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Replaced article(s) found for nlin.CG. https://arxiv.org/list/nlin.CG/new
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- Essential metrics for Life on graphs
Michiel Rollier, Lucas Caldeira de Oliveira, Odemir M. Bruno, Jan M. Baetens

Essential metrics for Life on graphs
Michiel Rollier, Lucas Caldeira de Oliveira, Odemir M. Bruno, Jan M. Baetens
https://arxiv.org/abs/2506.21226 https://…

Essential metrics for Life on graphs
We present a strong theoretical foundation that frames a well-defined family of outer-totalistic network automaton models as a topological generalisation of binary outer-totalistic cellular automata, of which the Game of Life is one notable particular case. These "Life-like network automata" are quantitatively described by expressing their genotype (the mean field curve and Derrida curve) and phenotype (the evolution of the state and defect averages). After demonstrating that the genotype and p…