mirror of
https://github.com/krahets/hello-algo.git
synced 2024-12-27 03:16:29 +08:00
e720aa2d24
* Sync recent changes to the revised Word. * Revised the preface chapter * Revised the introduction chapter * Revised the computation complexity chapter * Revised the chapter data structure * Revised the chapter array and linked list * Revised the chapter stack and queue * Revised the chapter hashing * Revised the chapter tree * Revised the chapter heap * Revised the chapter graph * Revised the chapter searching * Reivised the sorting chapter * Revised the divide and conquer chapter * Revised the chapter backtacking * Revised the DP chapter * Revised the greedy chapter * Revised the appendix chapter * Revised the preface chapter doubly * Revised the figures
122 lines
3.5 KiB
C#
122 lines
3.5 KiB
C#
/**
|
||
* File: graph_adjacency_list.cs
|
||
* Created Time: 2023-02-06
|
||
* Author: zjkung1123 (zjkung1123@gmail.com)
|
||
*/
|
||
|
||
namespace hello_algo.chapter_graph;
|
||
|
||
/* 基于邻接表实现的无向图类 */
|
||
public class GraphAdjList {
|
||
// 邻接表，key：顶点，value：该顶点的所有邻接顶点
|
||
public Dictionary<Vertex, List<Vertex>> adjList;
|
||
|
||
/* 构造函数 */
|
||
public GraphAdjList(Vertex[][] edges) {
|
||
adjList = [];
|
||
// 添加所有顶点和边
|
||
foreach (Vertex[] edge in edges) {
|
||
AddVertex(edge[0]);
|
||
AddVertex(edge[1]);
|
||
AddEdge(edge[0], edge[1]);
|
||
}
|
||
}
|
||
|
||
/* 获取顶点数量 */
|
||
int Size() {
|
||
return adjList.Count;
|
||
}
|
||
|
||
/* 添加边 */
|
||
public void AddEdge(Vertex vet1, Vertex vet2) {
|
||
if (!adjList.ContainsKey(vet1) || !adjList.ContainsKey(vet2) || vet1 == vet2)
|
||
throw new InvalidOperationException();
|
||
// 添加边 vet1 - vet2
|
||
adjList[vet1].Add(vet2);
|
||
adjList[vet2].Add(vet1);
|
||
}
|
||
|
||
/* 删除边 */
|
||
public void RemoveEdge(Vertex vet1, Vertex vet2) {
|
||
if (!adjList.ContainsKey(vet1) || !adjList.ContainsKey(vet2) || vet1 == vet2)
|
||
throw new InvalidOperationException();
|
||
// 删除边 vet1 - vet2
|
||
adjList[vet1].Remove(vet2);
|
||
adjList[vet2].Remove(vet1);
|
||
}
|
||
|
||
/* 添加顶点 */
|
||
public void AddVertex(Vertex vet) {
|
||
if (adjList.ContainsKey(vet))
|
||
return;
|
||
// 在邻接表中添加一个新链表
|
||
adjList.Add(vet, []);
|
||
}
|
||
|
||
/* 删除顶点 */
|
||
public void RemoveVertex(Vertex vet) {
|
||
if (!adjList.ContainsKey(vet))
|
||
throw new InvalidOperationException();
|
||
// 在邻接表中删除顶点 vet 对应的链表
|
||
adjList.Remove(vet);
|
||
// 遍历其他顶点的链表，删除所有包含 vet 的边
|
||
foreach (List<Vertex> list in adjList.Values) {
|
||
list.Remove(vet);
|
||
}
|
||
}
|
||
|
||
/* 打印邻接表 */
|
||
public void Print() {
|
||
Console.WriteLine("邻接表 =");
|
||
foreach (KeyValuePair<Vertex, List<Vertex>> pair in adjList) {
|
||
List<int> tmp = [];
|
||
foreach (Vertex vertex in pair.Value)
|
||
tmp.Add(vertex.val);
|
||
Console.WriteLine(pair.Key.val + ": [" + string.Join(", ", tmp) + "],");
|
||
}
|
||
}
|
||
}
|
||
|
||
public class graph_adjacency_list {
|
||
[Test]
|
||
public void Test() {
|
||
/* 初始化无向图 */
|
||
Vertex[] v = Vertex.ValsToVets([1, 3, 2, 5, 4]);
|
||
Vertex[][] edges =
|
||
[
|
||
[v[0], v[1]],
|
||
[v[0], v[3]],
|
||
[v[1], v[2]],
|
||
[v[2], v[3]],
|
||
[v[2], v[4]],
|
||
[v[3], v[4]]
|
||
];
|
||
GraphAdjList graph = new(edges);
|
||
Console.WriteLine("\n初始化后，图为");
|
||
graph.Print();
|
||
|
||
/* 添加边 */
|
||
// 顶点 1, 2 即 v[0], v[2]
|
||
graph.AddEdge(v[0], v[2]);
|
||
Console.WriteLine("\n添加边 1-2 后，图为");
|
||
graph.Print();
|
||
|
||
/* 删除边 */
|
||
// 顶点 1, 3 即 v[0], v[1]
|
||
graph.RemoveEdge(v[0], v[1]);
|
||
Console.WriteLine("\n删除边 1-3 后，图为");
|
||
graph.Print();
|
||
|
||
/* 添加顶点 */
|
||
Vertex v5 = new(6);
|
||
graph.AddVertex(v5);
|
||
Console.WriteLine("\n添加顶点 6 后，图为");
|
||
graph.Print();
|
||
|
||
/* 删除顶点 */
|
||
// 顶点 3 即 v[1]
|
||
graph.RemoveVertex(v[1]);
|
||
Console.WriteLine("\n删除顶点 3 后，图为");
|
||
graph.Print();
|
||
}
|
||
}
|