Garden of Eden configurations for cellular automata on Cayley graphs of groups
SIAM Journal on Discrete Mathematics
Information dynamics of cellular automata I: an algebraic study
Fundamenta Informaticae - Special issue on cellular automata
Theory of Self-Reproducing Automata
Theory of Self-Reproducing Automata
On Algebraic Structure of Neighborhoods of Cellular Automata: Horse Power Problem
Fundamenta Informaticae - Special issue on DLT'04
Tessellations with local transformations
Journal of Computer and System Sciences
Changing the neighborhood of cellular automata
MCU'07 Proceedings of the 5th international conference on Machines, computations, and universality
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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.