Unicyclic Graphs with Exactly Three Main Eigenvalues

Derong Suna, Shuo Li, Qingsong Zou
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Abstract

In this work, unicyclic graphs with exactly three main Eigen values is studied by using the equitable partition of graphs. By depicting the characteristics of all unicyclic graphs with 3-portion equitable partition, it shows all these unicyclic graphs have exactly three main Eigen values. In addition, the calculation formula of three main Eigen values of these unicyclic graphs is given.
具有恰好三个主特征值的单环图
本文利用图的公平划分,研究了具有三个主特征值的单环图。通过对所有单环图的特征进行三部分均一划分,证明了所有单环图都有三个主特征值。此外,还给出了这些单环图的三个主要特征值的计算公式。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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