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Edge-Wiener Index Of Sierpinski Fractal Networks

Author

Listed:
  • YIQI YAO

    (School of Mathematics and Statistics, Ningbo University, Ningbo 315211, P. R. China)

  • CAIMIN DU

    (School of Mathematics and Statistics, Ningbo University, Ningbo 315211, P. R. China)

  • LIFENG XI

    (School of Mathematics and Statistics, Ningbo University, Ningbo 315211, P. R. China)

Abstract

The edge-Wiener index, an invariant index representing the summation of the distances between every pair of edges in the graph, has monumental influence on the study of chemistry and materials science. In this paper, drawing inspiration from Gromov’s idea, we use the finite pattern method proposed by Wang et al. [Average geodesic distance of Sierpinski gasket and Sierpinski networks, Fractals 25(5) (2017) 1750044] to figure out the exact formula of edge-Wiener index of the Sierpinski fractal networks.

Suggested Citation

  • Yiqi Yao & Caimin Du & Lifeng Xi, 2024. "Edge-Wiener Index Of Sierpinski Fractal Networks," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 32(01), pages 1-7.
  • Handle: RePEc:wsi:fracta:v:32:y:2024:i:01:n:s0218348x24500282
    DOI: 10.1142/S0218348X24500282
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