Regular Article: Acyclic Orientations of Random Graphs
Advances in Applied Mathematics
Elements of a theory of computer simulation I: sequential CA over random graphs
Applied Mathematics and Computation
Elements of a theory of simulation II: sequential dynamical systems
Applied Mathematics and Computation
Regular Article: Equivalence Relations on Finite Dynamical Systems
Advances in Applied Mathematics
Decomposition and simulation of sequential dynamical systems
Advances in Applied Mathematics
Computation of functions on n bits by asynchronous clocking of cellular automata
Natural Computing: an international journal
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Sequential dynamical systems have the property, that the updates of states of individual cells occur sequentially, so that the global update of the system depends on the order of the individual updates. This order is given by an order on the set of vertices of the dependency graph. It turns out that only a partial suborder is necessary to describe the global update. This paper defines and studies this partial order and its influence on the global update function.