Graph Theory outline

I have always been biased towards Graph Theory in the team. I 'd like to outline the Learning Outline and complete it when I have time.

 

1. Basic concepts of Graphs

2. Storage Structure

2.1. Adjacent matrix

2.2. Adjacent linked list

2.3. Forward star

3. Shortest Path

3.1. Prerequisites

3.1.1. Dynamic Planning

Used to understand triangular inequalities and relaxation operations

3.1.2. Graph Traversal

3.1.2.1. Directed Graph and undirected graph

3.1.2.2. DFS

3.1.2.3. BFS

3.2. Single-source shortest path algorithm

3.2.1. Dijkstra Algorithm

3.2.1.1. Greedy Thoughts

3.2.1.2. Heap Optimization

3.2.2. Bellman-Ford Algorithm

3.2.3. spfa Algorithm

3.2.3.1. spfa and forward star greedy Optimization

3.2.3.2. The spfa structure applies to various BFS optimizations.

3.2.4. Differential constraint system

3.2.5. Secondary short circuit and K Short Circuit

3.3. Multi-Source Shortest Path

3.3.1. Single-source shortest path algorithm implementation

3.3.2. Full Source Shortest Path

3.3.2.1. folyed-warshall Algorithm

3.3.2.2. Evaluate the minimum ring with floyed

4. topological sorting

4.1. General topological sorting

4.2. DFS Timestamp

5. Tree in Graph Theory

5.1. tree traversal

5.2. Minimum Tree Structure

5.3. Minimum Spanning Tree (MST)

5.3.1. prim algorithm

5.3.2. Kruskal Algorithm

5.3.2.1. Check the set

5.3.3. Secondary minor Spanning Tree and K minor Spanning Tree

5.4. Generate tree count

5.5. Tree Diameter and center of gravity

5.6. Recent public ancestor (LCA)

5.7. Tree grouping Algorithm

5.8. Dynamic Tree (LCT)

6. Graph Decomposition

6.1. Connectivity

6.1.1. strongly connected components of a Directed Graph

6.1.1.1. kosaraju Algorithm

6.1.2. Dual-Unicom Branch

6.2. cut points and bridges

7. network stream

7.1. Maximum stream

7.1.1. Maximum Flow least cut Theorem

7.1.2. zengguang Road

7.1.3. Fee Flow

7.2. Maximum binary matching

7.2.1. Hungarian algorithm

7.3. Maximum density subgraph

8. Other Special graph Problems

8.1. Euler Loop

 

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After writing this article... it will be a long article at the top...

 

 

　　

Graph Theory outline