AVERAGE DISTANCES OF LINDSTRÖM SNOWFLAKE NETWORKS

Bing Zhao (), Jiaqi Fan () and Lifeng Xi
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Bing Zhao: Department of Mathematics, Ningbo University, Ningbo 315211, P. R. China
Jiaqi Fan: Department of Mathematics, Ningbo University, Ningbo 315211, P. R. China
Lifeng Xi: Department of Mathematics, Ningbo University, Ningbo 315211, P. R. China†Key Laboratory of Computing and Stochastic Mathematics, (Ministry of Education), School of Mathematics and Statistics, Hunan Normal University, Changsha, Hunan 410081, P. R. China

FRACTALS (fractals), 2021, vol. 29, issue 03, 1-15

Abstract: In this paper, for renormalized Lindström Snowflake networks, we discuss the geodesic metric of their limit space which is quite different from the Euclidean metric on the Lindström Snowflake. Using the dihedral group, we simplify the geodesic patterns and obtain 10,850 patterns and thus calculate the limit of average distances on renormalized Lindström Snowflake networks.

Keywords: Fractal Network; Geodesic Metric; Geodesic Pattern; Dihedral Group (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1142/S0218348X21500675

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