3 papers
cs.DM2026
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…
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…
math.CO2024
K-Independent Boolean Networks
Julio Aracena, Raúl Astete-Elguin
This paper proposes a new parameter for studying Boolean networks: the independence number. We establish that a Boolean network is -independent if, for any set of variables…