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Single Source Shortest Paths (SSSP) Problem on Dynamic Graphs
PhD Qualifying Examination Title: "Single Source Shortest Paths (SSSP) Problem on Dynamic Graphs" by Mr. Zijian LI Abstract: The single source shortest path (SSSP) problem is one of the most fundamental and classic topics in graph theory, which is one of the key problem in a large amount of real world applications. In this survey, we focus on the approaches which solves the SSSP problem on dynamic graphs. The dynamic graphs are graphs whose vertices and edges can be inserted and deleted, while the attributes of edges can be updated. The major difference between our survey and previous ones is that, our survey provides detailed illustrations of methods which solve the SSSP problem on both centralized and distributed systems, while the previous surveys only consider the centralized algorithms designed for single machine. We also show that the centralized algorithms cannot be simply applied to distributed systems due to the characteristics of distributed graph storage. Another difference between our survey and previous ones is that, most previous surveys only discusses the exact solutions for the SSSP problem on dynamic graphs. However, many real-world applications do not always require an exact shortest path, and an approximate one with some quality guarantee is also acceptable especially in real-time applications where the responsiveness is far more important than the accuracy. Therefore, in this survey, we also provide detailed discussions on the approximate solutions for centralized dynamic graphs. Date: Monday, 31 July 2017 Time: 5:00pm - 7:00pm Venue: Room 2612A Lifts 31/32 Committee Members: Prof. Lei Chen (Supervisor) Prof. Shing-Chi Cheung (Chairperson) Dr. Kai Chen Dr. Xiaojuan Ma **** ALL are Welcome ****