王国亮 - 北京理工大学 - 数学与统计学院

个人简介

我是北京理工大学数学教授，曾访问美国麻省理工学院（MIT）和法国 Gaspard-Monge 信息实验室（LIGM），在以色列海法大学和北京大学做过博士后，2010年获南开大学博士学位，研究方向是代数组合学，曾主持三项国家自然科学基金。我的近期研究兴趣是图的色对称函数的正性分类问题，即确定图的色对称函数是否具有e-正性或Schur正性。教育背景 2005.09--2010.06 理学博士南开大学组合数学中心 2001.09--2005.07 理学学士北京大学数学科学学院 1998.09--2001.07 高中山东省青岛第二中学工作经历 2023.01--2023.05 法国 Gaspard-Monge 信息实验室（LIGM）高级研究学者 2020.07--今北京理工大学数学与统计学院教授 2018.09--2019.08 美国麻省理工学院（MIT）数学系访问副教授 2014.12--2020.07 北京理工大学数学与统计学院副教授 2012.10--2014.09 以色列海法大学数学系博士后 2010.07--2012.06 北京大学北京国际数学研究中心（BICMR）博士后

研究领域

我的近期研究兴趣是图的色对称函数的正性分类问题，即确定图的色对称函数是否具有e-正性或Schur正性。

近期论文

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Books published Guoliang Wang, Lecture Notes on General Topology, World Scientific, Singapore, 152 pp, ISBN: 978-981-122-741-7, eISBN: 978-981-122-742-4, 2021.01. This is a hard copy version with a minor collection of update and revision based on [01], internationally on sale. Guoliang Wang, Lecture Notes on General Topology, HEP Studies in Modern Mathematics, Higher Education Press, Beijing, 140 pp, ISBN: 978-7-04-052749-0, 2019.10. Papers published/accepted D.G.L. Wang and M.M.Y. Wang, The e-positivity and Schur positivity of some spiders and broom trees, Discrete Appl. Math. 325 (2023), 226--240. D.G.L. Wang and M.M.Y. Wang, The e-positivity of two classes of cycle-chord graphs, J. Alg. Combin. 57(2) (2023), 495--514. Z.C. Lin, D.G.L. Wang, and T. Zhao, A decomposition of ballot permutations, pattern avoidance and Gessel walks, J. Combin. Theory Ser. A 191 (2022), 105644. H. Lu and D.G.L. Wang, Surface embedding of non-bipartite k-extendable graphs, Ann. Appl. Math. 38 (2022), 1--24. D.G.L. Wang and T.Y. Zhao, The peak and descent statistics over ballot permutations, Discrete Math. 345(3) (2022), 112739. D.G.L. Wang, M.M.Y. Wang, and S.Q. Zhang, Determining the edge metric dimension of the generalized Petersen graph P(n,3), J. Comb. Optim. 43 (2022), 460--496. E.Y.H. Li, G.M.X. Li, D.G.L. Wang, and A.L.B. Yang, The twinning operation on graphs does not always preserve e-positivity, Taiwanese J. Math. 25 (2021), no. 6, 1089--1111. Z.C. Lin, S.-M. Ma, D.G.L. Wang, and L.Q. Wang, Positivity and divisibility of enumerators of alternating descents, Ramanujan J. 58 (2022), 203--228. D.G.L. Wang and J.J.R. Zhang, Geometry of limits of zeros of polynomial sequences of type (1,1), Bull. Malays. Math. Sci. Soc. (2) 44 (2021), 785--803. D.G.L. Wang and M.M.Y. Wang, A combinatorial formula for the Schur coefficients of chromatic symmetric functions, Discrete Appl. Math. 285 (2020), 621--630. D.G.L. Wang and J.J.R. Zhang, A Toeplitz property of ballot permutations and odd order permutations, Electron. J. Combin. 27(2) (2020), P2.55. Z.C. Lin, D.G.L. Wang, and J. Zeng, Around the q-binomial-Eulerian polynomials, European J. Combin. 78 (2019), 105--120. D.D.D. Jin and D.G.L. Wang, On the minimum vertex cover of generalized Petersen graphs, Discrete Appl. Math. 266 (2019), 309--318. S.-M. Ma, T. Mansour, D.G.L. Wang, and Y.-N. Yeh, Several variants of the Dumont differential system and permutation statistics, Sci. China Math. 62(10) (2019), 2033--2052. H. Lu and D.G.L. Wang, A Tutte-type characterization for graph factors, SIAM J. Discrete Math. 31(2) (2017), 1149--1159. H. Lu and D.G.L. Wang, The number of disjoint perfect matchings in semi-regular graphs, Appl. Anal. Discrete Math. 11(1) (2017), 11--38. H. Hu, D.G.L. Wang, F. Zhao, and T.Y. Zhao, Convolution preserves partial synchronicity of log-concave sequences, Math. Inequal. Appl. 20(1) (2017), 91--103. J.L. Gross, T. Mansour, T.W. Tucker, and D.G.L. Wang, Root geometry of polynomial sequences II: Type (1,0), J. Math. Anal. Appl. 441(2) (2016), 499--528. D.G.L. Wang, Tilings of parallelograms by similar isosceles triangles, Math. Intelligencer 38(3) (2016), 24--29. J.L. Gross, T. Mansour, T.W. Tucker, and D.G.L. Wang, Iterated claws have real-rooted genus polynomials, Ars Math. Contemp. 10(2) (2016), 255--268. J.L. Gross, T. Mansour, T.W. Tucker, and D.G.L. Wang, Combinatorial conjectures that imply local log-concavity of graph genus polynomials, European J. Combin. 52(A) (2016), 207--222. J.L. Gross, T. Mansour, T.W. Tucker, and D.G.L. Wang, Root geometry of polynomial sequences I: Type (0,1), J. Math. Anal. Appl. 433(2) (2016), 1261--1289. J.L. Gross, T. Mansour, T.W. Tucker, and D.G.L. Wang, Log-concavity of the genus polynomials of Ringel ladders, Electron. J. Graph Theory & Appl. 3(2) (2015), 109--126. J.L. Gross, T. Mansour, T.W. Tucker, and D.G.L. Wang, Log-concavity of combinations of sequences and applications to genus distributions, SIAM J. Discrete Math. 29(2) (2015), 1002--1029. T. Mansour and D.G.L. Wang, Recurrence relations in counting the pattern 13-2 in flattened permutations, J. Difference Equ. Appl. 21(1) (2015), 16--36. H. Lu and D.G.L. Wang, Surface embedding of (n,k)-extendable graphs, Discrete Appl. Math. 179 (2014), 163--173. D.G.L. Wang, On colored set partitions of type B_n, Cent. Eur. J. Math. 12(9) (2014), 1372--1381. H. Lu, D.G.L. Wang, and Q. Yu, On the existence of general factors in regular graphs, SIAM J. Discrete Math. 27(4) (2013), 1862--1869. T. Mansour, M. Shattuck, and D.G.L. Wang, Recurrence relations for patterns of type (2,1) in flattened permutations, J. Difference Equ. Appl. 20(1) (2014), 58--83. T. Mansour, M. Shattuck, and D.G.L. Wang, Counting subwords in flattened permutations, J. Combin. 4(3) (2013), 327--356. H. Lu and D.G.L. Wang, On Cui-Kano's characterization problem on graph factors, J. Graph Theory 74(3) (2013), 335--343. D.G.L. Wang, On universal tilers, Geom. Dedicata 164(1) (2013), 385--393. D.G.L. Wang, Determining all universal tilers, Discrete Comput. Geom. 49(2) (2013), 302--316. D.G.L. Wang and T.Y. Zhao, The real-rootedness and log-concavities of coordinator polynomials of Weyl group lattices, European J. Combin. 34(2) (2013), 490--494. W.Y.C. Chen, T.X.S. Li, and D.G.L. Wang, A bijection between atomic partitions and unsplitable partitions, Electron. J. Combin. 18(1) (2011), #P7. W.Y.C. Chen and D.G.L. Wang, On singletons and adjacencies of type B set partitions, Discrete Math. 311(6) (2011), 418--422. W.Y.C. Chen and D.G.L. Wang, The limiting distribution of the q-derangement numbers, European J. Combin. 31(8) (2010), 2006--2013. W.Y.C. Chen and D.G.L. Wang, Minimally intersecting set partitions of type B , Electron. J. Combin. 17 (2010), #R22. W.Y.C. Chen, D.G.L. Wang, and I.F. Zhang, Partitions of Z_n into arithmetic progressions, European J. Combin. 30(4) (2009), 764--773.