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3. O. Bodini and A. Jacquot, Boltzmann samplers for v-balanced cycles, Theoret. Comput. Sci. 502 (2013) 55-63.

4. E. Brugnoli, Enumerating the Walecki-type Hamiltonian cycle systems, J. Combin. Des. 25 (2017) 481-493.

5. W.Y.C. Chen, J.D. Louck and J. Wang, Adjacency and parity relations of words in discrete dynamical systems, J. Combin. Theory Ser. A 91 (2000) 476-508.

6. W.Y.C. Chen and J. Wang, Decomposition of necklaces, Ann. Comb. 5 (2001) 271-283.

7. W.J. Dai, K. Lv and J. Wang, Combinatorics on words in symbolic dynamics: the quadratic map, Acta Math. Sin. (Engl. Ser.) 24 (2008) 1985-1994.

8. W.J. Dai, K. Lv and J. Wang, Combinatorics on words in symbolic dynamics: the antisymmetric cubic map, Acta Math. Sin. (Engl. Ser.) 24 (2008) 1817-1834.

9. M.M. Ferrari and N. Zagaglia Salvi, Cyclic compositions and cycles of the hypercube, Aequationes Math. 92 (2018) 671-682.

10. P. Flener and J. Pearson, Solving necklace constraint problems, J. Algorithms 64 (2009) 61-73.

11. J.P. Gagnon, Colliers et bracelets, Master Thesis, Universite Laval Quebec, 2006.

12. J.A.C. Gallas, Counting orbits in conjugacy classes of the Hénon Hamiltonian repeller, Physics Letters A 360 (2007) 512-514.

13. Y. Kamiyama, Applications of the Lefschetz fixed point formula to closed surfaces with finite group actions, JP J. Geom. Topol. 12 (2012) 303-317.

14. Y. Kamiyama, Homology of the orbit space of a closed orientable surface under the action of $Z_n\times&space;Z_2$, Adv. Appl. Discrete Math. 10 (2012) 121-134.

15. Y. Kamiyama, The real moment-angle complex of a polygon and necklace sequences, Surveys in Mathematics and Mathematical Sciences, 3 (2013) 77-95.

16. J. Kelleher, Encoding partitions as ascending compositions, Ph.D. Thesis, the National University of Ireland, 2005.

17. P. Lightbody, T. Krajník and M. Hanheide, A versatile high-performance visual fiducial marker detection system with scalable identity encoding, In: Proceeding SAC'17 Proceedings of the Symposium on Applied Computing, 276-282, ACM, 2017.

18. P. Lightbody, T. Krajník and M. Hanheide, An efficient visual fiducial localisation system, Applied Computing Review 17 (2017) 28-37.

19. J.D. Louck and M.L.Stein, Relations between words and maps of the interval, Ann. Comb. 5 (2001) 425-449.

20. J.D. Louck and M.L. Stein, The (1+ 1)-Nonlinear Universe of the Parabolic Map and Combinatorics, World Scientific, 2015.

21. K.B. Lu, Some combinatorial properties of words in discrete dynamical systems from antisymmetric cubic maps, Acta Math. Sin. (Engl. Ser.) 29 (2013) 2181-2192.

22. K. McLellan, Periodic coefficients and random Fibonacci sequences, Ph.D. Thesis, Dalhousie University, 2012.

23. J. Sawada, Generating bracelets in constant amortized time, SIAM J. Comput. 31 (2001) 259-268.

24. Z.G. Yu and G.Y. Chen, Rescaled range and transition matrix analysis of DNA sequence, Commun. Theor. Phys. (Beijing) 33 (2000) 673.