<div class="csl-bib-body">
<div class="csl-entry">Schaller, M., & Svozil, K. (2025). Orbits of one-dimensional cellular automata induced by symmetry transformations. <i>Physics Open</i>, <i>24</i>, Article 100298. https://doi.org/10.1016/j.physo.2025.100298</div>
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/220476
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dc.description.abstract
Using a group-theoretic approach, a method for determining the equivalence classes (also called orbits) of the set of rules of one-dimensional cellular automata induced by the symmetry operations of reflection and permutation and their product is presented. Orbits are classified by their isomorphism type. Results for the number of orbits and the number of orbits by type for state sets of size two and three are included.
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dc.description.sponsorship
FWF - Österr. Wissenschaftsfonds
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dc.language.iso
en
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dc.publisher
Elsevier BV
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dc.relation.ispartof
Physics Open
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dc.rights.uri
http://creativecommons.org/licenses/by/4.0/
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dc.subject
G-isomorphism
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dc.subject
One-dimensional cellular automata
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dc.subject
Symmetry transformations
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dc.title
Orbits of one-dimensional cellular automata induced by symmetry transformations
