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Recurrent misconceptions in the study of CA reversibility on triangular grids

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Abstract
We present counterexamples illustrating that the characterization of the reversibility of linear cellular automata on finite triangular grids given by Uguz et al. [2017] and Uguz et al. [2019] is not valid, neither in the case of null boundary conditions nor in the case of periodic boundary conditions.
Keywords
Modelling and Simulation, Applied Mathematics, Two-dimensional cellular automata, reversibility, triangular grids, LINEAR CELLULAR-AUTOMATA

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MLA
Wolnik, Barbara, et al. “Recurrent Misconceptions in the Study of CA Reversibility on Triangular Grids.” INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, vol. 31, no. 1, 2021, doi:10.1142/s0218127421500140.
APA
Wolnik, B., Dziemiańczuk, M., & De Baets, B. (2021). Recurrent misconceptions in the study of CA reversibility on triangular grids. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 31(1). https://doi.org/10.1142/s0218127421500140
Chicago author-date
Wolnik, Barbara, Maciej Dziemiańczuk, and Bernard De Baets. 2021. “Recurrent Misconceptions in the Study of CA Reversibility on Triangular Grids.” INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS 31 (1). https://doi.org/10.1142/s0218127421500140.
Chicago author-date (all authors)
Wolnik, Barbara, Maciej Dziemiańczuk, and Bernard De Baets. 2021. “Recurrent Misconceptions in the Study of CA Reversibility on Triangular Grids.” INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS 31 (1). doi:10.1142/s0218127421500140.
Vancouver
1.
Wolnik B, Dziemiańczuk M, De Baets B. Recurrent misconceptions in the study of CA reversibility on triangular grids. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS. 2021;31(1).
IEEE
[1]
B. Wolnik, M. Dziemiańczuk, and B. De Baets, “Recurrent misconceptions in the study of CA reversibility on triangular grids,” INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, vol. 31, no. 1, 2021.
@article{8696630,
  abstract     = {{We present counterexamples illustrating that the characterization of the reversibility of linear cellular automata on finite triangular grids given by Uguz et al. [2017] and Uguz et al. [2019] is not valid, neither in the case of null boundary conditions nor in the case of periodic boundary conditions.}},
  articleno    = {{2150014}},
  author       = {{Wolnik, Barbara and Dziemiańczuk, Maciej and De Baets, Bernard}},
  issn         = {{0218-1274}},
  journal      = {{INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS}},
  keywords     = {{Modelling and Simulation,Applied Mathematics,Two-dimensional cellular automata,reversibility,triangular grids,LINEAR CELLULAR-AUTOMATA}},
  language     = {{eng}},
  number       = {{1}},
  pages        = {{6}},
  title        = {{Recurrent misconceptions in the study of CA reversibility on triangular grids}},
  url          = {{http://doi.org/10.1142/s0218127421500140}},
  volume       = {{31}},
  year         = {{2021}},
}

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