
    • Rubinfeld Ronitt1
  • 111
    • 0030128622 scopus 로고    scopus 로고
    • Robust characterizations of polynomials with applications to program testing
    • R. Rubinfeld and M. Sudan, Robust characterization of polynomials with applications to program testing, SIAM J. Comput., 25 (1996), pp. 252-271. (Pubitemid 126577271)
    • (1996) SIAM Journal on Computing , vol.25 , Issue.2 , pp. 252-271
    • Rubinfeld, R.1    Sudan, M.2
  • 116
    • 78449272510 scopus 로고    scopus 로고
    • Invariance in property testing
    • O. Goldreich, ed., Lecture Notes in Comput. Sci. Springer, New York
    • M. Sudan, Invariance in property testing, in Property Testing: Current Research and Surveys, O. Goldreich, ed., Lecture Notes in Comput. Sci. 6390, Springer, New York, 2010, pp. 211-227.
    • (2010) Property Testing: Current Research and Surveys , vol.6390 , pp. 211-227
    • Sudan, M.1
  • 117
    • 0002572651 scopus 로고
    • Regular partitions of graphs
    • C. Bermond, J. C. Fournier, M. Las Vergnas, and D. Sotteau, eds., CNRS, Paris
    • E. Szemerédi, Regular partitions of graphs, in Proceedings of the Colloque Inter. CNRS, J. C. Bermond, J. C. Fournier, M. Las Vergnas, and D. Sotteau, eds., CNRS, Paris, 1978, pp. 399-401.
    • (1978) Proceedings of the Colloque Inter. CNRS, J. , pp. 399-401
    • Szemerédi, E.1
  • 118
    • 33746620574 scopus 로고    scopus 로고
    • A variant of the hypergraph removal lemma
    • DOI 10.1016/j.jcta.2005.11.006, PII S0097316505002177
    • T. Tao, A variant of the hypergraph removal lemma, J. Combin. Theory Ser. A, 113 (2006), pp. 1257-1280. (Pubitemid 44145331)
    • (2006) Journal of Combinatorial Theory. Series A , vol.113 , Issue.7 , pp. 1257-1280
    • Tao, T.1


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