DOI: 10.1142/s0218348x24500324 ISSN: 0218-348X
THREE PROPERTIES OF FRACTAL NETWORKS BASED ON BEDFORD–MCMULLEN CARPET
JIAN ZHENG, CHENG ZENG, YUMEI XUE, XIAOHAN LI- Applied Mathematics
- Geometry and Topology
- Modeling and Simulation
In this paper, we consider the networks modeled by several self-affine sets based on the Bedford–Mcmullen carpet. We calculate three properties of the networks, including the cumulative degree distribution, the average clustering coefficient and the average path length. We show that such networks have scale-free and small-world effects.