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Fast Algorithms to Generate Necklaces, Unlabeled Necklaces, and Irreducible Polynomials over GF(2) (2000)  (Make Corrections)  
Kevin Cattell, et al.
J. Algorithms



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Abstract: this paper ## Sawada 23 developed an algorithm to generate k-ary bracelets in constant ## amortized time. Proskurowski et al. 17 show that the orbits of the ' Z. Z. Z . composition of b and d can be generated in amortized Oktime, which is CAT if k is fixed. It remains an interesting challenge to develop efficient algorithms for the other compositions (Update)

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BibTeX entry:   (Update)

@article{ cattell00fast,
    author = "Kevin Cattell and Frank Ruskey and Joe Sawada and Micaela Serra and C. Robert Miers",
    title = "Fast Algorithms to Generate Necklaces, Unlabeled Necklaces, and Irreducible Polynomials over {GF}(2)",
    journal = "J. Algorithms",
    volume = "37",
    number = "2",
    pages = "267-282",
    year = "2000",
    url = "citeseer.ist.psu.edu/cattell00fast.html" }
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5   Generating necklaces and strings with forbidden substrings - Ruskey, Sawada - 2000
2   Tools and Fundamental Constructions of Combinatorial Mathema.. (context) - Luneburg - 1989
2   Generating bracelets in constant amortized time - Sawada - 1999
1   An algorithm for generating necklaces of beads in two Z (context) - Fredricksen, Kessler - 1986
1   Necklaces of beads in k colors and k-ary de Bruijn Z (context) - Fredricksen, Maiorana - 1978
1   course notes for CSC (context) - Ruskey, generation - 1992
1   An efficient algorithm for generating necklaces with fixed Z - Ruskey, Sawada - 1999
1   Analysis of algorithms for listing equivalence Z (context) - Proskurowski, Ruskey et al. - 1998
1   Irreducible Polynomials, Synchronization Codes, Primitive Ne.. (context) - Golomb - 1967
1   Proc. ISSAC 96 (context) - Gathen, Gerhard et al. - 1996

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