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Fermat Eccentric Distance Sum Of Extended Vicsek Networks

Author

Listed:
  • WENJIE WANG

    (School of Mathematical Sciences, Beihang University, Beijing 10083, P. R. China)

  • XIANGYU LIANG

    (School of Mathematical Sciences, Beihang University, Beijing 10083, P. R. China)

  • CHENG ZENG

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

  • YUMEI XUE

    (School of Mathematical Sciences, Beihang University, Beijing 10083, P. R. China)

  • LULU PENG

    (School of Mathematical Sciences, Beihang University, Beijing 10083, P. R. China)

Abstract

In this paper, we study Vicsek polygons and extended Vicsek networks, which are an extension of Vicsek fractal. Our research indices are some Fermat-type indices, including the Fermat eccentricity and the Fermat eccentric distance sum. Fermat-type indices are novel graph invariants with vast potential in research on structure–activity and quantitative structure–property. By the approach of finite pattern, we solve some integrals to gain their asymptotic formulas on Fermat eccentricity and Fermat eccentric distance sum.

Suggested Citation

  • Wenjie Wang & Xiangyu Liang & Cheng Zeng & Yumei Xue & Lulu Peng, 2023. "Fermat Eccentric Distance Sum Of Extended Vicsek Networks," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 31(09), pages 1-10.
    • Handle: RePEc:wsi:fracta:v:31:y:2023:i:09:n:s0218348x23501001
    DOI: 10.1142/S0218348X23501001
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