Open Access Green möglich sobald Postprint bei der ZB eingereicht worden ist.
Outer-totalistic cellular automata on graphs.
Phys. Lett. A 373, 546-549 (2009)
We present an intuitive formalism for implementing cellular automata on arbitrary topologies. By that means, we identify a symmetry operation in the class of elementary cellular automata. Moreover, we determine the subset of topologically sensitive elementary cellular automata and find that the overall number of complex patterns decreases under increasing neighborhood size in regular graphs. As exemplary applications, we apply the formalism to complex networks and compare the potential of scale-free graphs and metabolic networks to generate complex dynamics.
Altmetric
Weitere Metriken?
Zusatzinfos bearbeiten
[➜Einloggen]
Publikationstyp
Artikel: Journalartikel
Dokumenttyp
Wissenschaftlicher Artikel
Schlagwörter
complex networks; statistical-mechanics; pattern-formation; topology; computation; robustness; stability; emergence; model
ISSN (print) / ISBN
0375-9601
e-ISSN
1873-2429
Zeitschrift
Physics Letters A
Quellenangaben
Band: 373,
Heft: 5,
Seiten: 546-549
Verlag
Elsevier
Nichtpatentliteratur
Publikationen
Begutachtungsstatus
Peer reviewed