人物概況
1964年2月生,男,漢族,河北省滄縣人,中共黨員,教授,理學博士學位,河北師範大學兼職碩導。現任廊坊師範學院數學與信息科學學院教授。
研究領域
典型群、代數組合、組合最佳化
2015年獲河北省自然科學二等獎(排名第4)。主要從事典型群、代數組合論、組合最佳化的研究工作,已在《Graphs and Combinatorics》、《Linear algebra and its applications》、《European Journal of Combinatorics》、《Journal of Global Optimization》、《Journal of Computational Biology》、《Theoretical Computer Science》等國內外學術期刊上發表研究論文42篇,其中SCI文章14篇。作為主研人參加完成了國家自然科學基金項目2項,河北省自然科學基金項目3項;主持完成河北省教育廳項目1項;現正主持河北省自然科學基金項目1項。
教學情況
1. 講課:
高等代數,近世代數,有限群,代數方法,線性代數
科研情況:
1. 項目:
[1] 河北省自然科學基金:EKR定理,Hopf代數及其相關聯的代數組合結構(No.A2013408009),主持人,2013—2016年;
[2] 國家自然科學基金:距離正則圖研究的若干代數方法(No. 11471097) , 主研人, 2015年—2018年;
[3] 國家自然科學基金:距離正則圖及其套用(No.10971052), 主研人, 2010年—2012年; [4] 河北省自然科學基金:距離正則圖與環在圖中的套用(No.A2005000141),主研人, 2005年—2007年;
[5] 河北省自然科學基金:距離正則圖與Pooling設計(No.A2008000128), 主研人, 2008年—2010年;
[6] 高等學校博士學科點專項科研基金:與代數組合有關的t設計與Terwilliger代數(No. 20121303110005), 主研人, 2013年—2015年。
2. 獎勵:
[1] 結合方案與有限典型群幾何的研究,2015年度(證書號:2015ZR2004-4)河北省自然科學二等獎,第4 ;
[2]距離正則圖、圖的控制和有限域上典型群幾何的研究,2014年度(證書號:2014JB20403)廊坊市科技進步二等獎,第3.
主要論文
[1] Zengti Li, Dayuan Huang, *Suogang Gao. Two error-correcting pooling designs from symplectic spaces over a finite field, Linear Algebra and its Applications, 2010, 433,1138-1147.
[2] Zengti Li, Eiichi Bannai, Etsuko Bannai. Tight Relative 2- and 4-Designs on Binary Hamming Association Schemes,Graphs and Combinatorics,2014,30,203-227.
[3] Zengti Li, *Suogang Gao, Hongjie Du, Feng Zou, Weili Wu. Efficient Error-Correcting Pooling Designs Constructed from Pseudo-Symplictic Spaces Over a Finite Field, Journal of Computational Biology, October 2010, 17(10),1413-1423.
[4]Zengti Li, *Suogang Gao, H. Guo. Commutative weakly distance-regular digraphs of circle with fixed length, ARS Combinatoria, 2011,101(4), 301-307.
[5] Li Zengti. Direct Sum, Direct Product and Lexicographic Product of Lattices, ARS Combinatoria, 2011,101(4), 209-215.
[6] *Li Zengti, Deng fengru. Two Families of Lattices, ARS Combinatoria, 2011,101(4), 343-352.
[7]*Suogang Gao, Zengti Li, Yujiang Chen, Xiaofeng Gao, Weili Wu. DNA library screening, pooling design and unitary spaces, Theoretical Computer Science, 2011, 412, 217-224.
[8] *Suogang Gao, Zengti Li, Hongjie Du, Yan Shi and Weili Wu. Approaching pooling design with smaller efficient ratio, Journal of Global Optimization, 2011, 49,125-135.
[9] Zengti Li, Suogang Gao, Zhong Wang, Bhavani Thuraisingham , Weili Wu,A construction of Cartesian authentication codes from orthogonal spaces over a finite field of odd characteristic, Discrete Mathematics,Algorithms And Applications 1(2009):105-114.
[10] Zengti Li, *Suogang Gao, Hongjie Du, Feng Zou, Weili Wu. Two constructions of new error-correcting pooling design from orthogonal spaces over finite field of characteristic 2, Journal of Combinatorial Optimization, 2010, 20(4),325-334.
[11] Kaishun Wang, Zengti Li,Lattices Associated with Distance-Regular Graphs, European Journal of Combinatorics, 29(2008):379-385.
[12] Kaishun Wang, Zengti Li,Lattices Associated with vector space over a finite field, Linear Algebra and its Applications 429(2008):439-446.
[13] Jun Guo, Zengti Li, Kaishun Wang. Lattices associated with isotropic subspaces in classical spaces, Linear Algebra and its Applications,431(2009):1088-1095
[14] Shufang Zhao, Zengti Li, A Construction of Cartesian Authentication Code from Singular Spaces over a Finite field, Discrete Mathematics, Algorithms and Applications,2014, 6(2): 1450027-1450035.
[15] Baohuan Zhang, Yujun Liu, Zengti Li, Quasi-regular semilattices in singular linear spaces,Discrete Mathematics, Algorithms and Applications,2016, 8(1): 1650005-1650012.
[16]李增提, 距離正則圖相關聯的格I,數學物理學報,2011,31(2),492-499
[17]李增提,馮光輝,利用奇異辛空間中部分(2,0,1)型子空間構作的結合方案,數學進展,2016,45(1): 48-56.
[18]李增提,6-齊次二分圖的圍長,數學雜誌,2007,1:23-26.