| [3-3]Weak Kernels |
| 时间:2010-03-02 |
Algorithm and Information Colloquium (AIC)
题目:Weak Kernels 报告人:Binhai Zhu(朱滨海) 时间:2010年3月3日(星期三)下午16:30 – 17:30 地点:软件所5号楼三层报告厅 茶歇:16:00 – 16:30(对面休息室)
摘要: Kernelization is a standard concept/method in fixed-parameter computation, which can be thought of as data reduction. In this talk, I will introduce `weak kernels' for fixed-parameter computation, which is roughly reducing solution search space for hard optimization problems. It can be shown that if a problem has a (traditional) kernel then it also has a weak kernel. The converse is not always true for problems beyond NP. For a problem in NP, it can be shown that if it has a weak kernel then it admits an FPT algorithm (hence a kernel). I will sketch a few applications of weak kernels, for which a (traditional) kernelization seems hard to apply. Among them, I will present the first FPT algorithm for the famous Sorting by Minimum Unsigned Reversals problem.
报告人简介: Dr. Binhai Zhu obtained his PhD from McGill University, Canada in 1994. He did his post-doc at Los Alamos National Laboratory, NM, USA between 1994 and 1996. Since 1996 he has taught in Hong Kong, Canada and USA. He is currently a professor at the Computer Science Department, Montana State University, USA. He has published over 100 papers in international journals and conference proceedings. He was the program committee co-chair for COCOON'2003, AAIM'2005, and COCOA'2007. His current research interests are mainly in computational biology, FPT algorithms and computational geometry. More information can be found on his web page at |