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cs.CC2025
On the Dynamics of Bounded-Degree Automata Networks
Julio Aracena, Florian Bridoux, Maximilien Gadouleau +4
Automata networks can be seen as bare finite dynamical systems, but their growing theory has shown the importance of the underlying communication graph of such networks. This paper…
cs.DM2025
Hamiltonian dynamics of Boolean networks
Arturo Zapata-Cortés, Julio Aracena
This article examines the impact of Hamiltonian dynamics on the interaction graph of Boolean networks. Three types of dynamics are considered: maximum height, Hamiltonian cycle, an…