Necklaces, MSS sequences, and DNA sequences
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Publication:679032
DOI10.1006/AAMA.1996.0494zbMath0866.05006OpenAlexW1978048095MaRDI QIDQ679032
William Y. C. Chen, James D. Louck
Publication date: 8 July 1997
Published in: Advances in Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/aama.1996.0494
Exact enumeration problems, generating functions (05A15) Protein sequences, DNA sequences (92D20) Low-dimensional dynamical systems (37E99)
Related Items (10)
On word equations originated from discrete dynamical systems related to antisymmetric cubic maps with some applications ⋮ A chaotic lattice field theory in one dimension* ⋮ Cyclic compositions and cycles of the hypercube ⋮ Some combinatorial properties of words in discrete dynamical systems from antisymmetric cubic maps ⋮ Boltzmann samplers for \(v\)-balanced cycles ⋮ Counting orbits in conjugacy classes of the Hénon Hamiltonian repeller ⋮ Combinatorics on words in symbolic dynamics: The antisymmetric cubic map ⋮ Combinatorics on words in symbolic dynamics: The quadratic map ⋮ What is the effective impact of the explosive orbital growth in discrete-time one-dimensional polynomial dynamical systems? ⋮ Adjacency and parity relations of words in discrete dynamical systems
Cites Work
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- Classes of periodic sequences
- Symmetry types of periodic sequences
- Witt vectors and the algebra of necklaces
- MSS sequences, colorings of necklaces, and periodic points of \(f(z)=z^ 2-2\)
- Maximal words connected with unimodal maps
- Shift-maximal sequences in function iteration: Existence, uniqueness and multiplicity
- On the abundance of aperiodic behaviour for maps on the interval
- Classification of all cycles of the parabolic map
- Properties of words on four letters from those on two letters with an application to DNA sequences
- Derangements on the \(n\)-cube
- Quantitative universality for a class of nonlinear transformations
- On finite limit sets for transformations on the unit interval
- Induced Cycle Structures of the Hyperoctahedral Group
- Repetitive DNA sequences: Some considerations for simple sequence repeats
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