Year: 2026
Type: article
Abstract: Quantifying the self-similarity of complex networks via discrete fractal dimensions is a fundamental problem in network science. In this paper, we introduce a generalized framework for Sierpiński network families by allowing arbitrary intercopy edge connection patterns, and derive two associated families: touching-type and skeletal-type, formed by contracting inter-copy edges and intra-copy edges, respectively. By integrating the theory of self-similar touching networks with analysis of geodesic distances within these structures, we prove that all three families of generalized Sierpiński networks share the same discrete Hausdorff and mass dimensions.
Source: Fractals
Authors: Jiantao Liu, Cheng Zeng, Yumei Xue, Qingcheng Zeng
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Awards: G3864562958, G4205328865, G8987426777
OpenAlex ID: W7224836162