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Works cited by this work

49 works

Work: Structure and Reversibility of 2D von Neumann Cellular Automata Over Triangular Lattice

  1. Theory of Self-Reproducing Automata

    Jacob T. Schwartz, John von Neumann, Arthur W. Burks

    Article196713 citations
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  2. Statistical mechanics of cellular automata

    Stephen Wolfram

    Article198312 citations
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  3. 2D Cellular Automata with an Image Processing Application

    Selman Uǧuz, Uğur Şahin, İrfan Şiap +1

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  4. Matrix algebraic formulae concerning some exceptional rules of two-dimensional cellular automata

    Kajal Dihidar, Pabitra Pal Choudhury

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  5. Salt and pepper noise filtering with fuzzy-cellular automata

    Uğur Şahin, Selman Uǧuz, Ferat Sahin

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  6. On the irreversibility of Moore cellular automata over the ternary field and image application

    Selman Uǧuz, Hasan Akın, İrfan Şiap +1

    Article20168 citations
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  7. Edge detection with fuzzy cellular automata transition function optimized by PSO

    Selman Uǧuz, Uğur Şahin, Ferat Sahin

    Article20157 citations
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  8. Three-state von Neumann cellular automata and pattern generation

    Uğur Şahin, Selman Uǧuz, Hasan Akın +1

    Article20146 citations
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  9. VLSI architecture of a cellular automata machine

    Abdul Raouf Khan, Pabitra Pal Choudhury, Kajal Dihidar +2

    Article19976 citations
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  10. Structure and reversibility of 2D hexagonal cellular automata

    İrfan Şiap, Hasan Akın, Selman Uǧuz

    Article20116 citations
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  11. The Transition Rules of 2D Linear Cellular Automata Over Ternary Field and Self-Replicating Patterns

    Uğur Şahin, Selman Uǧuz, Hasan Akın

    Article20155 citations
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  12. Self-Replicating Patterns in 2D Linear Cellular Automata

    Selman Uǧuz, Uğur Şahin, Hasan Akın +1

    Article20145 citations
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  13. On behavior of two-dimensional cellular automata with an exceptional rule

    Ying Zhai, Zhong Yi, Deng Pei-min

    Article20085 citations
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  14. Reversibility of 2D cellular automata is undecidable

    Jarkko Kari

    Article19905 citations
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  15. Inversion of 2D cellular automata: some complexity results

    Bruno Durand

    Article19944 citations
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  16. REVERSIBILITY ALGORITHMS FOR 3-STATE HEXAGONAL CELLULAR AUTOMATA WITH PERIODIC BOUNDARIES

    Selman Uǧuz, Hasan Akın, İrfan Şiap

    Article20134 citations
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  17. Characterization of two-dimensional cellular automata over ternary fields

    İrfan Şiap, Hasan Akın, Ferhat ŞAH

    Article20103 citations
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  18. Endomorphisms and automorphisms of the shift dynamical system

    Gustav A. Hedlund

    Article19693 citations
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  19. Multi-value cellular automaton models and metastable states in a congested phase

    Katsuhiro Nishinari, Daisuke Takahashi

    Article20003 citations
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  20. 2-Dimensional Reversible Hexagonal Cellular Automata with Periodic Boundary

    Selman Uǧuz, İrfan Şiap, Hasan Akın

    Article20133 citations
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  21. Discrete Systems with Memory

    Ramón Alonso‐Sanz

    Book20112 citations
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  22. Inverse rules of ECA with rule number 150

    Luis Hernández Encinas, A. Martı́n del Rey

    Article20062 citations
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  23. Reversibility of 1D Cellular Automata with Periodic Boundary over Finite Fields $\pmb{ {\mathbb{Z}}}_{p}$

    Zübeyir Çınkır, Hasan Akın, İrfan Şiap

    Article20112 citations
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  24. Linear cellular automata and the garden-of-eden

    Klaus Sutner

    Article19892 citations
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  25. Simulating debris flows through a hexagonal cellular automata model: SCIDDICA S<sub>3–hex</sub>

    Donato D’Ambrosio, Salvatore Di Gregorio, Giulio Iovine

    Article20032 citations
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