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Volumn 37, Issue 6, 2007, Pages 1703-1727

A characterization of the (natural) graph properties testable with one-sided error

Author keywords

Hereditary properties; One sided error; Property testing; Regularity lemma

Indexed keywords

GRAPH PROPERTIES; HEREDITARY GRAPH PROPERTIES; HEREDITARY PROPERTIES; INPUT GRAPHS; ONE-SIDED ERROR; OPEN PROBLEMS; PROPERTY TESTERS; PROPERTY TESTING; REGULARITY LEMMA; TECHNICAL CONTRIBUTIONS;

EID: 49649088238     PISSN: 00975397     EISSN: None     Source Type: Journal    
DOI: 10.1137/06064888X     Document Type: Conference Paper
Times cited : (132)

References (38)
  • 1
    • 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.
    • (2002) Random Structures Algorithms , vol.21 , pp. 359-370
    • ALON, N.1
  • 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, SIAM J. Comput., 30 (2001), pp. 1842-1862.
    • (2001) SIAM J. Comput , vol.30 , pp. 1842-1862
    • ALON, N.1    KRIVELEVICH, M.2    NEWMAN, I.3    SZEGEDY, M.4
  • 7
    • 33750309653 scopus 로고    scopus 로고
    • A characterization of easily testable induced subgraphs
    • N. ALON AND A. SHAPIRA, A characterization of easily testable induced subgraphs, Combin., Probab. Comput., 15 (2006), pp. 791-805.
    • (2006) Combin., Probab. Comput , vol.15 , pp. 791-805
    • ALON, N.1    SHAPIRA, A.2
  • 8
    • 0038310709 scopus 로고    scopus 로고
    • Testing satisfiability
    • N. ALON AND A. SHAPIRA, Testing satisfiability, J. Algorithms, 47 (2003), pp. 87-103.
    • (2003) J. Algorithms , vol.47 , pp. 87-103
    • ALON, N.1    SHAPIRA, A.2
  • 9
    • 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. 353-382.
    • (2004) J. Comput. System Sci , vol.69 , pp. 353-382
    • ALON, N.1    SHAPIRA, A.2
  • 10
    • 49649129024 scopus 로고    scopus 로고
    • A separation theorem in property-testing
    • to appear
    • N. ALON AND A. SHAPIRA, A separation theorem in property-testing, Combinatorica, to appear.
    • Combinatorica
    • ALON, N.1    SHAPIRA, A.2
  • 11
    • 55249124059 scopus 로고    scopus 로고
    • Every monotone graph-property is testable
    • to appear
    • N. ALON AND A. SHAPIRA, Every monotone graph-property is testable, SIAM J. Comput., to appear.
    • SIAM J. Comput
    • ALON, N.1    SHAPIRA, A.2
  • 12
    • 35448942660 scopus 로고    scopus 로고
    • Homomorphisms in graph property testing
    • Springer, Berlin
    • N. ALON AND A. SHAPIRA, Homomorphisms in graph property testing, in Topics in Discrete Mathematics, Springer, Berlin, 2006, pp. 281-313.
    • (2006) Topics in Discrete Mathematics , pp. 281-313
    • ALON, N.1    SHAPIRA, A.2
  • 13
    • 84871147263 scopus 로고    scopus 로고
    • What Is the Furthest Graph from a Hereditary Property?
    • manuscript
    • N. ALON AND U. STAV, What Is the Furthest Graph from a Hereditary Property?, manuscript, 2006.
    • (2006)
    • ALON, N.1    STAV, U.2
  • 14
    • 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
  • 15
    • 0038341773 scopus 로고    scopus 로고
    • Polynomial-time approximation schemes for packing and piercing fat objects
    • T. M. CHAN, Polynomial-time approximation schemes for packing and piercing fat objects, J. Algorithms, 46 (2003), pp. 178-189.
    • (2003) J. Algorithms , vol.46 , pp. 178-189
    • CHAN, T.M.1
  • 16
    • 22144496110 scopus 로고    scopus 로고
    • Testing graphs for colorability properties
    • E. FISCHER, Testing graphs for colorability properties. Random Structures Algorithms, 26 (2005), pp. 289-309.
    • (2005) Random Structures Algorithms , vol.26 , pp. 289-309
    • FISCHER, E.1
  • 17
    • 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
  • 19
    • 2542634184 scopus 로고    scopus 로고
    • Functions that have read-twice constant width branching programs are not necessarily testable
    • E. FISCHER, I. NEWMAN, AND J. SGALL, Functions that have read-twice constant width branching programs are not necessarily testable, Random Structures Algorithms, 24 (2004), pp. 175-193.
    • (2004) Random Structures Algorithms , vol.24 , pp. 175-193
    • FISCHER, E.1    NEWMAN, I.2    SGALL, J.3
  • 20
    • 31844434717 scopus 로고
    • Colored packings of sets
    • North-Holland, Amsterdam
    • P. FRANKL AND Z. FÜREDI, Colored packings of sets, in Combinatorial Design Theory, North-Holland, Amsterdam, 1987, pp. 165-177.
    • (1987) Combinatorial Design Theory , pp. 165-177
    • FRANKL, P.1    FÜREDI, Z.2
  • 21
    • 0012843363 scopus 로고    scopus 로고
    • Combinatorial property testing (a survey)
    • P. Pardalos, S. Rajasekaran, and J. Rolim, eds, AMS, Providence, RI
    • O. GOLDREICH, Combinatorial property testing (a survey), in Randomization Methods in Algorithm Design, P. Pardalos, S. Rajasekaran, and J. Rolim, eds., AMS, Providence, RI, 1998, pp. 45-59.
    • (1998) Randomization Methods in Algorithm Design , pp. 45-59
    • GOLDREICH, O.1
  • 22
    • 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.
    • (1998) J. ACM , vol.45 , pp. 653-750
    • GOLDREICH, O.1    GOLDWASSER, S.2    RON, D.3
  • 23
    • 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
  • 24
    • 0042806309 scopus 로고    scopus 로고
    • Three theorems regarding testing graph properties
    • O. GOLDREICH AND L. TREVISAN, Three theorems regarding testing graph properties, Random Structures Algorithms, 23 (2003), pp. 23-57.
    • (2003) Random Structures Algorithms , vol.23 , pp. 23-57
    • GOLDREICH, O.1    TREVISAN, L.2
  • 26
    • 55249127293 scopus 로고    scopus 로고
    • J. KOMLÓS AND M. SIMONOVITS, Szemerédi's regularity lemma and its applications in graph theory, in Combinatorics, Paul Erdo{double acute}s is Eighty, II, D. Miklós, V. T. Sós, and T. Szo{double acute}nyi, eds., János Bolyai Mathematical Society, Budapest, Hungary, 1996, pp. 295-352.
    • J. KOMLÓS AND M. SIMONOVITS, Szemerédi's regularity lemma and its applications in graph theory, in Combinatorics, Paul Erdo{double acute}s is Eighty, Vol. II, D. Miklós, V. T. Sós, and T. Szo{double acute}nyi, eds., János Bolyai Mathematical Society, Budapest, Hungary, 1996, pp. 295-352.
  • 28
    • 55249126826 scopus 로고    scopus 로고
    • T. A. MCKEE AND F. R. MCM ORRIS, Topics in Intersection Graph Theory, SIAM, Philadelphia, 1999.
    • T. A. MCKEE AND F. R. MCM ORRIS, Topics in Intersection Graph Theory, SIAM, Philadelphia, 1999.
  • 30
  • 32
    • 55249106885 scopus 로고    scopus 로고
    • J. L. RAMÍREZ-ALFONSÍN AND B. A. REED, EDS., Perfect Graphs, Wiley, Chichester, 2001.
    • J. L. RAMÍREZ-ALFONSÍN AND B. A. REED, EDS., Perfect Graphs, Wiley, Chichester, 2001.
  • 33
    • 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
  • 35
    • 0013370155 scopus 로고    scopus 로고
    • Property testing
    • P. M. Pardalos, S. Rajasekaran, J. Reif, and J. D. P. Rolim, eds, Kluwer Academic Publishers, Dordrecht, The Netherlands
    • D. RON, Property testing, in Handbook of Randomized Computing, Vol. II, P. M. Pardalos, S. Rajasekaran, J. Reif, and J. D. P. Rolim, eds., Kluwer Academic Publishers, Dordrecht, The Netherlands, 2001, pp. 597-649.
    • (2001) Handbook of Randomized Computing , vol.2 , pp. 597-649
    • RON, D.1
  • 36
    • 0030128622 scopus 로고    scopus 로고
    • Robust characterizations of polynomials with applications to program testing
    • R. RUBINFELD AND M. SUDAN, Robust characterizations of polynomials with applications to program testing, SIAM J. Comput., 25 (1996), pp. 252-271.
    • (1996) SIAM J. Comput , vol.25 , pp. 252-271
    • RUBINFELD, R.1    SUDAN, M.2
  • 37
    • 0002572651 scopus 로고
    • Regular partitions of graphs
    • J. C. Bermond, J. C. Fournier, M. Las Vergnas, and D. Sotteau, eds, CNRS, Paris
    • E. SZEMERÉDI, Regular partitions of graphs, in Problémes combinatoires et théorie des graphes, J. C. Bermond, J. C. Fournier, M. Las Vergnas, and D. Sotteau, eds., CNRS, Paris, 1978, pp. 399-401.
    • (1978) Problémes combinatoires et théorie des graphes , pp. 399-401
    • SZEMERÉDI, E.1
  • 38
    • 0034355272 scopus 로고    scopus 로고
    • New bounds on nearly perfect matchings in hypergraphs: Higher codegrees do help
    • V. Vu, New bounds on nearly perfect matchings in hypergraphs: Higher codegrees do help, Random Structures Algorithms, 17 (2000), pp. 29-63.
    • (2000) Random Structures Algorithms , vol.17 , pp. 29-63
    • Vu, V.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.