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krahets
2023-10-08 01:43:28 +08:00
parent 3d2d669b43
commit baac2d11a7
52 changed files with 999 additions and 625 deletions
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zh/chapter_graph/graph_operations.md
+25 -25
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@@ -294,8 +294,8 @@ comments: true
```csharp title="graph_adjacency_matrix.cs"
/* 基于邻接矩阵实现的无向图类 */
class GraphAdjMat {
List<int> vertices; // 顶点列表，元素代表“顶点值”，索引代表“顶点索引”
List<List<int>> adjMat; // 邻接矩阵，行列索引对应“顶点索引”
readonly List<int> vertices; // 顶点列表，元素代表“顶点值”，索引代表“顶点索引”
readonly List<List<int>> adjMat; // 邻接矩阵，行列索引对应“顶点索引”
/* 构造函数 */
public GraphAdjMat(int[] vertices, int[][] edges) {
@@ -303,27 +303,27 @@ comments: true
this.adjMat = new List<List<int>>();
// 添加顶点
foreach (int val in vertices) {
addVertex(val);
AddVertex(val);
}
// 添加边
// 请注意，edges 元素代表顶点索引，即对应 vertices 元素索引
foreach (int[] e in edges) {
addEdge(e[0], e[1]);
AddEdge(e[0], e[1]);
}
}
/* 获取顶点数量 */
public int size() {
public int Size() {
return vertices.Count;
}
/* 添加顶点 */
public void addVertex(int val) {
int n = size();
public void AddVertex(int val) {
int n = Size();
// 向顶点列表中添加新顶点的值
vertices.Add(val);
// 在邻接矩阵中添加一行
List<int> newRow = new List<int>(n);
List<int> newRow = new(n);
for (int j = 0; j < n; j++) {
newRow.Add(0);
}
@@ -335,8 +335,8 @@ comments: true
}
/* 删除顶点 */
public void removeVertex(int index) {
if (index >= size())
public void RemoveVertex(int index) {
if (index >= Size())
throw new IndexOutOfRangeException();
// 在顶点列表中移除索引 index 的顶点
vertices.RemoveAt(index);
@@ -350,9 +350,9 @@ comments: true
/* 添加边 */
// 参数 i, j 对应 vertices 元素索引
public void addEdge(int i, int j) {
public void AddEdge(int i, int j) {
// 索引越界与相等处理
if (i < 0 || j < 0 || i >= size() || j >= size() || i == j)
if (i < 0 || j < 0 || i >= Size() || j >= Size() || i == j)
throw new IndexOutOfRangeException();
// 在无向图中，邻接矩阵沿主对角线对称，即满足 (i, j) == (j, i)
adjMat[i][j] = 1;
@@ -361,16 +361,16 @@ comments: true
/* 删除边 */
// 参数 i, j 对应 vertices 元素索引
public void removeEdge(int i, int j) {
public void RemoveEdge(int i, int j) {
// 索引越界与相等处理
if (i < 0 || j < 0 || i >= size() || j >= size() || i == j)
if (i < 0 || j < 0 || i >= Size() || j >= Size() || i == j)
throw new IndexOutOfRangeException();
adjMat[i][j] = 0;
adjMat[j][i] = 0;
}
/* 打印邻接矩阵 */
public void print() {
public void Print() {
Console.Write("顶点列表 = ");
PrintUtil.PrintList(vertices);
Console.WriteLine("邻接矩阵 =");
@@ -1390,19 +1390,19 @@ comments: true
this.adjList = new Dictionary<Vertex, List<Vertex>>();
// 添加所有顶点和边
foreach (Vertex[] edge in edges) {
addVertex(edge[0]);
addVertex(edge[1]);
addEdge(edge[0], edge[1]);
AddVertex(edge[0]);
AddVertex(edge[1]);
AddEdge(edge[0], edge[1]);
}
}
/* 获取顶点数量 */
public int size() {
public int Size() {
return adjList.Count;
}
/* 添加边 */
public void addEdge(Vertex vet1, Vertex vet2) {
public void AddEdge(Vertex vet1, Vertex vet2) {
if (!adjList.ContainsKey(vet1) || !adjList.ContainsKey(vet2) || vet1 == vet2)
throw new InvalidOperationException();
// 添加边 vet1 - vet2
@@ -1411,7 +1411,7 @@ comments: true
}
/* 删除边 */
public void removeEdge(Vertex vet1, Vertex vet2) {
public void RemoveEdge(Vertex vet1, Vertex vet2) {
if (!adjList.ContainsKey(vet1) || !adjList.ContainsKey(vet2) || vet1 == vet2)
throw new InvalidOperationException();
// 删除边 vet1 - vet2
@@ -1420,7 +1420,7 @@ comments: true
}
/* 添加顶点 */
public void addVertex(Vertex vet) {
public void AddVertex(Vertex vet) {
if (adjList.ContainsKey(vet))
return;
// 在邻接表中添加一个新链表
@@ -1428,7 +1428,7 @@ comments: true
}
/* 删除顶点 */
public void removeVertex(Vertex vet) {
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
@@ -1440,10 +1440,10 @@ comments: true
}
/* 打印邻接表 */
public void print() {
public void Print() {
Console.WriteLine("邻接表 =");
foreach (KeyValuePair<Vertex, List<Vertex>> pair in adjList) {
List<int> tmp = new List<int>();
List<int> tmp = new();
foreach (Vertex vertex in pair.Value)
tmp.Add(vertex.val);
Console.WriteLine(pair.Key.val + ": [" + string.Join(", ", tmp) + "],");