Abstract
The neighborhood is a fundamental constituent of the cellular automaton (CA) and has been investigated in its own right by H.Nishio, M.Margenstern and F.von Haeseler(2004,2005). In this paper we ask a new question how the neighborhood affects the global behavior of CA and particularly gives some instances of CA where the global behavior does not depend on the neighborhood. We also discuss the conjectures that the injectivity is generally preserved from changing the neighborhood but the surjectivity is not.
The precursors were presented at the workshops held in Gdansk, September 2005 [7] and in Kyoto, January 2006 [8], respectively.
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Nishio, H. (2006). How Does the Neighborhood Affect the Global Behavior of Cellular Automata?. In: El Yacoubi, S., Chopard, B., Bandini, S. (eds) Cellular Automata. ACRI 2006. Lecture Notes in Computer Science, vol 4173. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11861201_17
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DOI: https://doi.org/10.1007/11861201_17
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-40929-8
Online ISBN: 978-3-540-40932-8
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