$A_{\alpha}$-Spectral Conditions for $(a, b, k)$-Factor-Critical Graphs and Fractional $ID$-$[a,b]$-Factor-Critical Covered Graphs
Received:January 23, 2025  Revised:July 09, 2025
Key Words: $A_{\alpha}$-spectral radius   $(a, b, k)$-factor   fractional $(g,f)$-factor   $ID$-factor-critical graph   independence number  
Fund Project:Supported by the National Natural Science Foundation of China (Grant Nos.11961041; 12261055), the Key Project of Natural Science Foundation of Gansu Province (Grant No.24JRRA222) and the Foundation for Innovative Fundamental Research Group Project of Gansu Province (Grant No.25JRRA805).
Author NameAffiliation
Yonglei CHEN Institute of Applied Mathematics, Lanzhou Jiaotong University, Gansu $730070$, P. R. China 
Fei WEN Institute of Applied Mathematics, Lanzhou Jiaotong University, Gansu 730070, P. R. China
School of Information Engineering, Tarim University, Xinjiang 843300, P. R. China
Gansu Center for Fundamental Research in Complex Systems Analysis and Control, Lanzhou Jiaotong University, Gansu 730070, P. R. China 
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DOI:10.3770/j.issn:2095-2651.2026.01.001
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