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大连理工大学数学科学学院研究生导师简介-王毅

大连理工大学 免费考研网/2016-05-04


王毅
院系:数学科学学院
办公电话:**-8128
电子信箱:wangyi@dlut.edu.cn
更新时间:2015-10-29
其他专业:无



个人简介
王毅,大连理工大学数学科学学院教授、博士生导师。1979年考入大连工学院应用数学系,后师从徐利治先生获博士学位,研究方向为组合数学。主要研究兴趣包括组合恒等式与不等式、偏序集上的组合极值理论、图论和组合数论。在组合序列的单峰型问题研究和极值集合论研究中做出了一些有影响的工作,多项研究成果以定理形式出现在国外多部专著中。主持过多项国家和省部级基金项目。现任中国组合数学与图论学会常务理事、大连理工大学数学一级学科博士点点长。

研究领域(研究课题)
近年主持研究课题:

组合数学中的组合不等式研究,国家自然科学基金(No. **),2014-2017.

极值组合学中若干经典问题的研究,教育部博士点基金(博导类)(No. **039),2012-2014.

偏序集上的组合极值问题研究,国家自然科学基金(No. **),2011-2013.

组合数学中的单峰型问题研究,国家自然科学基金(No. **),2008-2010.

硕博研究方向
组合数学、图论、组合数论

出版著作和论文
●Proof of a conjecture of Lundow and Rosengren on the bimodality of p, q-binomial coefficients (with X.T. Su), J. Math. Anal. Appl., 391 (2012), 653-656.
●On the unimodality of independence polynomials of some graphs (with B.-X. Zhu), European J. Combin., 32 (2011), 10–20.
●Unimodality problems of multinomial coefficients and symmetric functions (with X.T. Su and Y.-N. Yeh), Electron. J. Combin., 18 (2011), Paper 73, 8 pp.
●On unimodality problems in Pascal's triangle (with X.T. Su), Electron. J. Combin., 15 (2008), Research Paper 113, 12 pp.
●A class of LYM orders in divisor lattices (with Y.-N. Yeh), Taiwanese J. Math., 12 (2008), 991–996.
●q-Eulerian polynomials and polynomials with only real zeros (with S.M. Ma), Electron. J. Combin., 15 (2008), Research Paper 17, 9 pp.
●On the log-convexity of combinatorial sequences (with L. Liu),Adv. in Appl. Math. 39 (2007), 453–476.
●A unified approach to polynomial sequences with only real zeros (with L. Liu), Adv. in Appl. Math., 38 (2007), 542–560.
●Log-concavity and LC-positivity (with Y.-N. Yeh), J. Combin. Theory Ser. A, 114 (2007), 195–210.
●Self-inverse sequences related to a binomial inverse pair, Fibonacci Quart., 43 (2005),46–52.
●Proof of a conjecture on unimodality (with Y.-N. Yeh),European J. Combin., 26 (2005),617–627.
●Nested chain partitions of LYM posets, Discrete Appl. Math., 145 (2005),493–497.
●Polynomials with real zeros and Pólya frequency sequences (with Y.-N. Yeh),J. Combin. Theory Ser. A, 109 (2005), 63–74.
●Zeros of a class of Fibonacci-type polynomials (with M.F. He), Fibonacci Quart., 42 (2004), 341–347.
●Linear transformations preserving log-concavity, Linear Algebra Appl., 359 (2003), 161–167.
●A simple proof of a conjecture of Simion. J. Combin. Theory Ser. A, 100 (2002), 399–402.
●Proof of a conjecture of Ehrenborg and Steingrímsson on excedance statistic, European J. Combin., 23 (2002), 355–365.
●Notes on Chvátal's conjecture, Discrete Math., 247 (2002), 255–259.
●On the limit of generalized golden numbers (with H.Q. Yu and M. F. He), Fibonacci Quart., 34 (1996), 320–322.
●Notes on a conjecture of Singmaster (with L.C. Hsu and P.J.-S. Shiue), Fibonacci Quart., 33 (1995), 392–397.
●Hadamard powers of polynomials with only real zeros (with B. Zhang), Linear Algebra Appl., 439 (2013), 3173-3176.
●Proofs of some conjectures on monotonicity of number-theoretic and combinatorial sequences (with B. -X. Zhu), Sci. China Math.,57 (2014), 2429–2435.
●A combinatorial proof of the log-convexity of Catalan-like numbers (with H. Sun), J. Integer Seq., 17 (2014), Article 14.5.2.
●Log-convexity of Aigner–Catalan–Riordan numbers (with Z.-H. Zhang), Linear Algebra Appl., 463 (2014), 45-55.
●Total positivity of Catalan triangle (with C.Z.-C. Wang), Discrete Math., 338 (2015), 566-568.
●Combinatorics of generalized Motzkin numbers (with Z.-H. Zhang), J. Integer Seq., 18 (2015), Article 15.2.4.
●Total positivity of Riordan arrays (with X. Chen and H. Liang), European J. Combin., 46 (2015), 68-74.
●A generalization of Sperner's theorem for convex families (with L. Mu and B. Zhang), J. Combin. Number Theory, 6 (2014),183-188.
●Polynomials with palindromic and unimodal coefficients (with H. Sun and H.-X. Zhang), Acta Math. Sinica, 31 (2015) 565-575.
●Total positivity of recursive matrices (with X. Chen and H. Liang), Linear Algebra Appl., 471 (2015), 383-393.
●Catalan-like numbers and Stieltjes moment sequences (with H. Liang and L. Mu), Discrete Math. 339 (2016), 484-488.


在读学生人数
博6硕5

毕业学生人数
博7硕16

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