艾江东

2018年9月-2022年6月 伦敦大学皇家霍洛威学院 博士 计算机科学 导师：Gregory Gutin教授（主）、Stefanie Gerke教授

2023年6月-至今，南开大学数学科学学院应用数学系，副教授，博导

2022年7月-2023年6月，纽约州立大学（韩国），博士后

2022年3月-2022年6月，伦敦大学皇家霍洛威学院，研究员

图论及其应用

主要研究有向图的结构，如有向图的king、kernel等等，图染色，图定向，以及谱极值，Turan问题等。发表论文十余篇，研究成果发表在SIAM J. Discrete Math, J. Graph Theory 等杂志。

研究生课程：《图论》

南开大学百名青年学科带头人(2023)

 Submitted

1. J. Ai, F. He, S. Im, H. Lee, On high discrepancy 1-factorizations of complete graphs

2.J. Ai, H. Lei, B. Ning, Y. Shi, Graph operations and a unified method for kinds of Tura´n-type problems on paths, cycles and matchings.

3.J. Ai, F. He, Y. Liu, Solution on strong partition of 2-balanced regular multipartite tournaments. 

4.J. Ai, J. Gao, Z.Xu, X. Yan, Strong Ramsey game on two boards.

5.J. Ai, F. He, Y. Liu, B. Ning, On degree power sum in P_k-free graphs.

6.J. Ai, X. Liu, F. Peng, A variable version of the quasi-kernel conjecture.

7.J. Ai, F. He, Z. Li, Z. Qin, C. Wang, A complete characterization of split digraphs with a strong arc decomposition.

8.J. Ai, Z. Gao, X. Liu, J. Yue, A short note on spanning even trees.

Published

17. J. Ai, G. Gutin, H. Lei, A. Yeo, Y, Zhou； 

Number of Subgraphs and Their Converses in Tournaments and New Digraph Polynomials. 

J. GraphTheory（to appear）

16. J. Ai, Y. Hao, Z. Li, Q. Shao；

Arc-disjoint in- and out-branchings in semicomplete split digraphs. 

Discrete Appl. Math.（to appear）

15. J. Ai, S. O, L. Zhang；

r-Dynamic colorings in graphs from the spectral radius. 

Discrete Appl. Math.（to appear）

14. J.Ai, P. Liu, S. O, J. Zhang;

The minimum spectral radius of tP3- or K5-saturated graphs via the number of 2-walks.

Electron. J. Comb. 32(1)

13.Ai, J; Liu, H; Xu, Z; Zhou, Q;

Piercing independent sets in graphs without large induced matching.

Electron. J. Comb. 32(1)

12.Ai, J; Dai, Q; Guo, Q; Hu, Y; Wang, C;

A new perspective from hypertournaments to tournaments.

Discrete Appl. Math.364(2025),136-142

11.Ai, J;Gutin, G;Shi, Y;Yeo, A;

Selected conjectures and open problems on directed graphs.

Adv.Math.(China)53(2024),no. 1,1-12.

10.Ai, J;Im, S;Kim, J;Lee, H;O, S;Zhang, L.

On the spectral radius of graphs with given maximum degree and girth.

Linear Algebra Appl.691（2024）.182-195.

9.Ai, J;Gerke, S;Gutin, G;Yeo, A;Zhou, Y；

Bounds on Maximum Weight Directed Cut.

SIAM J. Discrete Math. 38 (2024), no. 3, 2370–2391.

8.Ai, J;Gerke, S;Gutin, G;Yeo, A;Wang,S;Zhou, Y；

On Seymour’s and Sullivan’s second neighbourhood conjectures.

J. GraphTheory(2023),no 3,413-426.

7.Ai, J;Gerke, S;Gutin, G;Yeo, A;Zhou, Y；

Results on the small quasi-kernel conjecture.

Discrete Math.346(2023),no. 7,Paper No. 113435, 9 pp.

6.Ai, J;Gerke, S.;Gutin, G.;Lei, H.;Shi, Y；

Proper orientation, proper biorientation and semi-proper orientation numbers of graphs.

J. Comb. Optim.45(2023),no. 1,Paper No. 40, 10 pp.

5.Ai, J;Gerke, S;Gutin, G;Zhou, Y；

Extended path partition conjecture for semicomplete and acyclic compositions.

Discrete Math.345(2022),no. 11,Paper No. 113019, 6 pp.

4.Ai, J;Gerke, S;Gutin, G；

Kings in multipartite hypertournaments.

J. Graph Theory99(2022),no. 1,82–89.

3.Ai, J;Gerke, S;Gutin, G;Mafunda, S；

Proximity and remoteness in directed and undirected graphs.

Discrete Math.344(2021),no. 3,Paper No. 112252, 7 pp.

2.Ai, J;Gerke, S;Gutin, G;Shi, Y;Taoqiu, Z;

Proper orientation number of triangle-free bridgeless outerplanar graphs.

J. Graph Theory95(2020),no. 2,256–266.

1.Ai, J;Lei, H;Shi, Y;Yao, S;Zhang, Z;
k-ary spanning trees contained in tournaments.

Discrete Appl. Math.285(2020),141–146.

Visit

25/11,2023-05/2,2024 Institute for Basic Science, Korea

Invited Talks 

01/6, 2022 One-Day Meeting in Combinatorics, Mathematical Institude, University of Oxford, UK.

Contributed Talks 

31/10–03/11, 2023 the 3rd East Asia Workshop on Extremal and Structural Graph Theory,  Okinawa, Japan.

2018-2021：博士全奖（校长奖）