王毅,男,大連理工大學數學科學學院教授、博士生導師,畢業于大連理工大學。1979年考入大連工學院應用數學系,后師從徐利治先生獲得博士學位,研究方向為組合數學。主要研究興趣包括組合計數、偏序集上的組合極值理論、圖論和組合數論。在組合不等式的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。現任大連理工大學數學一級學科博士點點長、中國數學會組合數學與圖論專業委員會常務委員、中國運籌學會圖論組合分會常務理事和副理事長、中國工業與應用數學學會圖論組合及應用專業委員會常務委員和副主任。
基本信息
主要研究興趣包括組合恒等式與不等式、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。
研究領域
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
碩博研究方向
組合數學、圖論、組合數論
出版著作和論文
●Proof of a conjecture of Lundow and Rosengren on the bimodality of p, q-binomial coefficients (with X.T. Su), J. 數學 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. 數學, 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. 數學 39 (2007), 453–476.
●A unified approach to 多項式 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 二項式 inverse pair, 斐波那契 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 數學, 145 (2005), 493–497.
●Polynomials with real zeros and Pólya 頻率 sequences (with Y.-N. Yeh), J. Combin. Theory Ser. A, 109 (2005), 63–74.
●Zeros of a class of 斐波那契-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 數學, 247 (2002), 255–259.
●On the limit of generalized golden numbers (with H.Q. Yu and M. F. He), 斐波那契 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 數學, 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 AIGNERCatalan–Riordan numbers (with Z.-H. Zhang), Linear Algebra Appl., 463 (2014), 45-55.
●Total positivity of Catalan triangle (with C.Z.-C. Wang), Discrete 數學, 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 香港航空 Zhang), Acta 數學 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 數學 339 (2016), 484-488.
在讀學生人數博6碩5
畢業學生人數博7碩16
社會職務
王毅現任中國運籌學會圖論組合分會副理事長、中國工業與應用數學學會圖論組合及應用專業委員會副主任、中國數學會組合數學與圖論專業委員會常務委員、中國數學會《Acta Mathematicae Applicatae Sinica》編委。
參考資料 >
第六屆圖論與組合算法國際研討會在我校召開.西北師范大學.2024-03-21
我校成功舉辦第七屆全國組合數學與圖論大會.河北師范大學.2024-03-21
王毅: Analytic aspects of combinatorial sequences.合肥工業大學.2024-03-21
王毅.大連理工大學.2024-09-29