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Volumn 301, Issue 1-3, 2003, Pages 321-340

Euclidean strings

Author keywords

Beatty sequence; Christoffel word; Euclidean algorithm; Fibonacci string; Lyndon word; Morphism; Rational mechanical sequence; Stern Brocot tree; Sturmian sequence

Indexed keywords

ALGORITHMS; GRAPH THEORY; POLYNOMIALS; TREES (MATHEMATICS);

EID: 0038709723     PISSN: 03043975     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0304-3975(02)00589-3     Document Type: Article
Times cited : (8)

References (18)
  • 3
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    • Sturmian words, Lyndon words and trees
    • Berstel J., de Luca A. Sturmian words, Lyndon words and trees. Theoret. Comput. Sci. 178:1997;171-203.
    • (1997) Theoret. Comput. Sci. , vol.178 , pp. 171-203
    • Berstel, J.1    De Luca, A.2
  • 6
    • 0012003053 scopus 로고
    • Palindromes in the Fibonacci word
    • Droubay X. Palindromes in the Fibonacci word. Inform. Process. Lett. 55:1995;217-221.
    • (1995) Inform. Process. Lett. , vol.55 , pp. 217-221
    • Droubay, X.1
  • 7
    • 0038551168 scopus 로고    scopus 로고
    • Embedding grids into cylinders, tori and hypercubes
    • to appear
    • J. Ellis, S. Chow, D. Manke, Embedding grids into cylinders, tori and hypercubes, SIAM J. Comput., to appear.
    • SIAM J. Comput.
    • Ellis, J.1    Chow, S.2    Manke, D.3
  • 9
    • 0002117473 scopus 로고
    • The bracket function and complementary sets of integers
    • Fraenkel A.S. The bracket function and complementary sets of integers. Canad. J. Math. 21:1967;6-27.
    • (1967) Canad. J. Math. , vol.21 , pp. 6-27
    • Fraenkel, A.S.1
  • 10
    • 0006937138 scopus 로고    scopus 로고
    • The exact number of squares in Fibonacci words
    • Fraenkel A.S., Simpson J. The exact number of squares in Fibonacci words. Theoret. Comput. Sci. 218:1999;95-106.
    • (1999) Theoret. Comput. Sci. , vol.218 , pp. 95-106
    • Fraenkel, A.S.1    Simpson, J.2
  • 13
    • 0031074030 scopus 로고    scopus 로고
    • A characterization of the squares in a Fibonacci string
    • Iliopoulos C.S., Moore D., Smyth W.F. 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.S.1    Moore, D.2    Smyth, W.F.3
  • 16
    • 0028740618 scopus 로고
    • Some combinatorial properties of Sturmian words
    • de Luca A., Mignosi F. Some combinatorial properties of Sturmian words. Theoret. Comput. Sci. 136:1994;361-385.
    • (1994) Theoret. Comput. Sci. , vol.136 , pp. 361-385
    • De Luca, A.1    Mignosi, F.2
  • 17
    • 0038212307 scopus 로고    scopus 로고
    • The number of Lyndon words and irreducible polynomials of given trace
    • Ruskey F., Miers C.R., Sawada J. The number of Lyndon words and irreducible polynomials of given trace. SIAM J. Discrete Math. 14:2001;240-245.
    • (2001) SIAM J. Discrete Math. , vol.14 , pp. 240-245
    • Ruskey, F.1    Miers, C.R.2    Sawada, J.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.