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算法设计与分析
课程类型:
选修课
发布时间:
2025-09-26 09:21:58
主讲教师:
王振波
课程来源:
录制
建议学分:
0.00分
课程编码:
xxsx006
课程介绍
课程目录
教师团队
算法设计与分析
1.1 Introduction
(5分钟)
1.2 A First Problem Stable Matching
(5分钟)
1.3 Gale-Shapley Algorithm
(6分钟)
1.4 Understanding Gale-Shapley Algorithm
(7分钟)
2.1 Computational Tractability
(4分钟)
2.2 Asymptotic Order of Growth
(5分钟)
2.3 A Survey of Common Running Times
(6分钟)
3.1 Basic Definitions and Applications
(8分钟)
3.2 Graph Traversal
(5分钟)
3.3 Testing Bipartiteness
(4分钟)
3.4 Connectivity in Directed Graphs
(4分钟)
3.5 DAG and Topological Ordering
(8分钟)
4.1 Coin Changing
(6分钟)
4.2 Interval Scheduling
(6分钟)
4.3 Interval Partitioning
(3分钟)
4.4 Scheduling to Minimize Lateness
(6分钟)
4.5 Optimal Caching
(9分钟)
4.6 Shortest Paths in a Graph
(7分钟)
4.7 Minimum Spanning Tree
(5分钟)
4.8 Correctness of Algorithms
(5分钟)
4.9 Clustering
(5分钟)
5.1 Mergesort
(10分钟)
5.2 Counting Inversions
(7分钟)
5.3 Closest Pair of Points
(8分钟)
5.4 Integer Multiplication
(4分钟)
5.5 Matrix Multiplication
(6分钟)
5.6 Convolution and FFT
(8分钟)
5.7 FFT
(5分钟)
5.8 Inverse DFT
(5分钟)
6.1 Weighted Interval Scheduling
(11分钟)
6.2 Segmented Least Squares
(5分钟)
6.3 Knapsack Problem
(7分钟)
6.4 RNA Secondary Structure
(9分钟)
6.5 Sequence Alignment
(6分钟)
6.6 Shortest Paths
(6分钟)
7.1 Flows and Cuts
(6分钟)
7.2 Minimum Cut and Maximum Flow
(5分钟)
7.3 Ford-Fulkerson Algorithm
(9分钟)
7.4 Choosing Good Augmenting Paths
(8分钟)
7.5 Bipartite Matching
(6分钟)
8.1 Polynomial-Time Reductions
(6分钟)
8.2 Basic Reduction Strategies I
(6分钟)
8.3 Basic Reduction Strategies II
(8分钟)
8.4 Definition of NP
(6分钟)
8.5 Problems in NP
(7分钟)
8.6 NP-Completeness
(6分钟)
8.7 Sequencing Problems
(10分钟)
8.8 Numerical Problems
(8分钟)
8.9 co-NP and the Asymmetry of NP
(3分钟)
9.1 Load Balancing
(12分钟)
9.2 Center Selection
(8分钟)
9.3 The Pricing Method- Vertex Cover
(6分钟)
9.4 LP Rounding- Vertex Cover
(7分钟)
9.5 Knapsack Problem
(12分钟)
10.1 Landscape of an Optimization Problem
(4分钟)
10.2 Maximum Cut
(7分钟)
10.3 Nash Equilibria
(6分钟)
10.4 Price of Stability
(8分钟)
11.1 Contention Resolution
(7分钟)
11.2 Linearity of Expectation
(5分钟)
11.3 MAX 3-SAT
(7分钟)
11.4 Chernoff Bounds
(5分钟)