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An algorithm for generating necklaces of beads in two colors

โœ Scribed by Harold Fredricksen; Irving J. Kessler


Publisher
Elsevier Science
Year
1986
Tongue
English
Weight
491 KB
Volume
61
Category
Article
ISSN
0012-365X

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โœฆ Synopsis


In this paper we describe the necklaces of beads of length n in two colors and their equivalence to binary cycles ,from a circulating register of length n. We exhibit a correspondence between the binary cycles of length n and the lexicographic compositions of the integer n. We then give algorithms to generate the necklaces and the lexicographic compositions. We compare our algorithms to an exhaustive algorithm for generating the necklaces. We also give an algorithm for generating all necklaces of a specific density.


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