21 citations · 39 across the 5 of their papers we have counts for
3 papers · 1 filter
Conditional traffic-like rules for particle-flow simulation in cellular automata
B. Wolnik, D. M. Falkiewicz, W. Bołt +2
This paper presents a novel approach to the description and understanding of two-dimensional binary cellular automata with the Moore neighborhood that preserve the number of active…
Cellular automata can really solve the parity problem
Barbara Wolnik, Anna Nenca, Pedro Paulo Balbi +1
Determining properties of an arbitrary binary sequence is a challenging task if only local processing is allowed. Among these properties, the determination of the parity of 1s by d…
Number-conserving cellular automata with a von Neumann neighborhood of range one
Barbara Wolnik, Adam Dzedzej, Jan M. Baetens +1
We present necessary and sufficient conditions for a cellular automaton with a von Neumann neighborhood of range one to be number-conserving. The conditions are formulated for any…