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Some Zagreb-Type Indices Of Vicsek Polygon Graphs

Author

Listed:
  • ZHIQIANG WU

    (School of Mathematical Sciences, Beihang University, Beijing, 100083, P. R. China)

  • YUMEI XUE

    (School of Mathematical Sciences, Beihang University, Beijing, 100083, P. R. China)

  • HUIXIA HE

    (School of Mathematical Sciences, Beihang University, Beijing, 100083, P. R. China)

  • CHENG ZENG

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

  • WENJIE WANG

    (School of Mathematical Sciences, Beihang University, Beijing, 100083, P. R. China)

Abstract

Chemical graph theory plays an essential role in modeling and designing any chemical structure or chemical network. For a (molecular) graph, the Zagreb indices and the Zagreb eccentricity indices are well-known topological indices to describe the structure of a molecule or graph and can be used to predict properties such as the size and number of rings in a molecule, as well as the thermodynamic stability and reactivity of compounds. In this paper, we introduce a class of molecular models, namely, the Vicsek polygon graphs, which extend the traditional Vicsek networks. We compute the Zagreb indices and the Zagreb eccentricity indices of Vicsek polygon graphs by self-similarity and the recurrence relation based on the construction of graphs.

Suggested Citation

  • Zhiqiang Wu & Yumei Xue & Huixia He & Cheng Zeng & Wenjie Wang, 2024. "Some Zagreb-Type Indices Of Vicsek Polygon Graphs," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 32(03), pages 1-10.
    • Handle: RePEc:wsi:fracta:v:32:y:2024:i:03:n:s0218348x24500658
    DOI: 10.1142/S0218348X24500658
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