师资队伍

基本信息

姓名:李雨生

部门: 组合数学和图论

职称:教授

E-mail:li_yusheng@tongji.edu.cn

研究方向:

图论中的极值问题,特别是Ramsey理论及极值图的结构,以及相关领域如随机图论方法, 极值图的代数构造方法.

工作经历:

1982.01-1986.08       安徽师范大学数学系     助教
1986.06-1991.08       河海大学数学系            讲师
1996.08-1997.08       美国Memphis大学       博士后
1997.09-2003.08       河海大学数学系            副教授,教授
1998.09-1999.01       香港大学                      访问学者
1999.09-1999.12       香港浸会大学               访问学者
2000.09-2000.12       香港大学                      访问学者
2001.11-2002.02       香港大学                      访问学者
2003.09-至今             同济大学数学系            教授
2004.06-2004.09       香港大学                      访问学者
2006.02-2006.05       台湾中央研究院            访问学者
2007.06-2007.09       香港大学                      访问学者
2012.06-2012.09       香港大学                      访问学者

论文与出版物:
  1. Yusheng Li and Cecil Rousseau, On book-complete Ramsey numbers, J. Combin. Theory Ser. B V68 (1996), 36-44 .
  2. Yusheng Li and Cecil Rousseau, Fan-complete Ramsey numbers, J. Graph Theory V23 (1996) , 413-420.
  3. Y. Li, C. Rousseau, On the Ramsey number r(H+nK_n,K_n) Discrete Math., V170 (1997),  265-267.  
  4. Y. Li, C. Rousseau, L. Soltes, Ramsey linear families and generalized subdivided graphs, Discrete Math., V170 (1997),p269-275.
  5. Y. Caro, Y. Li, C. Rousseau, Y. Zhang, Asymptotic bounds for some bipartite graph: complete graph Ramsey numbers, Discrete Math., V220 (2000), 51-56.
  6. Y. Li, C. Rousseau, W. Zang,  Asymptotic upper bounds for Ramsey functions, Graphs Combin., V17 (2001), 123-128.
  7. Y. Li, The Shannon capacity of a communication channel, Ramsey number of graph and a conjecture of Erdõs, Chinese Science Bulletin, V46 (2001), 2025-2028.
  8. Y. Li, C. Rousseau, W. Zang, The lower bound for independence number, Science in China Ser. A, V45 (2002), 64-69.
  9. W. Shiu,P. Lam,Y. Li,On generalized Ramsey numbers,Discrete Math., V285 (2002), 383-388 .
  10. Y. Li, W. Zang, The Ramsey numbers involving large dense graphs and bipartite Turan numbers,J. Combin. Theory Ser. B,V87  (2003),280-288.
  11. W. Shiu,P. Lam,Y. Li,On some three-color Ramsey numbers,Graphs Combin., V19 (2003),  249-258.
  12. Y. Li, W. Zang,The independence number of graphs with a forbidden cycle and Ramsey numbers,J. Combin. Optimization,V7 (2003), 353-359.
  13. Y.Li, C. Rousseau, W. Zang, An upper bound for Ramsey number, Applied Math. Letters, V17 (2004), 663-665.
  14. G. Zhou, Y. Li, Independence numbers of hypergraphs with sparse neighborhoods, European J. Combinatorics, V25 (2004), 355-362.
  15. Y. Li, X. Tang, W. Zang, Ramsey functions involving K_{m,n} with n large,  Discrete Math., V300(2005)120-128. 
  16. Y. Li, W. Zang, Differential method for finding independent sets in hypergraphs, SIAM J. Discrete Math., V20 (2006) 96-104.  
  17. Y. Sun, Y. Li, A bound for size Ramsey numbers of multi-partite graphs, Electronic J. Combin., V14 (2007), #N11. 
  18. Y. Li, J. Shen,Bounds for Ramsey numbers of complete graphs dropping an edge, European J. Combin., V 29 (2008), 88-94.  
  19. Y. Li, Ramsey numbers of a cycle, Taiwanese J. Math., V12 (2008), 1007-1013.
  20. Y. Li and Ko-Wei Lih, Multi-color Ramsey numbers of even cycles, European J. Combin., V30 (2009), 114-118.ulti-color Ramsey numbers of even cycles, European J. Combin., V30 (2009), 114-118.  
  21. Qizhong Lin and Yusheng Li, On Ramsey numbers of fans, Discrete Applied Math., V157 (2009), 191-194.
  22. Yuqin Sun and Yusheng Li, Size bipartite Ramsey numbers, Discrete Math., V309 (2009), 1060-1066. 
  23. Qizhong Lin and Yusheng Li, Bipartite Ramsey numbers involving large K_{n,n}, European J. Combin.,  V30 (2009), 923-928.
  24. Lin Dong, Yusheng Li and Qizhong Lin, Ramsey numbers involving graphs with large degrees, Applied Math. Letters, V22 (2009), 1577-1580.
  25. Yusheng Li, The multi-color Ramsey numbers of an odd cycle, J. Graph Theory, V62 (2009), 324-328. 
  26. Yusheng Li and Jinlong Shu, A lower bound for off-diagonal van der Waerden numbers, Advances Applied Math., V44 (2010), 243-247. 
  27. Qizhong Lin, Yusheng Li and Lin Dong, Ramsey goodness and generalized stars, European J. Combin., V 31 (2010), 1128-1234. 
  28. Lin Dong and Yusheng Li, A construction for Ramsey numbers for K_{m,n}, European J. Combin., V 31 (2010), 1667-1670.
  29. Qizhong Lin and Yusheng Li, Multicolor bipartite Ramsey number of C_4 and large K_{n,n}, J. Graph Theory, V67 (2011), 47-54. 
  30. 李乔,李雨生, 拉姆塞理论--入门和故事 (科普著作),大连理工大学出版社,2011.
  31. 朱经浩,李雨生,周羚君, 简明复变函数与积分变换(本科教材),同济大学出版社,2011
  32. Qizhong Lin and Yusheng Li, Ramsey number of K_3 and large K_{n,n}, Applied Math Letters,V25 (2012), 380-384.
  33. Ye Wang and Yusheng Li, Lower bounds for Ramsey numbers of K_n with a small subgraph removed, Discrete Applied Math., V160(2012), 263-268.  
  34. Changxiang He,Yusheng Li,and Lin Dong, Three-color Ramsey numbers of K_n dropping an edge, Graphs Combin., V28 ( 2012), 663-669.
  35. Qizhong Lin, Yusheng Li and J. Shen, Lower bounds for r_2(K_1+G) and r_3(K_1+G) from Paley graph and generalization, European J. Combin., V 40 (2014), 65-72.
  36. Yusheng Li and Zhen Zhang, A note on eigenvalue bounds for independence numbers of non-regular graphs, Discrete Applied Math., V174(2014), 146-149. 
  37. Yusheng Li and Qizhong Lin, Lower bound for independence numbers of some locally sparse graphs, J. Combin. Optimization, V28(2014), 717-725. 
  38. Zhen Li and Yusheng Li, Some star-critical Ramsey numbers, Discrete Applied Math., V181(2015), 301-305.
  39. Qizhong Lin and Yusheng Li, A Folkman linear family, SIAM J. Discrete Math., V29 (2015), 1988-1998. 
  40. Chaoping Pei and Yusheng Li, Ramsey numbers involving a long path, Discrete Math., 339(2) (2016), 564-570. 
  41. Pei Yu and Yusheng Li, All Ramsey numbers for brooms in graphs, Electronic J. Combin., 23(3) (2016), #p3.29.  
  42. Meng Liu and Yusheng Li, Ramsey numbers of a fixed odd-cycle and generalized books and fans, Discrete Math. 339 (10)(2016),2481-2489.  
  43. Lei Cheng, Jianfeng Hou, Yusheng Li, Qizhong Lin, Monochromatic solutions for multi-term unknowns, Graphs Combin., 32 (6) (2016), 2275-2293. 
  44. Yusheng Li, Yilun Shang, Yiting Yang, Clustering coefficients of large networks, Information Sciences, 382/383 (2017), 350-358. 
  45. Yusheng Li, Qizhong Lin, On generalized Folkman numbers, Taiwanese J. Math., 21 (1) (2017), 1-9. 
  46. Ye Wang, Yusheng Li, Bounds for bipartite rainbow Ramsey numbers, Graphs Combin., 33 (2017), 1065-1097.
获奖荣誉:

部分获奖:

(1)1999年水利部优秀教师

(2)2002年国家自然科学基金优秀项目(数学6个之一)

(3)2004年教育部科技二等奖

(4)2012年上海市优秀博士学位论文指导教师

(5)2014年宝钢优秀教师奖

(6)2014年上海市育才奖

(7)2016年同济大学追求卓越奖(同济大学最高奖)

(8)上海市华强奖

个人简介:

       李雨生, 同济大学数学系教授, 博士生导师,国家精品课程高等数学负责人,数学博士后流动站站长;上海市学位办评议组成员,中国数学会组合和图论专业委员会常务理事,上海市数学会常务理事,上海市工业及应用数学学会常务理事。1996年6月获美国Memphis大学博士学位(1982年1月安徽师范大学学士,1986年6月华中工学院现华中科大硕士). 博士学位论文研究Ramsey函数的渐近性. 一直得到国家自然科学科学基金面上项目和重点项目资助, 也得到教育部(优秀年轻教师基金)和江苏省(333人才基金)资助. 曾先后任教于安徽师范大学和河海大学. 多次工作访问多所大学和研究机构,  经常给各地的研究生(青年教师)班作系列讲座。

       拥有r(m,n)当前最好上界,这个上界改进了E. Szemeredi(2012年Abel奖得主)等人的成果;也把N. Alon(2006年ICM大会程序委员会主席)关于一个Ramsey线性结果从12n改进为6n;拥有一系列Ramsey函数当前最好的估计,例如w(m,n)的下界,其相应上界是由J. Bourgain(1984年Fields奖,2010年邵逸夫奖得主)获得。有成果成为B. Bollobos (英国皇家院士)著研究生教材(GTM) Modern Graph Theory (Springer)中的定理(Ch6,Theorem 13,p193);关于经典 Ramsey 上界的估计被 F. Chung (美国文艺科学院士)和 R. Graham (美国科学院士, 数学会前主席)等人写入 Erdõs on Graphs(p13), 被说成是这方面当前最好的上界; 部分解决了P. Erdõs 等人的一个猜想,论文是当年该刊(JCTB)的Most downloaded articles 之一.

教学状况:

学期 课程 时间 地点
不定 本科生:实变函数论 多次 四平路校区
不定 硕士生:图论及其应用 多次 四平路校区
不定 博士生:随机图论(随机方法) 经常 四平路校区
不定 博士生:Ramsey理论 经常 四平路校区
不定 本科生:复变函数论 多次 四平路校区
春秋 工科数学分析 经常 四平路校区


Invitation Fellowships : 

  1. The University of Hong Kong, 1998 
  2. Hong Kong Baptist University, 1999 
  3. The University of Hong Kong, 2000 
  4. The University of Hong Kong, 2001 
  5. The University of Hong Kong, 2004 
  6. Institute of Mathematics, Academia Sinica, Taiwan, 2006
  7. The University of Hong Kong, 2007 
  8. The University of Hong Kong, 2012 

Research Grants: 

  1. National Science Foundation of China, Jan 1999—Dec 2001. 
  2. Elite Teacher Foundation of Education Ministry of China, Jan 1999—Dec 2001. 
  3. Talented Professor Foundation of Jiangsu Province, Jan 2000—Dec 2002. 
  4. National Science Foundation of China, Jan 2003—Dec 2005.
  5. National Science Foundation of China, key project, Jan 2005—Dec 2008. 
  6. Nationa Science Foundation of China, Jan 2009--Dec 2011. 
  7. National Science Foundation of China, key project, Jan 2010—Dec 2013. 
  8. National Science Foundation of China, Key project, Jan 2014--DEc 2018.

Remarks on Papers:

  1. The upper bound for r(m,n) improved the result of Szemeredi et al. 
  2. One of results in a paper has been written as a theorem in Modern Graph Theory by B. Bollobas (Graduate texts in Mathematics 184), Springer 1998. 
  3. One of results in a paper has been written in Erdos on Graphs by F. Chung and R. Graham as the current best upper bound for classical Ramsey numbers, one of Erdos’ favorite problems. 
  4. A result improved a result 12n of Alon to 6n
  5. One of results in a paper partially solved a problem of Erdos and Simonovits, which was  offered $500 for a proof or disproof by Erdos.
  6. Curently best lower bound for w(m,n)

联系我们

    电话:86-21-65981384

    地址:上海市四平路1239号 致远楼

Copyright © 2018  同济大学数学科学学院 版权所有.