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Review for Final Neil Tang 04/27/2010. Course Survey. Please complete the course survey at: http://www.cs.montana.edu/survey/. Time Complexity Analysis. Asymptotic notations (O, , ): definition, properties Important functions: polynomial, logN, 2 N 4 Rules

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## Review for Final Neil Tang 04/27/2010

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**Review for Final Neil Tang04/27/2010**CS223 Advanced Data Structures and Algorithms**Course Survey**Please complete the course survey at: http://www.cs.montana.edu/survey/ CS223 Advanced Data Structures and Algorithms**Time Complexity Analysis**• Asymptotic notations (O, , ): definition, properties • Important functions: polynomial, logN, 2N • 4 Rules • Recursion and the master method CS223 Advanced Data Structures and Algorithms**Graphs**• Basic concepts • Adjacency matrix and list • Topological sort • BFS, DFS and their applications (strong connected components) • Shortest path: Dijkstra’s algorithm, the Bellman-Ford algorithm, implementation. CS223 Advanced Data Structures and Algorithms**Graphs**• Minimum spanning tree: Prim’s algorithm, Kruskal’s algorithm, implementation. • Maximum flow: The Ford-Furkerson algorithm, implementation. • Time complexities CS223 Advanced Data Structures and Algorithms**Algorithm Design Techniques**• Dynamic programming: Recursive equation evaluation, all-pairs shortest path, ordering matrix multiplications. • Divide and conquer: Quick/merge sort, integer/matrix multiplication. • Greedy algorithm: Examples, bin packing algorithms. • Time complexity analysis CS223 Advanced Data Structures and Algorithms

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