王毅

王毅，大連理工大學數學科學學院教授、博士生導師。1979年考入大連工學院應用數學系，后師從徐利治先生獲博士學位，研究方向為組合數學。主要研究興趣包括組合恆等式與不等式、偏序集上的組合極值理論、圖論和組合數論。在組合序列的單峰型問題研究和極值集合論研究中做出了一些有影響的工作，多項研究成果以定理形式出現在國外多部專著中。主持過多項國家和省部級基金項目。現任中國組合數學與圖論學會常務理事、大連理工大學數學一級學科博士點點長。

極值組合學中若干經典問題的研究，教育部博士點基金（博導類）(No. 20110041110039)，2012-2014.

偏序集上的組合極值問題研究，國家自然科學基金（No. 11071030)，2011-2013.

組合數學中的單峰型問題研究，國家自然科學基金（No. 10771027)，2008-2010

組合數學、圖論、組合數論

●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.

在讀學生人數博6碩5

畢業學生人數博7碩16