2023-02-15 21:24:24 +08:00
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/**
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* File: graph_adjacency_list.cs
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* Created Time: 2023-02-06
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* Author: zjkung1123 (zjkung1123@gmail.com)
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*/
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using hello_algo.include;
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using NUnit.Framework;
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namespace hello_algo.chapter_graph;
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/* 基于邻接表实现的无向图类 */
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class GraphAdjList
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{
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2023-02-15 21:45:35 +08:00
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// 邻接表,key: 顶点,value:该顶点的所有邻接结点
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2023-02-15 21:24:24 +08:00
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Dictionary<Vertex, List<Vertex>> adjList;
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/* 构造函数 */
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public GraphAdjList(Vertex[][] edges)
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{
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this.adjList = new Dictionary<Vertex, List<Vertex>>();
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// 添加所有顶点和边
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foreach (Vertex[] edge in edges)
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{
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addVertex(edge[0]);
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addVertex(edge[1]);
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addEdge(edge[0], edge[1]);
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}
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}
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/* 获取顶点数量 */
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public int size()
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{
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return adjList.Count;
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}
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/* 添加边 */
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public void addEdge(Vertex vet1, Vertex vet2)
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{
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if (!adjList.ContainsKey(vet1) || !adjList.ContainsKey(vet2) || vet1 == vet2)
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throw new InvalidOperationException();
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// 添加边 vet1 - vet2
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adjList[vet1].Add(vet2);
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adjList[vet2].Add(vet1);
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}
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/* 删除边 */
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public void removeEdge(Vertex vet1, Vertex vet2)
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{
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if (!adjList.ContainsKey(vet1) || !adjList.ContainsKey(vet2) || vet1 == vet2)
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throw new InvalidOperationException();
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// 删除边 vet1 - vet2
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adjList[vet1].Remove(vet2);
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adjList[vet2].Remove(vet1);
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}
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/* 添加顶点 */
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public void addVertex(Vertex vet)
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{
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if (adjList.ContainsKey(vet))
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return;
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// 在邻接表中添加一个新链表
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adjList.Add(vet, new List<Vertex>());
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}
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/* 删除顶点 */
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public void removeVertex(Vertex vet)
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{
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if (!adjList.ContainsKey(vet))
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throw new InvalidOperationException();
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// 在邻接表中删除顶点 vet 对应的链表
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adjList.Remove(vet);
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// 遍历其它顶点的链表,删除所有包含 vet 的边
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foreach (List<Vertex> list in adjList.Values)
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{
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list.Remove(vet);
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}
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}
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/* 打印邻接表 */
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public void print()
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{
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Console.WriteLine("邻接表 =");
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foreach (KeyValuePair<Vertex, List<Vertex>> entry in adjList)
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{
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List<int> tmp = new List<int>();
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foreach (Vertex vertex in entry.Value)
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tmp.Add(vertex.Val);
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Console.WriteLine(entry.Key.Val + ": [" + string.Join(", ", tmp) + "],");
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}
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}
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}
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public class graph_adjacency_list
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{
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[Test]
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public void Test()
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{
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/* 初始化无向图 */
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Vertex[] v = Vertex.valsToVets(new int[] { 1, 3, 2, 5, 4 });
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Vertex[][] edges = new Vertex[][] { new Vertex[] { v[0], v[1] }, new Vertex[] { v[0], v[3] },
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new Vertex[] { v[1], v[2] }, new Vertex[] { v[2], v[3] },
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new Vertex[] { v[2], v[4] }, new Vertex[] { v[3], v[4] } };
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GraphAdjList graph = new GraphAdjList(edges);
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Console.WriteLine("\n初始化后,图为");
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graph.print();
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/* 添加边 */
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// 顶点 1, 2 即 v[0], v[2]
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graph.addEdge(v[0], v[2]);
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Console.WriteLine("\n添加边 1-2 后,图为");
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graph.print();
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/* 删除边 */
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// 顶点 1, 3 即 v[0], v[1]
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graph.removeEdge(v[0], v[1]);
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Console.WriteLine("\n删除边 1-3 后,图为");
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graph.print();
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/* 添加顶点 */
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Vertex v5 = new Vertex(6);
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graph.addVertex(v5);
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Console.WriteLine("\n添加顶点 6 后,图为");
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graph.print();
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/* 删除顶点 */
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// 顶点 3 即 v[1]
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graph.removeVertex(v[1]);
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Console.WriteLine("\n删除顶点 3 后,图为");
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graph.print();
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}
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}
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