On the Spectra of Strong Power Graphs of Finite Groups |
Received:October 11, 2018 Revised:February 23, 2019 |
Key Words:
strong power graph cyclic group characteristic polynomial spectrum
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Fund Project:Supported by the National Natural Science Foundation of China (Grant No.11801441), the Scientific Research Program Funded by Shaanxi Provincial Education Department (Program No.18JK0623) and the Natural Science Foundation of Shaanxi Province (Grant No.2019JQ-056). |
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Abstract: |
Let $G$ be a finite group of order $n$. The strong power graph of $G$ is the undirected graph whose vertex set is $G$ and two distinct vertices $x$ and $y$ are adjacent if $x^{n_1}=y^{n_2}$ for some positive integers $n_1,n_2 |
Citation: |
DOI:10.3770/j.issn:2095-2651.2019.05.002 |
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