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Decomposition of Necklaces

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Abstract.

This work originates from a combinatorial understanding of a branching property of MSS (Metropolis-Stein-Stein) sequences in symbolic dynamics. It is known that MSS sequences are in one-to-one correspondence with equivalence classes of primitive necklaces on two colors under the exchange of colors. We present a branching property of primitive self-complementary necklaces, leading to a combinatorial explanation of an analogous property of MSS sequences.

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Received January 8, 2001

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Chen, W., Wang, J. Decomposition of Necklaces. Annals of Combinatorics 5, 271–283 (2001). https://doi.org/10.1007/s00026-001-8012-x

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  • DOI: https://doi.org/10.1007/s00026-001-8012-x

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