Cellular Automata on Graphs: Topological Properties of ER Graphs Evolved towards Low-Entropy Dynamics

被引：12

作者：

Marr, Carsten ^{[2
]}

Huett, Marc-Thorsten ^{[1
]}

机构：

[1] Jacobs Univ Bremen, Sch Sci & Engn, D-28759 Bremen, Germany

[2] German Res Ctr Environm Hlth, Helmholtz Zentrum Munchen, Inst Bioinformat & Syst Biol, D-85764 Neuherberg, Germany

来源：

ENTROPY | 2012年 / 14卷 / 06期

关键词：

network dynamics; simulated evolution; cellular automata on graphs; dynamic probes; METABOLIC NETWORKS; COMPLEX NETWORKS; MODULARITY; EVOLUTION; MODEL; ORGANIZATION; ENVIRONMENTS; EMERGENCE; MOTIFS; CELLS;

D O I：

10.3390/e14060993

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Cellular automata (CA) are a remarkably efficient tool for exploring general properties of complex systems and spatiotemporal patterns arising from local rules. Totalistic cellular automata, where the update rules depend only on the density of neighboring states, are at the same time a versatile tool for exploring dynamical processes on graphs. Here we briefly review our previous results on cellular automata on graphs, emphasizing some systematic relationships between network architecture and dynamics identified in this way. We then extend the investigation towards graphs obtained in a simulated-evolution procedure, starting from Erdos-Renyi (ER) graphs and selecting for low entropies of the CA dynamics. Our key result is a strong association of low Shannon entropies with a broadening of the graph's degree distribution.

引用

页码：993 / 1010

页数：18