Department of Computer Science and Engineering
The Chinese University of Hong Kong
Shatin, Hong Kong SAR, CHINA

Phone: (852)39438425 Fax: (852)26035024 Email: lcai@cse.cuhk.edu.hk

Research Interests: FPT algorithms, graph algorithms, and graph theory.

Teaching:

CSCI5320 Topics in Graph Algorithms
CSCI3160 Design and Analysis of Algorithms   Finale (Video by MA Siu Tong)

Hobby: Stone carving

Representative Publications

1. L. Cai and J. Ye, Two Edge-Disjoint Paths with Length Constraints, Theoretical Computer Science, Vol 795 275-284, 2019.

    

2. L. Cai, Vertex Covers Revisited: Indirect Certificates and FPT Algorithms, arXiv:1807.11339, 2018.

    

3. L. Cai and Y. Cai, Incompressibility of H-Free Edge Modification Problems, Invited paper for IPEC 2013, Algorithmica 71(3) 731-757, 2015.

    

4. L. Cai and J. Ye, Dual Connectedness of Edge-Bicolored Graphs and Beyond, MFCS 2014, LNCS 8635, pp. 141-152, 2014.

    

5. M. Xiao, L. Cai, and A.C.C. Yao, Tight Approximation Ratio of a General Greedy Splitting Algorithm for the Minimum k-Way Cut Problem, Algorithmica Vol 59 510-520, 2011.

    

6. L. Cai and W. Wang, The Surviving Rate of a Graph for the Firefighter Problem, SIAM Journal on Discrete Mathematics , 23(4) 1814-1826, 2009.

    

7. L. Cai, Parameterized Complexity of Cardinality Constrained Optimization Problems, the Computer Journal 51(1) 102-121, 2008.

    

8. L. Cai, E. Verbin and L. Yang, Firefighting on Trees: (1 - 1/e)-Approximation, Fixed Parameter Tractability and a Subexponential Algorithm , ISAAC 2008, LNCS 5369, pp. 258-269, 2008.

    

9. L. Cai, S.M. Chan and S.O. Chan, Random Separation: a New Method for Solving Fixed-Cardinality Optimization Problems, IWPEC 2006, LNCS 4169, pp. 239-250, 2006.

    

10. L. Cai, Parameterized Complexity of Vertex Colouring, Discrete Applied Mathematics, 127(3) 415-429, 2003.

     

11. L.Cai, Fixed-parameter tractability of graph modification problems for hereditary properties, Information Processing Letters, 58, 171-176, 1996.

     

12. L. Cai and D.G. Corneil, Tree Spanners, SIAM Journal on Discrete Mathematics, 8(3), 359-387, 1995.