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Kirchhoff index of a class of polygon networks

Author

Listed:
  • Wang, Daohua
  • Zeng, Cheng
  • Zhao, Zixuan
  • Wu, Zhiqiang
  • Xue, Yumei

Abstract

The Kirchhoff index is a novel distance-based topological index corresponding to networks, which is the sum of resistance distances between all pairs of nodes. It plays an important role in describing the flow of a network. In this paper, we propose a polygon network model and derive the eigenvalue evolving rule between two generations of the network, and thus obtain the exact Kirchhoff index using the spectral graph theory.

Suggested Citation

  • Wang, Daohua & Zeng, Cheng & Zhao, Zixuan & Wu, Zhiqiang & Xue, Yumei, 2023. "Kirchhoff index of a class of polygon networks," Chaos, Solitons & Fractals, Elsevier, vol. 168(C).
    • Handle: RePEc:eee:chsofr:v:168:y:2023:i:c:s0960077923000504
    DOI: 10.1016/j.chaos.2023.113149
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    References listed on IDEAS

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