AVERAGE GEODESIC DISTANCE OF SIERPIŃSKI-TYPE NETWORKS-Reference-Cited by-同舟云学术

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AVERAGE GEODESIC DISTANCE OF SIERPIŃSKI-TYPE NETWORKS

Published:2022-04-25 Issue:04 Volume:30 Page:
ISSN:0218-348X
Container-title:Fractals
language:en
Short-container-title:Fractals

Author:

ZENG CHENG¹,HUANG YUKE²,XUE YUMEI³^ORCID

Affiliation:

1. School of Mathematics and Information Science, Shandong Technology and Business University, Yantai, Shandong Province 264003, P. R. China

2. School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, P. R. China

3. School of Mathematics and System Science, Beihang University, Beijing 100191, P. R. China

Abstract

The well-known Sierpiński square is a fractal generated by iterated function system (IFS). In this paper, we focus on a class of fractal networks created by IFS. We show a universal approach to solve the average geodesic distance of these fractal networks.

Funder

National Key Research and Development (R&D) Program Project

Beijing Science and Technology Commission Program

Publisher

World Scientific Pub Co Pte Ltd

Subject

Applied Mathematics,Geometry and Topology,Modeling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218348X22500888

Reference22 articles.

1. Topological characterization of the Sierpiński curve

2. Analysis on Fractals

3. Additive functions of intervals and Hausdorff measure

4. EXAMPLES OF USING BINARY CANTOR SETS TO STUDY THE CONNECTIVITY OF SIERPIŃSKI RELATIVES

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1. EDGE-HYPER-WIENER INDEX ON LEVEL-3 SIERPINSKI NETWORKS;Fractals;2024-08-17

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3. EDGE-WIENER INDEX OF SIERPINSKI FRACTAL NETWORKS;Fractals;2024-01

4. EDGE-WIENER INDEX OF LEVEL-3 SIERPINSKI SKELETON NETWORK;Fractals;2024-01

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