DIRECT COUNTING ANALYSIS ON NETWORK GENERATED BY DISCRETE DYNAMICS
Shu-Hao Liou, Chia-Chu Chen · International Journal of Modern Physics B · 2012
A detail study on the in-degree distribution (ID) of cellular automata is obtained by exact enumeration. The results indicate large deviation from multi-scaling and classification according to various IDs are discussed. We further augment the transfer matrix such that the distributions for more complicated rules are obtained. Dependence of ID on the lattice size have also been found for some rules including R50 and R77.