The Normalized Laplacian Spectrum Analysis of Fractal Mobius Octagonal Networks and its Applications
Combinatorics
2022-03-01 v1 Spectral Theory
Abstract
The study and calculation of spectrum of networks can be used to describe networks structure and quantify analysis of networks performance. The fractal M\"{o}bius octagonal networks, denoted by , is derived from the inverse identification of the opposite lateral edges of fractal linear octagonal networks. In this paper, the normalized Laplacian spectrum of is determined by two matrices and . As an important application of our results, some topological indices (multiplicative degree-Kirchhoff index, the number of spanning trees) formulas of are obtained.
Keywords
Cite
@article{arxiv.2202.13390,
title = {The Normalized Laplacian Spectrum Analysis of Fractal Mobius Octagonal Networks and its Applications},
author = {Jia-Bao Liu and Ting Zhang and Wenshui Lin},
journal= {arXiv preprint arXiv:2202.13390},
year = {2022}
}