王毅,男,大连理工大学数学科学学院教授、博士生导师,毕业于大连理工大学。1979年考入大连工学院应用数学系,后师从徐利治先生获得博士学位,研究方向为组合数学。主要研究兴趣包括组合计数、偏序集上的组合极值理论、图论和组合数论。在组合不等式的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。现任大连理工大学数学一级学科博士点点长、中国数学会组合数学与图论专业委员会常务委员、中国运筹学会图论组合分会常务理事和副理事长、中国工业与应用数学学会图论组合及应用专业委员会常务委员和副主任。
基本信息
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
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. 20110041110039),2012-2014.
偏序集上的组合极值问题研究,国家自然科学基金(No. 11071030),2011-2013.
组合数学中的单峰型问题研究,国家自然科学基金(No. 10771027),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. 数学 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. 数学, 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. 数学 39 (2007), 453–476.
●A unified approach to 多项式 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 二项式 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 数学, 145 (2005), 493–497.
●Polynomials with real zeros and Pólya 频率 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 数学, 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 数学, 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 数学, 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 数学 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 数学 339 (2016), 484-488.
在读学生人数博6硕5
毕业学生人数博7硕16
社会职务
王毅现任中国运筹学会图论组合分会副理事长、中国工业与应用数学学会图论组合及应用专业委员会副主任、中国数学会组合数学与图论专业委员会常务委员、中国数学会《Acta Mathematicae Applicatae Sinica》编委。
第六届图论与组合算法国际研讨会在我校召开.西北师范大学.2024-03-21
我校成功举办第七届全国组合数学与图论大会.河北师范大学.2024-03-21
王毅: Analytic aspects of combinatorial sequences.合肥工业大学.2024-03-21
王毅.大连理工大学.2024-09-29