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Decomposition of Necklaces
William Y.C.Chen1and Jun Wang2
1Center for Combinatorics, The Key Laboratory of Pure Mathematics and Combinatorics of Ministry of Education, Nankai University, Tianjin 300071, P.R. China
chenstation@yahoo.com
2Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, P.R. China
junwang@dlut.edu.cn
Annals of Combinatorics 5 (3) p.271-283 September, 2001
AMS Subject Classification: 05A05, 68R15
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.
Keywords: necklaces, MSS sequences, symbolic dynamics, discrete dynamical systems

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