AVERAGE GEODESIC DISTANCE OF SIERPIŃSKI NETWORKS ON TORUS
In this paper, we investigate the average geodesic distance on Sierpiński torus networks. We construct Sierpiński torus networks based on the classic Sierpiński carpet in an iterative way. By applying finite patterns on integrals, we deduce the exact value of the average geodesic distance of the Sierpiński torus. Furthermore, the asymptotic formula for the average geodesic distance of the corresponding networks can be obtained.
Authors
- Yumei Xue (ORCID: https://orcid.org/0000-0002-2103-0052)
- Cheng Zeng (ORCID: https://orcid.org/0000-0002-6630-4002)
- Lulu Peng (ORCID: https://orcid.org/0009-0009-2366-0945)
- Zixuan Zhao (ORCID: https://orcid.org/0009-0007-1624-1510)
Institutions
- Beihang University (CN)
- Shandong Institute of Business and Technology (CN)
Publication Details
- Journal
- Fractals
- Published
- 2024-10-07
- DOI
- https://doi.org/10.1142/s0218348x24501408
- Primary Topic
- Topological and Geometric Data Analysis
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Natural Science Foundation of China