Kirchhoff index of a class of polygon networks

Daohua Wang, Cheng Zeng, Zixuan Zhao, Zhiqiang Wu and Yumei Xue

Chaos, Solitons & Fractals, 2023, vol. 168, issue C

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.

Keywords: Polygon networks; Laplacian eigenvalues; Resistance distance; Kirchhoff index (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:168:y:2023:i:c:s0960077923000504

DOI: 10.1016/j.chaos.2023.113149

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