One-Dimensional Cellular Automata with Reflective Boundary Conditions and Radius Three

• Authors: H. Akin , I. Siap , S. Uguz
• Languages of publication: EN

Abstracts

EN

A family of one-dimensional finite linear cellular automata with reflective boundary condition over the field Z_p is defined. The generalizations are the radius and the field that states take values. Here, we establish a connection between reversibility of cellular automata and the rule matrix of the cellular automata with radius three. Also, we prove that the reverse CA of this family again falls into this family.

Keywords

EN

02.10.Yn; 07.05.Kf; 02.10.Ox

Discipline

• 02.10.Yn: Matrix theory
• 02.10.Ox: Combinatorics; graph theory
• 07.05.Kf: Data analysis: algorithms and implementation; data management(for data analysis in nuclear physics, see 29.85.-c)

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2014
• Volume: 125
• Issue: 2
• Pages: 405-407

Dates

published

2014-02

Contributors

author

H. Akin

• Department of Mathematics, Education Faculty, Zirve University, 27260, Gaziantep, Turkey

author

I. Siap

• Department of Mathematics, Faculty of Art and Sciences, Yildiz Technical University, 34210, Istanbul, Turkey

author

S. Uguz

• Department of Mathematics, Faculty of Art and Sciences, Harran University, 63000, Istanbul, Turkey

References

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Identifiers

DOI

10.12693/APhysPolA.125.405