A Note on the $A_{\alpha}$-Spectral Radius of a Graph |
Received:January 04, 2022 Revised:May 08, 2022 |
Key Words:
graph $A_{\alpha}$-spectral radius Principal eigenvector
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Fund Project:Supported by the National Natural Science Foundation of China (Grant No.12171089) and the Natural Science Foundation of Fujian Province (Grant No.2021J02048). |
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Abstract: |
Let $G$ be a simple graph of order $n$ and $\rho_{\alpha}(G)$ be the $A_{\alpha}(G)$-spectral radius of $G$. In this note, for any vertex $v_i$ of $G$, we establish the relationship between $\rho_{\alpha}(G)$ and $\rho_{\alpha}(G-v_i)$. |
Citation: |
DOI:10.3770/j.issn:2095-2651.2023.01.001 |
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