FRACTAL DIMENSION OF SUBSTITUTION TREE NETWORKS
QINGCHENG ZENG, YUMEI XUE, Daohua Wang, Ying Miao · Fractals · 2025
Substitution networks can be constructed inductively based on multiple colored initial graphs. In this paper, we obtain a relationship between the row sums of power of a nonnegative matrix and its spectral radius. Furthermore, we investigate the substitution networks with colored initial directed trees and obtain their Hausdorff dimensions introduced by Xi et al.