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Open Access Green as soon as Postprint is submitted to ZB.
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.
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Publication type
Article: Journal article
Document type
Scientific Article
Keywords
complex networks; statistical-mechanics; pattern-formation; topology; computation; robustness; stability; emergence; model
ISSN (print) / ISBN
0375-9601
e-ISSN
1873-2429
Journal
Physics Letters A
Quellenangaben
Volume: 373,
Issue: 5,
Pages: 546-549
Publisher
Elsevier
Non-patent literature
Publications
Reviewing status
Peer reviewed