메뉴 건너뛰기




Volumn 25, Issue , 2006, Pages 149-170

Combinatorial complexity measures for strings

Author keywords

[No Author keywords available]

Indexed keywords


EID: 33750349042     PISSN: 1860949X     EISSN: None     Source Type: Book Series    
DOI: 10.1007/978-3-540-33461-3_6     Document Type: Article
Times cited : (4)

References (80)
  • 1
    • 12144290812 scopus 로고    scopus 로고
    • Estimating the entropy rate of spike trains via Lempel-Ziv complexity
    • J. M. Amigo, J. Szczepanski, E. Wajnryb and M. V. Sanchez-Vives, Estimating the entropy rate of spike trains via Lempel-Ziv complexity, Neural Computation 16(4) (2004) 717-736.
    • (2004) Neural Computation , vol.16 , Issue.4 , pp. 717-736
    • Amigo, J.M.1    Szczepanski, J.2    Wajnryb, E.3    Sanchez-Vives, M.V.4
  • 5
    • 0002336177 scopus 로고
    • Information, Dissipation, and the Definition of Organization
    • (David Pines, ed.), Santa Fe Institute Addison-Wesley, Reading, Mass., 1987
    • C.H. Bennett, Information, Dissipation, and the Definition of Organization, Emerging Syntheses in Science (David Pines, ed.), Santa Fe Institute, 1985, 297-313, Addison-Wesley, Reading, Mass., 1987.
    • (1985) Emerging Syntheses in Science , pp. 297-313
    • Bennett, C.H.1
  • 6
    • 0002989012 scopus 로고
    • Logical Depth and Physical Complexity
    • (R. Herken, ed.), Oxford University Press
    • C.H. Bennett, Logical Depth and Physical Complexity, The Universal Turing Machine - a Half-Century Survey (R. Herken, ed.), Oxford University Press 1988, 227-257.
    • (1988) The Universal Turing Machine - A Half-Century Survey , pp. 227-257
    • Bennett, C.H.1
  • 7
    • 0003581728 scopus 로고
    • Number 20 in Publications du Laboratoire de Combinatoire et d'Informatique Mathématique, Université du Québec à Montréal, February
    • J. Berstel, Axel Thue's Papers on Repetitions in Words: A Translation, Number 20 in Publications du Laboratoire de Combinatoire et d'Informatique Mathématique, Université du Québec à Montréal, February 1995.
    • (1995) Axel Thue's Papers on Repetitions in Words: A Translation
    • Berstel, J.1
  • 9
    • 38249032793 scopus 로고
    • Uniformly growing k-th power-free homomorphisms
    • F.-J. Brandenburg, Uniformly growing k-th power-free homomorphisms, Theoret. Comput. Sci. 23 (1983) 69-82.
    • (1983) Theoret. Comput. Sci. , vol.23 , pp. 69-82
    • Brandenburg, F.-J.1
  • 12
    • 84918358658 scopus 로고
    • On the length of programs for computing finite binary sequences
    • G. Chaitin, On the length of programs for computing finite binary sequences, J. Assoc. Comput. Mach. 13 (1966) 547-569.
    • (1966) J. Assoc. Comput. Mach. , vol.13 , pp. 547-569
    • Chaitin, G.1
  • 13
    • 0000303535 scopus 로고
    • Algorithmic Information Theory
    • G. Chaitin, Algorithmic Information Theory, IBM J. Res. Develop. 21 (1977) 350-359.
    • (1977) IBM J. Res. Develop. , vol.21 , pp. 350-359
    • Chaitin, G.1
  • 15
    • 0000767970 scopus 로고    scopus 로고
    • Combinatorics on Words
    • (G. Rozenberg, A. Salomaa, eds.), Springer-Verlag, Berlin, Heidelberg
    • C. Choffrut and J. Karhumäki, Combinatorics on Words, Handbook of Formal Languages, Vol. I (G. Rozenberg, A. Salomaa, eds.), Springer-Verlag, Berlin, Heidelberg, 1997, 329-438.
    • (1997) Handbook of Formal Languages , vol.1 , pp. 329-438
    • Choffrut, C.1    Karhumäki, J.2
  • 16
    • 34249948426 scopus 로고
    • Uniform Tag Sequences
    • A. Cobham, Uniform Tag Sequences, Math. Systems Th. 6 (1972) 164-192.
    • (1972) Math. Systems Th. , vol.6 , pp. 164-192
    • Cobham, A.1
  • 17
    • 33750288832 scopus 로고    scopus 로고
    • The Lempel-Ziv complexity of fixed points of morphisms
    • submitted, Aug
    • S. Constantinescu and L. Ilie, The Lempel-Ziv complexity of fixed points of morphisms, submitted, Aug. 2005.
    • (2005)
    • Constantinescu, S.1    Ilie, L.2
  • 18
    • 0001444363 scopus 로고
    • An optimal algorithm for computing the repetitions in a word
    • M. Crochemore, An optimal algorithm for computing the repetitions in a word, Inform. Process. Lett. 12(5) (1981) 244-250.
    • (1981) Inform. Process. Lett. , vol.12 , Issue.5 , pp. 244-250
    • Crochemore, M.1
  • 19
    • 33750358498 scopus 로고
    • Linear searching for a square in a word
    • (A. Apostolico, Z. Galil, eds.), 1984, Springer-Verlag, Berlin, New York
    • M. Crochemore, Linear searching for a square in a word, NATO Advanced Research Workshop on Combinatorial Algorithms on Words (A. Apostolico, Z. Galil, eds.), 1984, Springer-Verlag, Berlin, New York, 1985, 66-72.
    • (1985) NATO Advanced Research Workshop on Combinatorial Algorithms on Words , pp. 66-72
    • Crochemore, M.1
  • 21
    • 0038072522 scopus 로고
    • Sur un théorème de Thue
    • F. Dejean, Sur un théorème de Thue, J. Combin. Theory. Ser. A 13 (1972) 90-99.
    • (1972) J. Combin. Theory. Ser. A , vol.13 , pp. 90-99
    • Dejean, F.1
  • 22
    • 0011989939 scopus 로고
    • Subword complexities of various classes of deterministic developmental languages without interaction
    • A. Ehrenfeucht, K.P. Lee and G. Rozenberg, Subword complexities of various classes of deterministic developmental languages without interaction, Theoret. Comput. Sci. 1 (1975) 59-75.
    • (1975) Theoret. Comput. Sci. , vol.1 , pp. 59-75
    • Ehrenfeucht, A.1    Lee, K.P.2    Rozenberg, G.3
  • 23
    • 0038889291 scopus 로고
    • On the subword complexities of square-free D0L-languages
    • A. Ehrenfeucht and G. Rozenberg, On the subword complexities of square-free D0L-languages, Theoret. Comput. Sci. 16 (1981) 25-32.
    • (1981) Theoret. Comput. Sci. , vol.16 , pp. 25-32
    • Ehrenfeucht, A.1    Rozenberg, G.2
  • 24
    • 33750076131 scopus 로고
    • On the subword complexities of D0L-languages with a constant distribution
    • A. Ehrenfeucht and G. Rozenberg, On the subword complexities of D0L-languages with a constant distribution, Theoret. Comput. Sci. 13 (1981) 108-113.
    • (1981) Theoret. Comput. Sci. , vol.13 , pp. 108-113
    • Ehrenfeucht, A.1    Rozenberg, G.2
  • 25
    • 33750037677 scopus 로고
    • On the subword complexities of homomorphic images of languages
    • A. Ehrenfeucht and G. Rozenberg, On the subword complexities of homomorphic images of languages, RAIRO Informatique Théorique 16 (1982) 303-316.
    • (1982) RAIRO Informatique Théorique , vol.16 , pp. 303-316
    • Ehrenfeucht, A.1    Rozenberg, G.2
  • 26
    • 0020593492 scopus 로고
    • On the subword complexities of locally catenative D0L-languages
    • A. Ehrenfeucht and G. Rozenberg, On the subword complexities of locally catenative D0L-languages, Information Processing Letters 16 (1982) 7-9.
    • (1982) Information Processing Letters , vol.16 , pp. 7-9
    • Ehrenfeucht, A.1    Rozenberg, G.2
  • 30
    • 3042529257 scopus 로고    scopus 로고
    • Strings with maximally many distinct subsequences and substrings
    • #R8
    • A. Flaxman, A. Harrow, and G. Sorkin, Strings with maximally many distinct subsequences and substrings, Electron. J. Combin. 11(1) (2004) #R8.
    • (2004) Electron. J. Combin. , vol.11 , Issue.1
    • Flaxman, A.1    Harrow, A.2    Sorkin, G.3
  • 31
    • 33750329244 scopus 로고    scopus 로고
    • On periodicity and low complexity of infinite permutations
    • D.G. Fon-Der-Flaass and A.E. Frid, On periodicity and low complexity of infinite permutations, EuroComb'05, 267-272.
    • EuroComb'05 , pp. 267-272
    • Fon-Der-Flaass, D.G.1    Frid, A.E.2
  • 33
    • 33750381676 scopus 로고
    • The combinatorial complexity of a finite string
    • (Košice, 1994), Lecture Notes in Comput. Sci. 841, Springer, Berlin
    • F. Frayman, V. Kanevsky, and W. Kirchherr, The combinatorial complexity of a finite string, Proc. of Mathematical Foundations of Computer Science 1994 (Košice, 1994), Lecture Notes in Comput. Sci. 841, Springer, Berlin, 1994, 364-372,
    • (1994) Proc. of Mathematical Foundations of Computer Science 1994 , pp. 364-372
    • Frayman, F.1    Kanevsky, V.2    Kirchherr, W.3
  • 35
    • 0027186549 scopus 로고
    • The Lempel-Ziv complexity and local structure analysis of genomes
    • V.D. Gusev, V.A. Kulichkov, and O.M. Chupakhina, The Lempel-Ziv complexity and local structure analysis of genomes, Biosystems 30(1-3) (1993) 183-200.
    • (1993) Biosystems , vol.30 , Issue.1-3 , pp. 183-200
    • Gusev, V.D.1    Kulichkov, V.A.2    Chupakhina, O.M.3
  • 37
    • 25144432769 scopus 로고    scopus 로고
    • A simple proof that a word of length n has at most 2n distinct squares
    • L. Ilie, A simple proof that a word of length n has at most 2n distinct squares, J. Combin. Theory, Ser. A 112(1) (2005) 163-164.
    • (2005) J. Combin. Theory, Ser. A , vol.112 , Issue.1 , pp. 163-164
    • Ilie, L.1
  • 42
    • 0031074030 scopus 로고    scopus 로고
    • A characterization of the squares in a Fibonacci string
    • C. Iliopoulos, D. Moore, and W.F. Smyth, A characterization of the squares in a Fibonacci string, Theoret. Comput. Sci. 172(1-2) (1997) 281-291.
    • (1997) Theoret. Comput. Sci. , vol.172 , Issue.1-2 , pp. 281-291
    • Iliopoulos, C.1    Moore, D.2    Smyth, W.F.3
  • 44
    • 0001902056 scopus 로고
    • Three approaches to the quantitative definition of information
    • A.N. Kolmogorov, Three approaches to the quantitative definition of information, Probl. Inform. Transmission 1 (1965) 1-7.
    • (1965) Probl. Inform. Transmission , vol.1 , pp. 1-7
    • Kolmogorov, A.N.1
  • 45
    • 0346213265 scopus 로고    scopus 로고
    • Maximal repetitions in words or how to find all squares in linear time
    • Rapport Interne LORIA 98-R-227, Laboratoire Lorrain de Recherche en Informatique et ses Applications, (available from URL:)
    • R. Kolpakov and G. Kucherov, Maximal repetitions in words or how to find all squares in linear time, Rapport Interne LORIA 98-R-227, Laboratoire Lorrain de Recherche en Informatique et ses Applications, 1998 (available from URL: http://www.loria.fr/kucherov/res activ.html).
    • (1998)
    • Kolpakov, R.1    Kucherov, G.2
  • 46
    • 4244098734 scopus 로고    scopus 로고
    • On the sum of exponents of maximal repetitions in a word
    • LORIA, 1999, Rapport Interne, 99-R-034, Laboratoire Lorrain de Recherche en Informatique et ses Applications, (available from URL:)
    • R. Kolpakov and G. Kucherov, On the sum of exponents of maximal repetitions in a word, LORIA, 1999, Rapport Interne, 99-R-034, Laboratoire Lorrain de Recherche en Informatique et ses Applications, 1999 (available from URL: http://www.loria.fr/kucherov/res activ.html).
    • (1999)
    • Kolpakov, R.1    Kucherov, G.2
  • 49
    • 0016880887 scopus 로고
    • On the Complexity of Finite Sequences
    • A. Lempel and J. Ziv, On the Complexity of Finite Sequences, IEEE Trans. Inform. Theory 92(1) (1976) 75-81.
    • (1976) IEEE Trans. Inform. Theory , vol.92 , Issue.1 , pp. 75-81
    • Lempel, A.1    Ziv, J.2
  • 51
    • 0004157169 scopus 로고
    • Addison-Wesley, Reading, MA (2nd ed., Cambridge Univ. Press, 1997)
    • M. Lothaire, Combinatorics on Words, Addison-Wesley, Reading, MA, 1983 (2nd ed., Cambridge Univ. Press, 1997).
    • (1983) Combinatorics on Words
    • Lothaire, M.1
  • 54
    • 38249007026 scopus 로고
    • Detecting leftmost maximal periodicities
    • M.G. Main, Detecting leftmost maximal periodicities, Discrete Appl. Math. 25(1-2) (1989) 145-153.
    • (1989) Discrete Appl. Math. , vol.25 , Issue.1-2 , pp. 145-153
    • Main, M.G.1
  • 55
    • 0001788272 scopus 로고
    • Symbolic dynamics II. Sturmian trajectories
    • M. Morse and G.A. Hedlund, Symbolic dynamics II. Sturmian trajectories, Amer. J. Math. 61 (1940) 1-42.
    • (1940) Amer. J. Math. , vol.61 , pp. 1-42
    • Morse, M.1    Hedlund, G.A.2
  • 56
    • 0026839463 scopus 로고
    • Proof of Dejean's conjecture for alphabets with 5, 6, 7, 8, 9, 10 and 11 letters
    • J. Moulin-Ollagnier, Proof of Dejean's conjecture for alphabets with 5, 6, 7, 8, 9, 10 and 11 letters, Theoret. Comput. Sci. 95 (1992) 187-205.
    • (1992) Theoret. Comput. Sci. , vol.95 , pp. 187-205
    • Moulin-Ollagnier, J.1
  • 57
    • 84907199962 scopus 로고
    • and Ziv-Lempel complexity for periodic sequences and its cryptographic application, Lecture Notes in Comput. Sci. Springer-Verlag
    • S. Mund and Ziv-Lempel complexity for periodic sequences and its cryptographic application, Advances in Cryptology - EUROCRYPT '91, Lecture Notes in Comput. Sci. 547, Springer-Verlag, 1991, 114-126.
    • (1991) Advances in Cryptology - EUROCRYPT '91 , vol.547 , pp. 114-126
    • Mund, S.1
  • 58
    • 0002934445 scopus 로고    scopus 로고
    • Some computable complexity measures for binary sequences
    • (C. Ding, T. Helleseth, and H. Niederreiter, eds.), Springer-Verlag, London
    • H. Niederreiter, Some computable complexity measures for binary sequences, Sequences and Their Applications (C. Ding, T. Helleseth, and H. Niederreiter, eds.), Springer-Verlag, London, 1999, 67-78.
    • (1999) Sequences and Their Applications , pp. 67-78
    • Niederreiter, H.1
  • 59
    • 0347526104 scopus 로고    scopus 로고
    • Linear complexity and related complexity measures for sequences
    • (T. Johansson and S. Maitra, eds.), Lecture Notes in Comput. Sci. Springer-Verlag, Berlin
    • H. Niederreiter, Linear complexity and related complexity measures for sequences, Progress in Cryptology INDOCRYPT 2003 (T. Johansson and S. Maitra, eds.), Lecture Notes in Comput. Sci. 2904, Springer-Verlag, Berlin, 2003, 1-17.
    • (2003) Progress in Cryptology INDOCRYPT 2003 , vol.2904 , pp. 1-17
    • Niederreiter, H.1
  • 60
    • 0030242187 scopus 로고    scopus 로고
    • Tree Complexity and a Doubly Exponential Gap between Structured and Random Sequences
    • H. Niederreiter and M. Vielhaber, Tree Complexity and a Doubly Exponential Gap between Structured and Random Sequences, J. Complexity 12 (1996) 187198.
    • (1996) J. Complexity , vol.12 , pp. 187198
    • Niederreiter, H.1    Vielhaber, M.2
  • 61
    • 33750087016 scopus 로고
    • Bornes inférieures sur la complexité des facteurs des mots infinis engendrés par morphismes itérés
    • Lecture Notes in Comput. Sci. Springer, Berlin
    • J.-J. Pansiot, Bornes inférieures sur la complexité des facteurs des mots infinis engendrés par morphismes itérés, Proc. of STACS'84, Lecture Notes in Comput. Sci. 166, Springer, Berlin, 1984, 230-240.
    • (1984) Proc. of STACS'84 , vol.166 , pp. 230-240
    • Pansiot, J.-J.1
  • 62
    • 0001674932 scopus 로고
    • Complexité des facteurs des mots infinis engendrés par morphismes itérés
    • Lecture Notes in Comput. Sci. Springer, Berlin
    • J.-J. Pansiot, Complexité des facteurs des mots infinis engendrés par morphismes itérés, Proc. of ICALP'84, Lecture Notes in Comput. Sci. 172, Springer, Berlin, 1984, 380-389.
    • (1984) Proc. of ICALP'84 , vol.172 , pp. 380-389
    • Pansiot, J.-J.1
  • 63
    • 0039348673 scopus 로고
    • A propos d'une conjecture de F. Dejean sur les répétitions dans les mots
    • J.-J. Pansiot, A propos d'une conjecture de F. Dejean sur les répétitions dans les mots, Disc. Appl. Math. 7 (1984) 297-311.
    • (1984) Disc. Appl. Math. , vol.7 , pp. 297-311
    • Pansiot, J.-J.1
  • 64
    • 84972546121 scopus 로고
    • On subwords of formal languages
    • Lecture Notes in Comput. Sci. Springer, Berlin-New York
    • G. Rozenberg, On subwords of formal languages, Proc. of Fundamentals of computation theory, Lecture Notes in Comput. Sci. 117, Springer, Berlin-New York, 1981, 328-333.
    • (1981) Proc. of Fundamentals of Computation Theory , vol.117 , pp. 328-333
    • Rozenberg, G.1
  • 66
    • 0038238644 scopus 로고    scopus 로고
    • Application of Lempel-Ziv factorization to the approximation of grammar-based compression
    • W. Rytter, Application of Lempel-Ziv factorization to the approximation of grammar-based compression, Theoret. Comput. Sci. 302(1-3) (2003) 211-222.
    • (2003) Theoret. Comput. Sci. , vol.302 , Issue.1-3 , pp. 211-222
    • Rytter, W.1
  • 68
    • 0347854786 scopus 로고
    • On the maximum number of distinct factors of a binary string
    • J. Shallit, On the maximum number of distinct factors of a binary string, Graphs Combin. 9(2) (1993) 197-200.
    • (1993) Graphs Combin. , vol.9 , Issue.2 , pp. 197-200
    • Shallit, J.1
  • 69
    • 0011635934 scopus 로고
    • A preliminary report on a general theory of inductive inference
    • Technical Report ZTB-138, Zator Company, Cambridge, MA, November
    • R.J. Solomonoff, A preliminary report on a general theory of inductive inference, Technical Report ZTB-138, Zator Company, Cambridge, MA, November 1960.
    • (1960)
    • Solomonoff, R.J.1
  • 70
    • 50549204079 scopus 로고
    • A formal theory of inductive inference, Parts I and II
    • 1-22 and
    • R.J. Solomonoff, A formal theory of inductive inference, Parts I and II, Information and Control 7 (1964) 1-22 and 224-254.
    • (1964) Information and Control , vol.7 , pp. 224-254
    • Solomonoff, R.J.1
  • 74
    • 33750330421 scopus 로고
    • (Reprinted in Selected Mathematical Papers of Axel Thue, T. Nagell, editor, Universitetsforlaget, Oslo
    • (Reprinted in Selected Mathematical Papers of Axel Thue, T. Nagell, editor, Universitetsforlaget, Oslo, 1977, 139-158.)
    • (1977) , pp. 139-158
  • 75
    • 0002647237 scopus 로고
    • Über die gegenseitige Lage gleicher Teile gewisser Zeichenreihen
    • A. Thue, Über die gegenseitige Lage gleicher Teile gewisser Zeichenreihen, Norske vid. Selsk. Skr. Mat. Nat. Kl. 1 (1912) 1-67.
    • (1912) Norske Vid. Selsk. Skr. Mat. Nat. Kl. , vol.1 , pp. 1-67
    • Thue, A.1
  • 76
    • 33750349632 scopus 로고
    • (Reprinted in Selected Mathematical Papers of Axel Thue, T. Nagell, editor, Universitetsforlaget, Oslo
    • (Reprinted in Selected Mathematical Papers of Axel Thue, T. Nagell, editor, Universitetsforlaget, Oslo, 1977, 413-478.)
    • (1977) , pp. 413-478
  • 77
    • 0036083579 scopus 로고    scopus 로고
    • Sequence complexity profiles of prokaryotic genomic sequences: A fast algorithm for calculating linguistic complexity
    • O. Troyanskaya, O. Arbell, Y. Koren, G. Landau, and A. Bolshoy, Sequence complexity profiles of prokaryotic genomic sequences: A fast algorithm for calculating linguistic complexity, Bioinformatics 18 (2002) 679-688.
    • (2002) Bioinformatics , vol.18 , pp. 679-688
    • Troyanskaya, O.1    Arbell, O.2    Koren, Y.3    Landau, G.4    Bolshoy, A.5
  • 78
    • 0017493286 scopus 로고
    • A universal algorithm for sequential data compression
    • J. Ziv and A. Lempel, A universal algorithm for sequential data compression, IEEE Trans. Inform. Theory 23(3) (1977) 337-343.
    • (1977) IEEE Trans. Inform. Theory , vol.23 , Issue.3 , pp. 337-343
    • Ziv, J.1    Lempel, A.2
  • 79
    • 0018019231 scopus 로고
    • Compression of individual sequences via variable-rate coding
    • J. Ziv and A. Lempel, Compression of individual sequences via variable-rate coding, IEEE Trans. Inform. Theory 24(5) (1978) 530-536.
    • (1978) IEEE Trans. Inform. Theory , vol.24 , Issue.5 , pp. 530-536
    • Ziv, J.1    Lempel, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.