Publications
- Books
- Matrix Inequalities,
Lecture Notes in Mathematics 1790,
Springer-Verlag, Berlin, 2002.
Cover
- Matrix Theory,
Graduate Studies in Mathematics 147,
American Mathematical Society, Providence, 2013.
Cover
- Papers
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On a question of P. R. Halmos,
Linear and Multilinear Algebra 39 (1995), no.3, 255--258
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Computing the extremal positive definite solutions of a matrix equation,
SIAM J. Sci. Comput. 17 (1996), no. 5, 1167--1174
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(with J. Xie) On the matrix equation X+A^TX^{-1}A=I,
Linear Algebra Appl. 247 (1996), 337--345
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Inequalities for the singular values of Hadamard products,
SIAM J. Matrix Anal. Appl. 18 (1997), no. 4, 1093--1095
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(with E. Jiang) Lower bounds for the spread of a Hermitian matrix,
Linear Algebra Appl. 256 (1997), 153--163
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Inequalities involving Hadamard products and unitarily invariant norms,
Adv. in Math. (China) 27 (1998), no. 5, 416--422
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Inequalities for unitarily invariant norms,
SIAM J. Matrix Anal. Appl. 20 (1998), no. 2, 466--470
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(with T. Ando) Norm inequalities related to operator monotone functions,
Math. Ann. 315 (1999), no. 4, 771--780
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(with R. A. Horn) Inequalities for C-S seminorms and Lieb functions,
Linear Algebra Appl. 291 (1999), 103--113
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Norm inequalities for Cartesian decompositions,
Linear Algebra Appl. 286 (1999), 297--301
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Singular values of differences of positive semidefinite matrices,
SIAM J. Matrix Anal. Appl. 22 (2000), no.3, 819--823
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Some research problems on the Hadamard product and singular values of matrices,
Linear and Multilinear Algebra 47 (2000), no.2, 191--194
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(with R. Bhatia) Compact operators whose real and imaginary parts are positive,
Proc. Amer. Math. Soc. 129 (2001), no.8, 2277--2281
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Linear preservers that permute the entries of a matrix,
Amer. Math. Monthly 108 (2001), no.7, 643--645
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Span of the orthogonal orbit of real matrices,
Linear and Multilinear Algebra 49 (2001), 337--346
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(with F. Ding) On the unitary orbit of complex matrices,
SIAM J. Matrix Anal. Appl. 23 (2001) no.2, 511--516
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(with F. Hiai) Inequalities involving unitarily invariant norms and operator monotone functions,
Linear Algebra Appl. 341(2002), 151--169
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The sharp Rado theorem for majorizations,
Amer. Math. Monthly 110(2003), 152--153
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(with R. Bhatia) Norm inequalities for operators with positive real part,
J. Operator Theory 50(2003), 67--76
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On some matrix inequalities,
Linear Algebra Appl. 376(2004), 299--303
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(with F. Hiai) Submultiplicativity vs subadditivity for unitarily invariant norms,
Linear Algebra Appl. 377(2004), 155--164
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On singular numbers of tau-measurable operators,
J. of Shanghai University, Special issue dedicated to the 70th birthday of Professor Erxiong Jiang, 8(2004), no.4, 444--447
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(with Q. Hu and Y. Li) Possible numbers of ones in 0-1 matrices with a given rank,
Linear and Multilinear Algebra 53(2005), no.6, 435--443
pdf file
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Formulae for sums of consecutive square roots,
Math. Intelligencer 27(2005), no.4, 4--5
pdf file
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Extremal eigenvalues of real symmetric matrices with entries in an interval ,
SIAM J. Matrix Anal. Appl. 27(2006), no. 3, 851--860
pdf file
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Completion of a partial integral matrix to a unimodular matrix,
Linear Algebra Appl. 414(2006), 373--377
pdf file
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(with L. Qiu) On the span of Hadamard products of vectors,
Linear Algebra Appl. 422(2007), 304--307
pdf file
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Extremal numbers of positive entries of imprimitive nonnegative matrices,
Linear Algebra Appl. 424(2007), 132--138
pdf file
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Open problems in matrix theory,
in
Proceedings of the 4th International Congress of Chinese Mathematicians, Vol. I, edited by L. Ji, K. Liu, L. Yang and S.-T. Yau, Higher Education Press, Beijing, 2008, 367--382
pdf file
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(with R.A. Brualdi and P. Pei) An extremal sparsity property of the Jordan canonical form,
Linear Algebra Appl. 429(2008), 2367--2372
pdf file
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(with R.A. Brualdi and Z. Huang)
Singular, nonsingular, and bounded rank completions of ACI-matrices,
Linear Algebra Appl. 433(2010), 1452--1462
pdf file
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(with Z. Huang)
Digraphs that have at most one walk of a given length with the same endpoints,
Discrete Math., 311(2011), 70--79.
pdf file
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(with Z. Huang)
ACI-matrices all of whose completions have the same rank,
Linear Algebra Appl., 434 (2011), 1956--1967.
pdf file
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(with Z. Huang)
Extremal digraphs whose walks with the same initial
and terminal vertices have distinct lengths,
Discrete Math., 312(2012), 2203--2213.
pdf file
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(with Z. Huang)
Partial matrices all of whose completions have the same spectrum,
Linear Algebra Appl., 436(2012), 3061--3064.
pdf file
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(with C. Ma)
Extremal sparsity of the companion matrix of a polynomial,
Linear Algebra Appl., 438(2013), 621--625.
pdf file
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(with C. Ma)
Inverse invariant zero¨Cnonzero patterns,
Linear Algebra Appl., 443(2014), 184--190.
pdf file
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(with Z. Huang)
Nonsymmetric normal entry patterns with the maximum number of distinct indeterminates,
Linear Algebra Appl., 485(2015), 359--371.
pdf file
- (with S. Kirkland and P. Qiao)
Algebraically positive matrices,
Linear Algebra Appl., 504(2016), 14--26.
pdf file
- (with P. Qiao)
On vertex types of graphs,
Graph Combin., 34(2018), 889--900.
pdf file
- (with P. Qiao)
The maximum girth and minimum circumference of graphs with prescribed radius and diameter,
Discrete Math., 341(2018), 2827--2830.
pdf file
- (with P. Qiao)
The largest graphs with given order and diameter: A simple proof,
Graphs Combin., 35(2019), 1715--1716.
pdf file
- (with P. Qiao)
The minimum number of Hamilton cycles in a hamiltonian threshold graph of a prescribed order,
J. Graph Theory, 93(2020), 222--229.
pdf file
- (with P. Qiao)
Pairs of a tree and a nontree graph with the same status sequence,
Discrete Math., 343(2020), no.2, article number 111662.
pdf file
- (with P. Qiao)
The diameter and radius of radially maximal graphs,
Bull. Aust. Math. Soc., 104(2021), no.2, 196-202.
pdf file
- (with Y. Hu)
Possible cardinalities of the center of a graph,
Bull. Malays. Math. Soc., 44(2021), no.6, 3629-3636.
pdf file
- (with P. Qiao)
On a problem of Erdos about graphs whose size is the Turan number plus one,,
Bull. Aust. Math. Soc., 105(2022), no.2, 177-187.
pdf file
- (with Y. Hu)
Regular homogeneously traceable nonhamiltonian graphs,,
Discrete Appl. Math., 310(2022), 60-64.
pdf file
- (with P. Vrana and L. Zhang)
Every 3-connected claw-free graph with domination number at most 3 is hamiltonian-connected,,
Discrete Math., 345(2022), no.8, Paper No. 112909.
pdf file
- (with P. Qiao)
The relation between the number of leaves of a tree and its diameter,,
Czechoslovak Math. J., 72(2022), no.2, 365-369.
pdf file
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The maximum degree of a minimally hamiltonian-connected graph,,
Discrete Math., 345(2022), no.12, Paper No. 113159.
pdf file
- (with Y. Hu)
On almost self-centered graphs and almost peripheral graphs,,
Taiwanese J. Math., 26(2022), no.5, 887-901.
pdf file
- (with L. Zhang)
The maximum size of a nonhamiltonian graph with given order and connectivity,,
Discrete Math., 346(2023), no.1, Paper No. 113208.
pdf file
- (with P. Qiao)
Two-degree trees,
J. East China Norm. Univ. Natur. Sci. Ed., 2023, no. 2, 1¨C4.
pdf file
- (with Y. Hu and L. Zhang)
Graphs with many independent vertex cuts,
Graphs Combin., 40 (2024), no. 4, Paper No. 83.
pdf file
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A conjecture generalizing Thomassen's chord conjecture in graph theory,
Bull. Iranian Math. Soc., 50 (2024), no. 5, Paper No. 69.
pdf file
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The minimum number of detours in graphs,
Australas. J. Combin., 90 (2024), 85¨C93.
pdf file
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A sufficient condition for pancyclic graphs,
to appear in Bull. Aust. Math. Soc.
pdf file
- (with Y. Hu)
On the metric subgraphs of a graph,
arXiv 2112.10395, 20 December 2021
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- (with J. Yan)
The Turan number of book graphs,
arxiv: 2010.09973v2, 25 April 2021
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Invited Talks
- Recent invited talks
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A sufficient condition for pancyclic graphs,
pdf file
Conference on Algebraic Graph Theory,
Shenzhen University, Shenzhen, China, November 22-24, 2024
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Results and problems on longest paths in a graph,
pdf file
The 11th Conference on Graph Theory and Combinatorial Optimization,
Nankai Uinversity, Tianjin, China, October 3-5, 2024
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Homogeneously traceable graphs and minimally hamiltonian-connected graphs,
pdf file
The 4th Hefei Conference on Advances in Graphs and Combinatorics,
Anhui University, Heifei£¬China£¬ March 29-31£¬2024
- Invited plenary talks
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Extremal sparsity property of the Jordan canonical form,
pdf file
The 8th conference of China matrix theory and applications,
Taiyuan Normal University, Taiyuan, China,
July 16-18, 2008
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On nonnegative imprimitive matrices,
pdf file
The 7th conference of China matrix theory and applications,
University of Electronic Science and Technology, Chengdu, China,
July 17-20, 2006
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Extremal eigenvalues of real symmetric matrices
with entries in an interval,
pdf file
The 12th conference of the International Linear Algebra Society,
University of Regina, Canada, June 26-29, 2005
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Submultiplicativity vs subadditivity for unitarily
invariant norms,
The 6th conference of China matrix theory and applications,
Heilongjiang University, Harbin, China, July 18-20, 2004
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On the unitary orbit of complex matrices,
The 5th conference of China matrix theory and applications,
Shanghai University, Shanghai, China, August 14-18, 2002
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Inequalities for unitarily invariant norms,
The 3rd conference of China matrix theory and applications,
Zhang Jia Jie, China, August 8-13, 1998
- Invited 45-minute talk
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Open Problems in Matrix Theory,
pdf file
The 4th International Congress of Chinese Mathematicians,
Zhejiang University, Hangzhou, China, Dec. 17-22, 2007
- Invited 40-minute talk
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Sparsity of matrix canonical forms,
pdf file
The 6th Asian Mathematical Conference, Busan, Korea,
June 30-July 4, 2013
- Invited ILAS lecture
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Unsolved Matrix Problems,
pdf file
Advanced Workshop on Trends and Developments in Linear Algebra,
ICTP, Trieste, Italy, July 6-10, 2009
- Invited 30-minute talk
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Digraphs that have at most one walk of a given length with the same endpoints,
pdf file
The 4th National Conference on Combinatorial Mathematics and Graph Theory,
Xuzhou Normal University, Xuzhou, China, August 22-25, 2010
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Extremal digraphs whose walks with the same initial and terminal
vertices have distinct lengths,
pdf file
Workshop on Positive Matrices and Operators: Recent Developments and Advances,
Kyungpook National University, Daegu, Korea, June 24-28, 2012
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Extremal sparsity of the companion matrix of a polynomial,
pdf file
International Workshop on Matrices and Operators,
Beijing Normal University, Beijing, July 15-18, 2013
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