Huang, Yufei; Liu, Bolian Fully indecomposable bases of primitive non-powerful sign pattern matrices. (Chinese. English summary) Zbl 1363.15050 J. South China Norm. Univ., Nat. Sci. Ed. 48, No. 4, 88-94 (2016). MSC: 15B35 05C50 PDFBibTeX XMLCite \textit{Y. Huang} and \textit{B. Liu}, J. South China Norm. Univ., Nat. Sci. Ed. 48, No. 4, 88--94 (2016; Zbl 1363.15050)
Huang, Yufei; Liu, Bolian Structural indices of combinatorial matrixes – the systematization of combinatorial matrix indices. (Chinese. English summary) Zbl 1363.15014 Adv. Math., Beijing 45, No. 2, 161-175 (2016). MSC: 15A16 15B35 05C50 PDFBibTeX XMLCite \textit{Y. Huang} and \textit{B. Liu}, Adv. Math., Beijing 45, No. 2, 161--175 (2016; Zbl 1363.15014)
You, Zhifu; Liu, Bolian On the Laplacian spread of graphs. (English) Zbl 1293.05215 Util. Math. 91, 327-337 (2013). MSC: 05C50 15A18 PDFBibTeX XMLCite \textit{Z. You} and \textit{B. Liu}, Util. Math. 91, 327--337 (2013; Zbl 1293.05215)
Liu, Bolian; Liu, Muhuo; You, Zhifu The majorization theorem for signless Laplacian spectral radii of connected graphs. (English) Zbl 1263.05062 Graphs Comb. 29, No. 2, 281-287 (2013). MSC: 05C50 05C07 05C35 15B48 PDFBibTeX XMLCite \textit{B. Liu} et al., Graphs Comb. 29, No. 2, 281--287 (2013; Zbl 1263.05062) Full Text: DOI
Liu, Muhuo; You, Lihua; Liu, Bolian The proof of a conjecture on the Lewin number of primitive non-powerful signed digraphs. (English) Zbl 1258.05044 Linear Algebra Appl. 438, No. 5, 2366-2377 (2013). MSC: 05C22 15A09 15B48 PDFBibTeX XMLCite \textit{M. Liu} et al., Linear Algebra Appl. 438, No. 5, 2366--2377 (2013; Zbl 1258.05044) Full Text: DOI
Liu, Mu Huo; Liu, Bo Lian Some results on the majorization theorem of connected graphs. (English) Zbl 1334.05066 Acta Math. Sin., Engl. Ser. 28, No. 2, 371-378 (2012). MSC: 05C35 15B48 05C50 PDFBibTeX XMLCite \textit{M. H. Liu} and \textit{B. L. Liu}, Acta Math. Sin., Engl. Ser. 28, No. 2, 371--378 (2012; Zbl 1334.05066) Full Text: DOI
Wang, Shouzhong; Huang, Yufei; Liu, Bolian On a conjecture for the sum of Laplacian eigenvalues. (English) Zbl 1255.05118 Math. Comput. Modelling 56, No. 3-4, 60-68 (2012). MSC: 05C50 15A18 PDFBibTeX XMLCite \textit{S. Wang} et al., Math. Comput. Modelling 56, No. 3--4, 60--68 (2012; Zbl 1255.05118) Full Text: DOI
Liu, Muhuo; Liu, Bolian Some results on the spectral radii of trees, unicyclic and bicyclic graphs. (English) Zbl 1253.05097 Electron. J. Linear Algebra 23, 327-339 (2012). MSC: 05C50 05C05 05C07 05C35 15B48 PDFBibTeX XMLCite \textit{M. Liu} and \textit{B. Liu}, Electron. J. Linear Algebra 23, 327--339 (2012; Zbl 1253.05097) Full Text: Link
You, Zhifu; Liu, Bolian The Laplacian spread of graphs. (English) Zbl 1245.05089 Czech. Math. J. 62, No. 1, 155-168 (2012). MSC: 05C50 15A18 PDFBibTeX XMLCite \textit{Z. You} and \textit{B. Liu}, Czech. Math. J. 62, No. 1, 155--168 (2012; Zbl 1245.05089) Full Text: DOI EuDML Link
Liu, Muhuo; Liu, Bolian New method and new results on the order of spectral radius. (English) Zbl 1238.05164 Comput. Math. Appl. 63, No. 3, 679-686 (2012). MSC: 05C50 15A18 PDFBibTeX XMLCite \textit{M. Liu} and \textit{B. Liu}, Comput. Math. Appl. 63, No. 3, 679--686 (2012; Zbl 1238.05164) Full Text: DOI
Huang, Yufei; Liu, Bolian Generalized \(r\)-exponents of primitve digraphs. (English) Zbl 1234.05152 Taiwanese J. Math. 15, No. 5, 1999-2012 (2011). MSC: 05C50 05C20 15A09 15B48 PDFBibTeX XMLCite \textit{Y. Huang} and \textit{B. Liu}, Taiwanese J. Math. 15, No. 5, 1999--2012 (2011; Zbl 1234.05152) Full Text: DOI
Liu, Muhuo; Liu, Bolian On the spectral radii and the signless Laplacian spectral radii of c-cyclic graphs with fixed maximum degree. (English) Zbl 1226.05138 Linear Algebra Appl. 435, No. 12, 3045-3055 (2011). MSC: 05C35 05C38 05C22 15B48 05C50 PDFBibTeX XMLCite \textit{M. Liu} and \textit{B. Liu}, Linear Algebra Appl. 435, No. 12, 3045--3055 (2011; Zbl 1226.05138) Full Text: DOI
You, Zhifu; Liu, Bolian The signless Laplacian separator of graphs. (English) Zbl 1226.05174 Electron. J. Linear Algebra 22, 151-160 (2011). MSC: 05C50 15A18 PDFBibTeX XMLCite \textit{Z. You} and \textit{B. Liu}, Electron. J. Linear Algebra 22, 151--160 (2011; Zbl 1226.05174) Full Text: DOI EuDML EMIS
Liu, Muhuo; Liu, Bolian; Wei, Fuyi Graphs determined by their (signless) Laplacian spectra. (English) Zbl 1227.05185 Electron. J. Linear Algebra 22, 112-124 (2011). MSC: 05C50 15A18 15B36 PDFBibTeX XMLCite \textit{M. Liu} et al., Electron. J. Linear Algebra 22, 112--124 (2011; Zbl 1227.05185) Full Text: EuDML EMIS
Jiang, Xiaoyan; Liu, Yingluan; Liu, Bolian A further result on majorization theorem. (English) Zbl 1222.05115 Linear Multilinear Algebra 59, No. 9, 957-967 (2011). MSC: 05C35 15B48 05C50 PDFBibTeX XMLCite \textit{X. Jiang} et al., Linear Multilinear Algebra 59, No. 9, 957--967 (2011; Zbl 1222.05115) Full Text: DOI
Liu, Bolian; Chen, Siyuan Algebraic conditions for \(t\)-tough graphs. (English) Zbl 1224.05307 Czech. Math. J. 60, No. 4, 1079-1089 (2010). MSC: 05C50 05C75 15A18 PDFBibTeX XMLCite \textit{B. Liu} and \textit{S. Chen}, Czech. Math. J. 60, No. 4, 1079--1089 (2010; Zbl 1224.05307) Full Text: DOI EuDML
Liu, Muhuo; Liu, Bolian Some results on the Laplacian spectrum. (English) Zbl 1197.05091 Comput. Math. Appl. 59, No. 11, 3612-3616 (2010). MSC: 05C50 15A18 PDFBibTeX XMLCite \textit{M. Liu} and \textit{B. Liu}, Comput. Math. Appl. 59, No. 11, 3612--3616 (2010; Zbl 1197.05091) Full Text: DOI
Huang, Yufei; Liu, Bolian On a conjecture for fully indecomposable exponent and Hall exponent. (English) Zbl 1201.15014 Linear Multilinear Algebra 58, No. 5-6, 699-710 (2010). Reviewer: Jorma K. Merikoski (Tampere) MSC: 15B34 05C50 15B48 05B20 PDFBibTeX XMLCite \textit{Y. Huang} and \textit{B. Liu}, Linear Multilinear Algebra 58, No. 5--6, 699--710 (2010; Zbl 1201.15014) Full Text: DOI
Chen, Shexi; Liu, Bolian The scrambling index of symmetric primitive matrices. (English) Zbl 1204.15040 Linear Algebra Appl. 433, No. 6, 1110-1126 (2010). Reviewer: Hans Havlicek (Wien) MSC: 15B48 05C20 05C50 PDFBibTeX XMLCite \textit{S. Chen} and \textit{B. Liu}, Linear Algebra Appl. 433, No. 6, 1110--1126 (2010; Zbl 1204.15040) Full Text: DOI
Cheng, Bo; Liu, Bolian Primitive zero-symmetric sign pattern matrices with the maximum base. (English) Zbl 1193.15029 Linear Algebra Appl. 433, No. 2, 365-379 (2010). Reviewer: C. M. da Fonseca (Coimbra) MSC: 15B35 15A09 PDFBibTeX XMLCite \textit{B. Cheng} and \textit{B. Liu}, Linear Algebra Appl. 433, No. 2, 365--379 (2010; Zbl 1193.15029) Full Text: DOI
Li, Qian; Liu, Bolian; Stuart, Jeffrey Bounds on the \(k\)-th generalized base of a primitive sign pattern matrix. (English) Zbl 1196.15030 Linear Multilinear Algebra 58, No. 3-4, 355-366 (2010). Reviewer: Juan Ramon Torregrosa Sanchez (Valencia) MSC: 15B35 15A09 05C50 05C20 PDFBibTeX XMLCite \textit{Q. Li} et al., Linear Multilinear Algebra 58, No. 3--4, 355--366 (2010; Zbl 1196.15030) Full Text: DOI
Liang, Chaohua; Liu, Bolian; Huang, Yufei The \(k\)th lower bases of primitive non-powerful signed digraphs. (English) Zbl 1221.05190 Linear Algebra Appl. 432, No. 7, 1680-1690 (2010). MSC: 05C22 05C20 15A09 15B48 PDFBibTeX XMLCite \textit{C. Liang} et al., Linear Algebra Appl. 432, No. 7, 1680--1690 (2010; Zbl 1221.05190) Full Text: DOI
Liu, Muhuo; Liu, Bolian The signless Laplacian spread. (English) Zbl 1206.05064 Linear Algebra Appl. 432, No. 2-3, 505-514 (2010). Reviewer: Ambat Vijayakumar (Cochin) MSC: 05C50 15A42 15B36 PDFBibTeX XMLCite \textit{M. Liu} and \textit{B. Liu}, Linear Algebra Appl. 432, No. 2--3, 505--514 (2010; Zbl 1206.05064) Full Text: DOI
You, Zhifu; Liu, Bolian The minimum Laplacian spread of unicyclic graphs. (English) Zbl 1206.05066 Linear Algebra Appl. 432, No. 2-3, 499-504 (2010). Reviewer: Ambat Vijayakumar (Cochin) MSC: 05C50 15A18 PDFBibTeX XMLCite \textit{Z. You} and \textit{B. Liu}, Linear Algebra Appl. 432, No. 2--3, 499--504 (2010; Zbl 1206.05066) Full Text: DOI
Huang, Yufei; Liu, Bolian The index of maximum ambiguous density for irreducible non-powerful sign pattern matrices. (English) Zbl 1181.15038 Eur. J. Comb. 31, No. 1, 230-240 (2010). Reviewer: C. M. da Fonseca (Coimbra) MSC: 15B35 15B34 PDFBibTeX XMLCite \textit{Y. Huang} and \textit{B. Liu}, Eur. J. Comb. 31, No. 1, 230--240 (2010; Zbl 1181.15038) Full Text: DOI
Liu, Jianping; Liu, Bolian Generalization for Laplacian energy. (English) Zbl 1212.05160 Appl. Math., Ser. B (Engl. Ed.) 24, No. 4, 443-450 (2009). MSC: 05C50 15B36 15A42 PDFBibTeX XMLCite \textit{J. Liu} and \textit{B. Liu}, Appl. Math., Ser. B (Engl. Ed.) 24, No. 4, 443--450 (2009; Zbl 1212.05160) Full Text: DOI
Liu, Bolian On the largest spectral radius of nonregular graph. (Chinese. English summary) Zbl 1212.05159 Acta Math. Sci., Ser. A, Chin. Ed. 29, No. 2, 233-238 (2009). MSC: 05C50 15A18 15A42 PDFBibTeX XMLCite \textit{B. Liu}, Acta Math. Sci., Ser. A, Chin. Ed. 29, No. 2, 233--238 (2009; Zbl 1212.05159)
Liu, Bolian; Huang, Yufei; You, Zhifu On \(\lambda_{1}\)-extremal non-regular graphs. (English) Zbl 1189.05103 Electron. J. Linear Algebra 18, 735-744 (2009). MSC: 05C50 15B48 PDFBibTeX XMLCite \textit{B. Liu} et al., Electron. J. Linear Algebra 18, 735--744 (2009; Zbl 1189.05103) Full Text: EuDML EMIS
Liu, Bolian; Liu, Mu-Huo; You, Zhifu Erratum to “A note on the largest eigenvalue of non-regular graphs”. (English) Zbl 1173.05328 Electron. J. Linear Algebra 18, 64-68 (2009). MSC: 05C35 15B48 05C50 PDFBibTeX XMLCite \textit{B. Liu} et al., Electron. J. Linear Algebra 18, 64--68 (2009; Zbl 1173.05328) Full Text: EuDML EMIS
Liang, Yanting; Liu, Bolian; Lai, Hong-Jian Multi-\(g\) base index of primitive anti-symmetric sign pattern matrices. (English) Zbl 1221.15019 Linear Multilinear Algebra 57, No. 6, 535-546 (2009). Reviewer: Martin Plešinger (Liberec) MSC: 15B35 15A18 05C50 PDFBibTeX XMLCite \textit{Y. Liang} et al., Linear Multilinear Algebra 57, No. 6, 535--546 (2009; Zbl 1221.15019) Full Text: DOI
Liu, Muhuo; Liu, Bolian; You, Zhifu The majorization theorem of connected graphs. (English) Zbl 1183.05040 Linear Algebra Appl. 431, No. 5-7, 553-557 (2009). MSC: 05C35 15B48 05C50 PDFBibTeX XMLCite \textit{M. Liu} et al., Linear Algebra Appl. 431, No. 5--7, 553--557 (2009; Zbl 1183.05040) Full Text: DOI
Cheng, Bo; Liu, Bolian On the numbers of positive entries of reducible nonnegative matrices. (English) Zbl 1157.15026 Linear Algebra Appl. 430, No. 1, 308-317 (2009). Reviewer: Grozio Stanilov (Sofia) MSC: 15B48 05C20 05C50 PDFBibTeX XMLCite \textit{B. Cheng} and \textit{B. Liu}, Linear Algebra Appl. 430, No. 1, 308--317 (2009; Zbl 1157.15026) Full Text: DOI
Huang, Fengying; Liu, Bolian Pascal type matrices and generalized Pascal type matrices. (Chinese. English summary) Zbl 1174.15354 J. South China Norm. Univ., Nat. Sci. Ed. 2008, No. 1, 6-12 (2008). MSC: 15B36 15A09 15A23 33C05 PDFBibTeX XMLCite \textit{F. Huang} and \textit{B. Liu}, J. South China Norm. Univ., Nat. Sci. Ed. 2008, No. 1, 6--12 (2008; Zbl 1174.15354)
Liu, Bolian; Huang, Fengying A conjecture about lower multiexponent of primitive matrices. (English) Zbl 1165.15305 Comput. Math. Appl. 56, No. 8, 2100-2106 (2008). MSC: 15B48 05C20 PDFBibTeX XMLCite \textit{B. Liu} and \textit{F. Huang}, Comput. Math. Appl. 56, No. 8, 2100--2106 (2008; Zbl 1165.15305) Full Text: DOI
Liu, Bolian; Chen, Zhibo; Liu, Muhuo On graphs with the largest Laplacian index. (English) Zbl 1174.05078 Czech. Math. J. 58, No. 4, 949-960 (2008). MSC: 05C50 15A42 15B36 PDFBibTeX XMLCite \textit{B. Liu} et al., Czech. Math. J. 58, No. 4, 949--960 (2008; Zbl 1174.05078) Full Text: DOI EuDML Link
Li, Qian; Liu, Bolian Bounds on the \(k\)th multi-\(g\) base index of nearly reducible sign pattern matrices. (English) Zbl 1167.15013 Discrete Math. 308, No. 21, 4846-4860 (2008). Reviewer: Qing-Wen Wang (Shanghai) MSC: 15B33 15A03 05C20 05C22 PDFBibTeX XMLCite \textit{Q. Li} and \textit{B. Liu}, Discrete Math. 308, No. 21, 4846--4860 (2008; Zbl 1167.15013) Full Text: DOI
Chen, Shexi; Liu, Bolian Matrices with maximum \(k\)th local exponent in the class of doubly symmetric primitive matrices. (English) Zbl 1162.05030 Discrete Math. 308, No. 15, 3386-3392 (2008). MSC: 05C50 15B33 PDFBibTeX XMLCite \textit{S. Chen} and \textit{B. Liu}, Discrete Math. 308, No. 15, 3386--3392 (2008; Zbl 1162.05030) Full Text: DOI
Cheng, Bo; Liu, Bolian Imprimitive matrices of zeros and ones with extremal numbers of ones. (English) Zbl 1148.15013 Linear Algebra Appl. 429, No. 1, 293-301 (2008). Reviewer: Qing-Wen Wang (Shanghai) MSC: 15B36 15B48 15A63 PDFBibTeX XMLCite \textit{B. Cheng} and \textit{B. Liu}, Linear Algebra Appl. 429, No. 1, 293--301 (2008; Zbl 1148.15013) Full Text: DOI
Liu, Bolian; Li, Gang A note on the largest eigenvalue of non-regular graphs. (English) Zbl 1162.05334 Electron. J. Linear Algebra 17, 54-61 (2008). MSC: 05C50 15A18 PDFBibTeX XMLCite \textit{B. Liu} and \textit{G. Li}, Electron. J. Linear Algebra 17, 54--61 (2008; Zbl 1162.05334) Full Text: DOI EuDML Link
Cheng, Bo; Liu, Bolian The base sets of primitive zero-symmetric sign pattern matrices. (English) Zbl 1135.15014 Linear Algebra Appl. 428, No. 4, 715-731 (2008). Reviewer: Václav Burjan (Praha) MSC: 15B36 15B48 05B20 PDFBibTeX XMLCite \textit{B. Cheng} and \textit{B. Liu}, Linear Algebra Appl. 428, No. 4, 715--731 (2008; Zbl 1135.15014) Full Text: DOI
Liu, Bolian The period and base of a reducible sign pattern matrix. (English) Zbl 1127.15018 Discrete Math. 307, No. 23, 3031-3039 (2007). MSC: 15B57 05C50 PDFBibTeX XMLCite \textit{B. Liu}, Discrete Math. 307, No. 23, 3031--3039 (2007; Zbl 1127.15018) Full Text: DOI
Liu, Bolian; You, Lihua; Yu, Gexin On extremal matrices of second largest exponent by Boolean rank. (English) Zbl 1122.15002 Linear Algebra Appl. 422, No. 1, 186-197 (2007). Reviewer: Ralf Gramlich (Darmstadt) MSC: 15A03 15A09 15B48 15B36 05B20 PDFBibTeX XMLCite \textit{B. Liu} et al., Linear Algebra Appl. 422, No. 1, 186--197 (2007; Zbl 1122.15002) Full Text: DOI
Jiang, Zhiming; Wang, Zongyao; Liu, Bolian The index of convergence of nearly reducible block matrices. (Chinese. English summary) Zbl 1108.15020 J. Math. Res. Expo. 26, No. 3, 627-634 (2006). MSC: 15A45 05B20 15B36 PDFBibTeX XMLCite \textit{Z. Jiang} et al., J. Math. Res. Expo. 26, No. 3, 627--634 (2006; Zbl 1108.15020)
Liu, Bolian; You, Lihua Bounds on the base of primitive nearly reducible sign pattern matrices. (English) Zbl 1161.15301 Linear Algebra Appl. 418, No. 2-3, 863-881 (2006). MSC: 15A09 15B48 PDFBibTeX XMLCite \textit{B. Liu} and \textit{L. You}, Linear Algebra Appl. 418, No. 2--3, 863--881 (2006; Zbl 1161.15301) Full Text: DOI
Chen, Shexi; Liu, Bolian The \(k\)th local exponent of doubly symmetric primitive matrices. (English) Zbl 1129.05028 Appl. Math. Lett. 19, No. 4, 392-397 (2006). MSC: 05C50 15B33 PDFBibTeX XMLCite \textit{S. Chen} and \textit{B. Liu}, Appl. Math. Lett. 19, No. 4, 392--397 (2006; Zbl 1129.05028) Full Text: DOI
You, Lihua; Liu, Bolian; Shen, Jian \(r\)-indecomposable and \(r\)-nearly decomposable matrices. (English) Zbl 1084.15016 Linear Algebra Appl. 407, 105-116 (2005). Reviewer: Rabe von Randow (Bonn) MSC: 15B36 05C20 05C50 PDFBibTeX XMLCite \textit{L. You} et al., Linear Algebra Appl. 407, 105--116 (2005; Zbl 1084.15016) Full Text: DOI
Liu, Bolian Generalized exponents of Boolean matrices. (English) Zbl 1026.05050 Linear Algebra Appl. 373, 169-182 (2003). MSC: 05C20 05C50 05C38 15B48 PDFBibTeX XMLCite \textit{B. Liu}, Linear Algebra Appl. 373, 169--182 (2003; Zbl 1026.05050) Full Text: DOI
You, Lihua; Liu, Bolian; Zhou, Bo The index of convergence of a total digraph. (Chinese. English summary) Zbl 1021.05044 J. Math. Res. Expo. 23, No. 1, 163-168 (2003). MSC: 05C20 05C50 15B33 PDFBibTeX XMLCite \textit{L. You} et al., J. Math. Res. Expo. 23, No. 1, 163--168 (2003; Zbl 1021.05044)
Liu, Bolian; Lai, Hong-Jian Matrices in combinatorics and graph theory. (English) Zbl 0958.05003 Network Theory and Applications. 3. Dordrecht: Kluwer Academic Publishers. vii, 310 p. (2000). Reviewer: J.W.Moon (Edmonton) MSC: 05-02 05C50 15-02 05B20 PDFBibTeX XMLCite \textit{B. Liu} and \textit{H.-J. Lai}, Matrices in combinatorics and graph theory. Dordrecht: Kluwer Academic Publishers (2000; Zbl 0958.05003)
Zhou, Bo; Liu, Bolian On the convergent index set for Boolean matrices. (Chinese. English summary) Zbl 1054.15502 Adv. Math., Beijing 28, No. 5, 431-436 (1999). MSC: 15B36 PDFBibTeX XMLCite \textit{B. Zhou} and \textit{B. Liu}, Adv. Math., Beijing 28, No. 5, 431--436 (1999; Zbl 1054.15502)
Liu, Bolian On exponent of indecomposability for primitive Boolean matrices. (English) Zbl 0983.15019 Linear Algebra Appl. 298, No. 1-3, 1-8 (1999). MSC: 15B36 05B20 PDFBibTeX XMLCite \textit{B. Liu}, Linear Algebra Appl. 298, No. 1--3, 1--8 (1999; Zbl 0983.15019) Full Text: DOI
Liu, Bolian Generalized exponents of primitive, nearly reducible matrices. (English) Zbl 0977.05083 Ars Comb. 51, 229-239 (1999). Reviewer: Aleš Drápal (Praha) MSC: 05C50 15B48 PDFBibTeX XMLCite \textit{B. Liu}, Ars Comb. 51, 229--239 (1999; Zbl 0977.05083)
Liu, Bolian; Zhou, Bo; Li, Qiaoliang The generalized indices of convergence of Boolean matrices with non-zero trace. (Chinese. English summary) Zbl 0960.15015 Acta Math. Appl. Sin. 22, No. 4, 574-578 (1999). MSC: 15B36 05B20 05C20 PDFBibTeX XMLCite \textit{B. Liu} et al., Acta Math. Appl. Sin. 22, No. 4, 574--578 (1999; Zbl 0960.15015)
Zhou, Bo; Liu, Bolian Some results on compact graphs and supercompact graphs. (English) Zbl 0948.05034 J. Math. Study 32, No. 2, 133-136 (1999). MSC: 05C50 15B51 PDFBibTeX XMLCite \textit{B. Zhou} and \textit{B. Liu}, J. Math. Study 32, No. 2, 133--136 (1999; Zbl 0948.05034)
Liu, Bolian; Bo, Zhou On the Hall exponents of Boolean matrices. (English) Zbl 0935.05066 Linear Multilinear Algebra 46, No. 3, 165-175 (1999). MSC: 05C50 15B33 05B20 05C20 PDFBibTeX XMLCite \textit{B. Liu} and \textit{Z. Bo}, Linear Multilinear Algebra 46, No. 3, 165--175 (1999; Zbl 0935.05066) Full Text: DOI Link
Liu, Bolian; Bo, Zhou Estimates on strict Hall exponents. (English) Zbl 0927.05016 Australas. J. Comb. 19, 129-135 (1999). Reviewer: A.R.Kräuter (Leoben) MSC: 05B20 15B33 PDFBibTeX XMLCite \textit{B. Liu} and \textit{Z. Bo}, Australas. J. Comb. 19, 129--135 (1999; Zbl 0927.05016)
Bo, Zhou; Liu, Bolian Matrices with maximum exponents in the class of doubly stochastic primitive matrices. (English) Zbl 0919.15006 Discrete Appl. Math. 91, No. 1-3, 53-66 (1999). Reviewer: G.Bonanno (Davis) MSC: 15B51 05C50 PDFBibTeX XMLCite \textit{Z. Bo} and \textit{B. Liu}, Discrete Appl. Math. 91, No. 1--3, 53--66 (1999; Zbl 0919.15006) Full Text: DOI
Zhou, Bo; Liu, Bolian Convergent indices of Boolean matrices with \(s\)-cycle positive elements on exactly \(t\) rows. (Chinese. English summary) Zbl 1009.15007 Acta Math. Sin. 41, No. 3, 517-524 (1998). MSC: 15B36 05C20 05C50 PDFBibTeX XMLCite \textit{B. Zhou} and \textit{B. Liu}, Acta Math. Sin. 41, No. 3, 517--524 (1998; Zbl 1009.15007)
Cheng, Bo; Liu, Bolian Matrices of zeros and ones with the maximum jump number. (English) Zbl 0944.15018 Linear Algebra Appl. 277, No. 1-3, 83-95 (1998). Reviewer: M.E.Keating (London) MSC: 15B36 05B20 06A07 PDFBibTeX XMLCite \textit{B. Cheng} and \textit{B. Liu}, Linear Algebra Appl. 277, No. 1--3, 83--95 (1998; Zbl 0944.15018) Full Text: DOI
Bo, Zhou; Liu, Bolian On almost regular matrices. (English) Zbl 0917.15012 Util. Math. 54, 151-155 (1998). Reviewer: Costică Moroşanu (Iaşi) MSC: 15A42 15B48 PDFBibTeX XMLCite \textit{Z. Bo} and \textit{B. Liu}, Util. Math. 54, 151--155 (1998; Zbl 0917.15012)
Liu, Bolian; Li, Qiaoliang; Zhou, Bo The distribution of convergence indices of Boolean matrices with \(d\) diagonal elements. (Chinese. English summary) Zbl 0905.15006 J. Syst. Sci. Math. Sci. 18, No. 2, 154-158 (1998). MSC: 15B36 05B20 05C20 PDFBibTeX XMLCite \textit{B. Liu} et al., J. Syst. Sci. Math. Sci. 18, No. 2, 154--158 (1998; Zbl 0905.15006)
Liu, Bolian; Gao, Yubin; Shao, Yanling The extremal matrices of \(k\)th upper generalized exponent for primitive symmetric matrices. (Chinese. English summary) Zbl 0915.05027 Acta Math. Appl. Sin. 20, No. 4, 559-566 (1997). MSC: 05B20 05C50 15A99 PDFBibTeX XMLCite \textit{B. Liu} et al., Acta Math. Appl. Sin. 20, No. 4, 559--566 (1997; Zbl 0915.05027)
Zhou, Bo; Liu, Bolian On a conjecture about the strict Hall exponents of primitive matrices. (English) Zbl 0857.15007 Chin. Sci. Bull. 41, No. 15, 1319-1320 (1996). Reviewer: A.Lal (Kanpur) MSC: 15B36 05B20 PDFBibTeX XMLCite \textit{B. Zhou} and \textit{B. Liu}, Chin. Sci. Bull. 41, No. 15, 1319--1320 (1996; Zbl 0857.15007) Full Text: DOI
Liu, Bolian; Li, Qiaoliang A conjecture about the strict fully indecomposable exponents of primitive matrices. (English) Zbl 0855.15008 Sci. China, Ser. A 39, No. 1, 29-38 (1996). Reviewer: N.J.Pullman (Kingston/Ontario) MSC: 15B36 PDFBibTeX XMLCite \textit{B. Liu} and \textit{Q. Li}, Sci. China, Ser. A 39, No. 1, 29--38 (1996; Zbl 0855.15008)
Zhou, Bo; Liu, Bolian Characterization of the extreme matrices of convergent index for Boolean matrices with non-zero trace. (Chinese. English summary) Zbl 0873.15010 Adv. Math., Beijing 25, No. 6, 540-547 (1996). Reviewer: Zhang Jule (Wuhu) MSC: 15B36 PDFBibTeX XMLCite \textit{B. Zhou} and \textit{B. Liu}, Adv. Math., Beijing 25, No. 6, 540--547 (1996; Zbl 0873.15010)
Liu, Bolian; Li, Qiaoliang Estimation of convergence exponents of Boolean matrices with positive symmetric elements on exactly \(t\) rows. (Chinese. English summary) Zbl 0861.65039 Acta Math. Appl. Sin. 18, No. 4, 549-558 (1995). MSC: 65F30 05B20 15B36 PDFBibTeX XMLCite \textit{B. Liu} and \textit{Q. Li}, Acta Math. Appl. Sin. 18, No. 4, 549--558 (1995; Zbl 0861.65039)
Liu, Bolian; Shao, Jiayu; Wu, Xiaojun The exact upper bounds for index of convergence of doubly stochastic matrices. (Chinese. English summary) Zbl 0833.15022 Acta Math. Sin. 38, No. 4, 433-441 (1995). Reviewer: Yang Yingchen (Beijing) MSC: 15B51 15A45 PDFBibTeX XMLCite \textit{B. Liu} et al., Acta Math. Sin. 38, No. 4, 433--441 (1995; Zbl 0833.15022)
Liu, Bolian Weak exponent of irreducible matrices. (English) Zbl 0830.15014 J. Math. Res. Expo. 14, No. 1, 35-41 (1994). Reviewer: Yang Yingchen (Beijing) MSC: 15B36 15B57 PDFBibTeX XMLCite \textit{B. Liu}, J. Math. Res. Expo. 14, No. 1, 35--41 (1994; Zbl 0830.15014)
Liu, Bolian; Li, Qiaoliang Exact upper bound of convergence index for Boolean matrices with non-zero trace. (Chinese. English summary) Zbl 0818.15011 Adv. Math., Beijing 23, No. 4, 331-335 (1994). Reviewer: J.Zhang (Wuhu) MSC: 15B36 15A45 PDFBibTeX XMLCite \textit{B. Liu} and \textit{Q. Li}, Adv. Math., Beijing 23, No. 4, 331--335 (1994; Zbl 0818.15011)
Liu, Bolian; Shao, Jiayu The index of convergence of Boolean matrices with non-zero trace. (Chinese. English summary) Zbl 0818.15010 Adv. Math., Beijing 23, No. 4, 322-330 (1994). Reviewer: J.Zhang (Wuhu) MSC: 15B36 15A45 PDFBibTeX XMLCite \textit{B. Liu} and \textit{J. Shao}, Adv. Math., Beijing 23, No. 4, 322--330 (1994; Zbl 0818.15010)
Liu, Bolian Supremum for ergodic exponents of doubly stochastic primitive matrices of order \(n\). (Chinese. English summary) Zbl 0810.15011 Chin. Ann. Math., Ser. A 15, No. 1, 98-107 (1994). Reviewer: J.Zhang (Wuhu) MSC: 15B51 60J10 37A99 PDFBibTeX XMLCite \textit{B. Liu}, Chin. Ann. Math., Ser. A 15, No. 1, 98--107 (1994; Zbl 0810.15011)
Liu, Bolian On the index of convergence for imprimitive Boolean matrices. (English) Zbl 0797.15014 Southeast Asian Bull. Math. 18, No. 1, 89-95 (1994). Reviewer: K.Burian (Havířov) MSC: 15B36 15A45 PDFBibTeX XMLCite \textit{B. Liu}, Southeast Asian Bull. Math. 18, No. 1, 89--95 (1994; Zbl 0797.15014)
Liu, Bolian Maximum \(m.n.g.\)-inverses of Boolean matrices. (English) Zbl 0815.15002 Bull. Malays. Math. Soc., II. Ser. 16, No. 2, 39-46 (1993). Reviewer: J.Zhang (Wuhu) MSC: 15A09 15B36 05B20 PDFBibTeX XMLCite \textit{B. Liu}, Bull. Malays. Math. Soc., II. Ser. 16, No. 2, 39--46 (1993; Zbl 0815.15002)
Liu, Bolian On fully indecomposable exponent for primitive Boolean matrices with symmetric ones. (English) Zbl 0772.05067 Linear Multilinear Algebra 31, No. 1-4, 131-138 (1992). Reviewer: A.Torgašev (Beograd) MSC: 05C50 05B20 15A99 PDFBibTeX XMLCite \textit{B. Liu}, Linear Multilinear Algebra 31, No. 1--4, 131--138 (1992; Zbl 0772.05067) Full Text: DOI
Shao, Jiayu; Liu, Bolian The ergodic property for the number of positive elements in primitive extremal matrices. (Chinese) Zbl 0766.15026 Acta Math. Sin. 35, No. 5, 667-672 (1992). Reviewer: Li Shaokuan (Shanghai) MSC: 15B48 05C35 05C40 PDFBibTeX XMLCite \textit{J. Shao} and \textit{B. Liu}, Acta Math. Sin. 35, No. 5, 667--672 (1992; Zbl 0766.15026)
Liu, Bolian; Cheng, Bo A conjecture on the exponent of nearly decomposable matrices. (Chinese. English summary) Zbl 0766.15030 Appl. Math., J. Chin. Univ. 7, No. 4, 615-617 (1992). Reviewer: Yang Yingchen (Beijing) MSC: 15B57 05B20 15A23 PDFBibTeX XMLCite \textit{B. Liu} and \textit{B. Cheng}, Appl. Math., J. Chin. Univ. 7, No. 4, 615--617 (1992; Zbl 0766.15030)
Liu, Bolian; Shao, Jiayu Characterization of primitive extremal matrices. (English) Zbl 0744.15013 Sci. China, Ser. A 34, No. 7, 791-802 (1991). Reviewer: W.Wiȩsław (Wrocław) MSC: 15B36 05B20 PDFBibTeX XMLCite \textit{B. Liu} and \textit{J. Shao}, Sci. China, Ser. A 34, No. 7, 791--802 (1991; Zbl 0744.15013)
Brualdi, Richard A.; Liu, Bolian The polytope of even doubly stochastic matrices. (English) Zbl 0754.15017 J. Comb. Theory, Ser. A 57, No. 2, 243-253 (1991). Reviewer: F.Plastria (Brussels) MSC: 15B51 52B12 05C50 PDFBibTeX XMLCite \textit{R. A. Brualdi} and \textit{B. Liu}, J. Comb. Theory, Ser. A 57, No. 2, 243--253 (1991; Zbl 0754.15017) Full Text: DOI
Brualdi, Richard A.; Liu, Bolian Fully indecomposable exponents of primitive matrices. (English) Zbl 0736.05038 Proc. Am. Math. Soc. 112, No. 4, 1193-1201 (1991). Reviewer: J.W.Moon (Edmonton) MSC: 05C20 05C50 15B48 PDFBibTeX XMLCite \textit{R. A. Brualdi} and \textit{B. Liu}, Proc. Am. Math. Soc. 112, No. 4, 1193--1201 (1991; Zbl 0736.05038) Full Text: DOI
Liu, Bolian A note on the exponents of primitive (0,1) matrices. (English) Zbl 0711.15015 Linear Algebra Appl. 140, 45-51 (1990). Reviewer: N.J.Pullman MSC: 15B36 15B48 05B20 PDFBibTeX XMLCite \textit{B. Liu}, Linear Algebra Appl. 140, 45--51 (1990; Zbl 0711.15015) Full Text: DOI
Liu, Bailian On the distribution of the exponent set of primitive matrices. (Chinese) Zbl 0691.15011 Acta Math. Sin. 32, No. 6, 803-809 (1989). Reviewer: Y.C.Yang MSC: 15B57 PDFBibTeX XMLCite \textit{B. Liu}, Acta Math. Sin. 32, No. 6, 803--809 (1989; Zbl 0691.15011)