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A Survey of Facility Location Problems on Trees
PhD Qualifying Examination Title: "A Survey of Facility Location Problems on Trees" by Mr. Jinxiang GAN Abstract: Over the last few decades, there has been a lot of work on facility location problems, in particular, the k-center and k-median problem and variations. These problems place facilities that service clients, trying to minimize the service cost under some metric. While most facility-location problems are NP-hard on general networks, they are usually polynomial-time solvable on restricted graphs such as paths and trees. Even restricted to such special cases there has still been a lot of work on devising the most efficient algorithms for those graphs. In this survey, we review the literature of solving the network location problems on paths and trees, summarize some of the important techniques developed and propose possible directions for future research. Date: Thursday, 2 September 2021 Time: 2:00pm - 4:00pm Zoom meeting: https://hkust.zoom.com.cn/j/93379002126?pwd=VjRWNGQyQ1FuWVByTjJ5TDc1QkY4dz09 Committee Members: Prof. Mordecai Golin (Supervisor) Prof. Ke Yi (Chairperson) Dr. Sunil Arya Prof. Siu-Wing Cheng **** ALL are Welcome ****