메뉴 건너뛰기




Volumn 2006, Issue , 2006, Pages 251-260

A combinatorial characterization of the testable graph properties: It's all about regularity

Author keywords

Characterization; Property Testing; Regularity Lemma

Indexed keywords

PROPERTY TESTING; REGULARITY LEMMA; SZEMERÉDI-PARTITION;

EID: 33748125492     PISSN: 07378017     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper
Times cited : (90)

References (38)
  • 4
    • 0034360832 scopus 로고    scopus 로고
    • Also: Combinatorica 20 (2000), 451-476.
    • (2000) Combinatorica , vol.20 , pp. 451-476
  • 5
    • 0035704542 scopus 로고    scopus 로고
    • Regular languages are testable with a constant number of queries
    • N. Alon, M. Krivelevich, I. Newman and M. Szegedy, Regular languages are testable with a constant number of queries, SICOMP 30 (2001), 1842-1862.
    • (2001) SICOMP , vol.30 , pp. 1842-1862
    • Alon, N.1    Krivelevich, M.2    Newman, I.3    Szegedy, M.4
  • 7
    • 34848872557 scopus 로고    scopus 로고
    • Every monotone graph property is testable
    • N. Alon and A. Shapira, Every monotone graph property is testable, Proc. of STOC 2005, 128-137.
    • Proc. of STOC 2005 , pp. 128-137
    • Alon, N.1    Shapira, A.2
  • 8
    • 33748583768 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, Proc. of FOCS 2005, 429-438.
    • Proc. of FOCS 2005 , pp. 429-438
    • Alon, N.1    Shapira, A.2
  • 9
    • 35048828830 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, Proc. of RANDOM 2004, 273-285.
    • Proc. of RANDOM 2004 , pp. 273-285
    • Ben-Or, M.1    Coppersmith, D.2    Luby, M.3    Rubinfeld, R.4
  • 11
    • 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, JCSS 47 (1993), 549-595.
    • (1993) JCSS , vol.47 , pp. 549-595
    • Blum, M.1    Luby, M.2    Rubinfeld, R.3
  • 14
    • 20544434460 scopus 로고    scopus 로고
    • Abstract combinatorial programs and efficient property testers
    • A. Czumaj and C. Sohler, Abstract combinatorial programs and efficient property testers, SICOMP 34 (2005), 580-615.
    • (2005) SICOMP , vol.34 , pp. 580-615
    • Czumaj, A.1    Sohler, C.2
  • 15
    • 64049101170 scopus 로고    scopus 로고
    • Testing graphs for colorability properties
    • th SODA (2001), 873-882.
    • (2001) th SODA , pp. 873-882
    • Fischer, E.1
  • 17
    • 27144512264 scopus 로고    scopus 로고
    • The difficulty of testing for isomorphism against a graph that is given in advance
    • E. Fischer, The difficulty of testing for isomorphism against a graph that is given in advance, SICOMP, 34, 1147-1158.
    • SICOMP , vol.34 , pp. 1147-1158
    • Fischer, E.1
  • 19
    • 33748121264 scopus 로고    scopus 로고
    • Also, Proc. of FOCS (2002), 103-112.
    • (2002) Proc. of FOCS , pp. 103-112
  • 20
    • 34848884260 scopus 로고    scopus 로고
    • Testing versus estimation of graph properties
    • E. Fischer and I. Newman, Testing versus estimation of graph properties, Proc. of STOC 2005, 138-146.
    • Proc. of STOC 2005 , pp. 138-146
    • Fischer, E.1    Newman, I.2
  • 21
    • 33748102648 scopus 로고    scopus 로고
    • Functions that have read-twice constant width branching programs are not necessarily testable
    • in press
    • E. Fischer, I. Newman and J. Sgall, Functions that have read-twice constant width branching programs are not necessarily testable, Random Struc. and Alg., in press.
    • Random Struc. and Alg.
    • Fischer, E.1    Newman, I.2    Sgall, J.3
  • 24
    • 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), 175-220.
    • (1999) Combinatorica , vol.19 , pp. 175-220
    • Frieze, A.1    Kannan, R.2
  • 25
    • 0012843363 scopus 로고    scopus 로고
    • Combinatorial property testing - A survey
    • Randomization Methods in Algorithm Design (P. Pardalos, S. Rajasekaran and J. Rolim eds.)
    • O. Goldreich, Combinatorial property testing - a survey, In: Randomization Methods in Algorithm Design (P. Pardalos, S. Rajasekaran and J. Rolim eds.), AMS-DIMACS (1998), 45-60.
    • (1998) AMS-DIMACS , pp. 45-60
    • Goldreich, O.1
  • 27
    • 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, JACM 45(4): 653-750 (1998).
    • (1998) JACM , vol.45 , Issue.4 , pp. 653-750
    • Goldreich, O.1    Goldwasser, S.2    Ron, D.3
  • 29
    • 0030694952 scopus 로고    scopus 로고
    • Property testing in bounded-degree graphs
    • O. Goldreich and D. Ron, Property Testing in Bounded-Degree Graphs, Proc. of STOC 1997, 406-415.
    • Proc. of STOC 1997 , pp. 406-415
    • Goldreich, O.1    Ron, D.2
  • 30
    • 0000501688 scopus 로고    scopus 로고
    • Szemerédi's Regularity Lemma and its applications in graph theory
    • (D. Miklośs, V. T. Sós, T. Szönyi eds.), János Bolyai Math. Soc., Budapest
    • J. Komlós and M. Simonovits, Szemerédi's Regularity Lemma and its applications in graph theory. In: Combinatorics, Paul Erdos is Eighty, Vol II (D. Miklośs, V. T. Sós, T. Szönyi eds.), János Bolyai Math. Soc., Budapest (1996), 295-352.
    • (1996) Combinatorics, Paul Erdos Is Eighty , vol.2 , pp. 295-352
    • Komlós, J.1    Simonovits, M.2
  • 32
    • 0002949368 scopus 로고    scopus 로고
    • Testing of functions that have small width branching programs
    • I. Newman, Testing of functions that have small width branching programs, Proc. of FOCS 2000, 251-258.
    • Proc. of FOCS 2000 , pp. 251-258
    • Newman, I.1
  • 35
    • 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 and Combinatorics 1 (1985), 91-96.
    • (1985) Graphs and Combinatorics , vol.1 , pp. 91-96
    • Rödl, V.1    Duke, R.2
  • 36
    • 0013370155 scopus 로고    scopus 로고
    • Property testing
    • P. M. Pardalos, S. Rajasekaran, J. Reif and J. D. P. Rolim, editors, Kluwer Academic Publishers
    • D. Ron, Property testing, in: P. M. Pardalos, S. Rajasekaran, J. Reif and J. D. P. Rolim, editors, Handbook of Randomized Computing, Vol. II, Kluwer Academic Publishers, 2001, 597-649.
    • (2001) Handbook of Randomized Computing , vol.2 , pp. 597-649
    • Ron, D.1
  • 37
    • 0030128622 scopus 로고    scopus 로고
    • Robust characterization of polynomials with applications to program testing
    • R. Rubinfeld and M. Sudan, Robust characterization of polynomials with applications to program testing, SICOMP 25 (1996), 252-271.
    • (1996) SICOMP , vol.25 , pp. 252-271
    • Rubinfeld, R.1    Sudan, M.2
  • 38
    • 0002572651 scopus 로고
    • Regular partitions of graphs
    • J. C. Bermond, J. C. Fournier, M. Las Vergnas and D. Sotteau, eds.
    • E. Szemerédi, Regular partitions of graphs, In: Proc. Colloque Inter. CNRS (J. C. Bermond, J. C. Fournier, M. Las Vergnas and D. Sotteau, eds.), 1978, 399-401.
    • (1978) Proc. Colloque Inter. CNRS , pp. 399-401
    • Szemerédi, E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.