Chen, Wenwen; Wang, Bing; Zhai, Mingqing Signless Laplacian spectral radius of graphs without short cycles or long cycles. (English) Zbl 1487.05155 Linear Algebra Appl. 645, 123-136 (2022). MSC: 05C50 05C35 05C38 PDFBibTeX XMLCite \textit{W. Chen} et al., Linear Algebra Appl. 645, 123--136 (2022; Zbl 1487.05155) Full Text: DOI
Lou, Zhenzhen; Zhai, Mingqing Proof of a conjecture on extremal spectral radii of blow-up graphs. (English) Zbl 1459.05180 Linear Algebra Appl. 617, 168-178 (2021). MSC: 05C50 05C35 PDFBibTeX XMLCite \textit{Z. Lou} and \textit{M. Zhai}, Linear Algebra Appl. 617, 168--178 (2021; Zbl 1459.05180) Full Text: DOI
Zhai, Mingqing; Xue, Jie; Lou, Zhenzhen The signless Laplacian spectral radius of graphs with a prescribed number of edges. (English) Zbl 1446.05063 Linear Algebra Appl. 603, 154-165 (2020). MSC: 05C50 05C12 05C35 PDFBibTeX XMLCite \textit{M. Zhai} et al., Linear Algebra Appl. 603, 154--165 (2020; Zbl 1446.05063) Full Text: DOI
Zhai, Mingqing; Wang, Bing; Fang, Longfei The spectral Turán problem about graphs with no 6-cycle. (English) Zbl 1437.05160 Linear Algebra Appl. 590, 22-31 (2020). MSC: 05C50 05C38 05C35 PDFBibTeX XMLCite \textit{M. Zhai} et al., Linear Algebra Appl. 590, 22--31 (2020; Zbl 1437.05160) Full Text: DOI
Zhai, Mingqing; Lin, Huiqiu; Gong, Shicai Spectral conditions for the existence of specified paths and cycles in graphs. (English) Zbl 1307.05152 Linear Algebra Appl. 471, 21-27 (2015). MSC: 05C50 05C38 PDFBibTeX XMLCite \textit{M. Zhai} et al., Linear Algebra Appl. 471, 21--27 (2015; Zbl 1307.05152) Full Text: DOI arXiv
Lin, Huiqiu; Zhai, Mingqing; Gong, Shicai On graphs with at least three distance eigenvalues less than \(-1\). (English) Zbl 1296.05123 Linear Algebra Appl. 458, 548-558 (2014). MSC: 05C50 05C12 PDFBibTeX XMLCite \textit{H. Lin} et al., Linear Algebra Appl. 458, 548--558 (2014; Zbl 1296.05123) Full Text: DOI
Zhai, Mingqing; Wang, Bing Proof of a conjecture on the spectral radius of \(C_4\)-free graphs. (English) Zbl 1247.05145 Linear Algebra Appl. 437, No. 7, 1641-1647 (2012). MSC: 05C50 PDFBibTeX XMLCite \textit{M. Zhai} and \textit{B. Wang}, Linear Algebra Appl. 437, No. 7, 1641--1647 (2012; Zbl 1247.05145) Full Text: DOI
Zhai, Mingqing; Lin, Huiqiu; Wang, Bing Sharp upper bounds on the second largest eigenvalues of connected graphs. (English) Zbl 1241.05089 Linear Algebra Appl. 437, No. 1, 236-241 (2012). MSC: 05C50 05C40 PDFBibTeX XMLCite \textit{M. Zhai} et al., Linear Algebra Appl. 437, No. 1, 236--241 (2012; Zbl 1241.05089) Full Text: DOI
Xu, Mimi; Hong, Yuan; Shu, Jinlong; Zhai, Mingqing The minimum spectral radius of graphs with a given independence number. (English) Zbl 1168.05335 Linear Algebra Appl. 431, No. 5-7, 937-945 (2009). MSC: 05C50 05C35 PDFBibTeX XMLCite \textit{M. Xu} et al., Linear Algebra Appl. 431, No. 5--7, 937--945 (2009; Zbl 1168.05335) Full Text: DOI
Zhai, Mingqing; Wu, Yarong; Shu, Jinlong Maximizing the spectral radius of bicyclic graphs with fixed girth. (English) Zbl 1227.05189 Linear Algebra Appl. 431, No. 5-7, 716-723 (2009). MSC: 05C50 05C38 PDFBibTeX XMLCite \textit{M. Zhai} et al., Linear Algebra Appl. 431, No. 5--7, 716--723 (2009; Zbl 1227.05189) Full Text: DOI
Liu, Ruifang; Zhai, Mingqing; Shu, Jinlong The least eigenvalue of unicyclic graphs with \(n\) vertices and \(k\) pendant vertices. (English) Zbl 1169.05349 Linear Algebra Appl. 431, No. 5-7, 657-665 (2009). MSC: 05C50 PDFBibTeX XMLCite \textit{R. Liu} et al., Linear Algebra Appl. 431, No. 5--7, 657--665 (2009; Zbl 1169.05349) Full Text: DOI
Zhai, Mingqing; Shu, Jinlong; Lu, Zhonghua Maximizing the Laplacian spectral radii of graphs with given diameter. (English) Zbl 1184.05081 Linear Algebra Appl. 430, No. 8-9, 1897-1905 (2009). MSC: 05C50 PDFBibTeX XMLCite \textit{M. Zhai} et al., Linear Algebra Appl. 430, No. 8--9, 1897--1905 (2009; Zbl 1184.05081) Full Text: DOI
Zhai, Mingqing; Liu, Ruifang; Shu, Jinlong On the spectral radius of bipartite graphs with given diameter. (English) Zbl 1226.05206 Linear Algebra Appl. 430, No. 4, 1165-1170 (2009). MSC: 05C70 05C12 05C50 05C35 PDFBibTeX XMLCite \textit{M. Zhai} et al., Linear Algebra Appl. 430, No. 4, 1165--1170 (2009; Zbl 1226.05206) Full Text: DOI