|
|
|
@ -580,58 +580,49 @@ comments: true
|
|
|
|
|
|
|
|
|
|
|
|
```csharp title="graph_adjacency_matrix.cs"
|
|
|
|
```csharp title="graph_adjacency_matrix.cs"
|
|
|
|
/* 基于邻接矩阵实现的无向图类 */
|
|
|
|
/* 基于邻接矩阵实现的无向图类 */
|
|
|
|
class GraphAdjMat
|
|
|
|
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<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”
|
|
|
|
List<List<int>> adjMat; // 邻接矩阵，行列索引对应“顶点索引”
|
|
|
|
|
|
|
|
|
|
|
|
/* 构造函数 */
|
|
|
|
/* 构造函数 */
|
|
|
|
public GraphAdjMat(int[] vertices, int[][] edges)
|
|
|
|
public GraphAdjMat(int[] vertices, int[][] edges) {
|
|
|
|
{
|
|
|
|
|
|
|
|
this.vertices = new List<int>();
|
|
|
|
this.vertices = new List<int>();
|
|
|
|
this.adjMat = new List<List<int>>();
|
|
|
|
this.adjMat = new List<List<int>>();
|
|
|
|
// 添加顶点
|
|
|
|
// 添加顶点
|
|
|
|
foreach (int val in vertices)
|
|
|
|
foreach (int val in vertices) {
|
|
|
|
{
|
|
|
|
|
|
|
|
addVertex(val);
|
|
|
|
addVertex(val);
|
|
|
|
}
|
|
|
|
}
|
|
|
|
// 添加边
|
|
|
|
// 添加边
|
|
|
|
// 请注意，edges 元素代表顶点索引，即对应 vertices 元素索引
|
|
|
|
// 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)
|
|
|
|
foreach (int[] e in edges) {
|
|
|
|
{
|
|
|
|
|
|
|
|
addEdge(e[0], e[1]);
|
|
|
|
addEdge(e[0], e[1]);
|
|
|
|
}
|
|
|
|
}
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
/* 获取顶点数量 */
|
|
|
|
/* 获取顶点数量 */
|
|
|
|
public int size()
|
|
|
|
public int size() {
|
|
|
|
{
|
|
|
|
|
|
|
|
return vertices.Count;
|
|
|
|
return vertices.Count;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
/* 添加顶点 */
|
|
|
|
/* 添加顶点 */
|
|
|
|
public void addVertex(int val)
|
|
|
|
public void addVertex(int val) {
|
|
|
|
{
|
|
|
|
|
|
|
|
int n = size();
|
|
|
|
int n = size();
|
|
|
|
// 向顶点列表中添加新顶点的值
|
|
|
|
// 向顶点列表中添加新顶点的值
|
|
|
|
vertices.Add(val);
|
|
|
|
vertices.Add(val);
|
|
|
|
// 在邻接矩阵中添加一行
|
|
|
|
// 在邻接矩阵中添加一行
|
|
|
|
List<int> newRow = new List<int>(n);
|
|
|
|
List<int> newRow = new List<int>(n);
|
|
|
|
for (int j = 0; j < n; j++)
|
|
|
|
for (int j = 0; j < n; j++) {
|
|
|
|
{
|
|
|
|
|
|
|
|
newRow.Add(0);
|
|
|
|
newRow.Add(0);
|
|
|
|
}
|
|
|
|
}
|
|
|
|
adjMat.Add(newRow);
|
|
|
|
adjMat.Add(newRow);
|
|
|
|
// 在邻接矩阵中添加一列
|
|
|
|
// 在邻接矩阵中添加一列
|
|
|
|
foreach (List<int> row in adjMat)
|
|
|
|
foreach (List<int> row in adjMat) {
|
|
|
|
{
|
|
|
|
|
|
|
|
row.Add(0);
|
|
|
|
row.Add(0);
|
|
|
|
}
|
|
|
|
}
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
/* 删除顶点 */
|
|
|
|
/* 删除顶点 */
|
|
|
|
public void removeVertex(int index)
|
|
|
|
public void removeVertex(int index) {
|
|
|
|
{
|
|
|
|
|
|
|
|
if (index >= size())
|
|
|
|
if (index >= size())
|
|
|
|
throw new IndexOutOfRangeException();
|
|
|
|
throw new IndexOutOfRangeException();
|
|
|
|
// 在顶点列表中移除索引 index 的顶点
|
|
|
|
// 在顶点列表中移除索引 index 的顶点
|
|
|
|
@ -639,16 +630,14 @@ comments: true
|
|
|
|
// 在邻接矩阵中删除索引 index 的行
|
|
|
|
// 在邻接矩阵中删除索引 index 的行
|
|
|
|
adjMat.RemoveAt(index);
|
|
|
|
adjMat.RemoveAt(index);
|
|
|
|
// 在邻接矩阵中删除索引 index 的列
|
|
|
|
// 在邻接矩阵中删除索引 index 的列
|
|
|
|
foreach (List<int> row in adjMat)
|
|
|
|
foreach (List<int> row in adjMat) {
|
|
|
|
{
|
|
|
|
|
|
|
|
row.RemoveAt(index);
|
|
|
|
row.RemoveAt(index);
|
|
|
|
}
|
|
|
|
}
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
/* 添加边 */
|
|
|
|
/* 添加边 */
|
|
|
|
// 参数 i, j 对应 vertices 元素索引
|
|
|
|
// 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
|
|
|
|
// 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();
|
|
|
|
throw new IndexOutOfRangeException();
|
|
|
|
@ -659,18 +648,16 @@ comments: true
|
|
|
|
|
|
|
|
|
|
|
|
/* 删除边 */
|
|
|
|
/* 删除边 */
|
|
|
|
// 参数 i, j 对应 vertices 元素索引
|
|
|
|
// 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
|
|
|
|
// 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();
|
|
|
|
throw new IndexOutOfRangeException();
|
|
|
|
adjMat[i][j] = 0;
|
|
|
|
adjMat[i][j] = 0;
|
|
|
|
adjMat[j][i] = 0;
|
|
|
|
adjMat[j][i] = 0;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
/* 打印邻接矩阵 */
|
|
|
|
/* 打印邻接矩阵 */
|
|
|
|
public void print()
|
|
|
|
public void print() {
|
|
|
|
{
|
|
|
|
|
|
|
|
Console.Write("顶点列表 = ");
|
|
|
|
Console.Write("顶点列表 = ");
|
|
|
|
PrintUtil.PrintList(vertices);
|
|
|
|
PrintUtil.PrintList(vertices);
|
|
|
|
Console.WriteLine("邻接矩阵 =");
|
|
|
|
Console.WriteLine("邻接矩阵 =");
|
|
|
|
@ -989,7 +976,7 @@ comments: true
|
|
|
|
def add_edge(self, vet1: Vertex, vet2: Vertex) -> None:
|
|
|
|
def add_edge(self, vet1: Vertex, vet2: Vertex) -> None:
|
|
|
|
"""添加边"""
|
|
|
|
"""添加边"""
|
|
|
|
if vet1 not in self.adj_list or vet2 not in self.adj_list or vet1 == vet2:
|
|
|
|
if vet1 not in self.adj_list or vet2 not in self.adj_list or vet1 == vet2:
|
|
|
|
raise ValueError
|
|
|
|
raise ValueError()
|
|
|
|
# 添加边 vet1 - vet2
|
|
|
|
# 添加边 vet1 - vet2
|
|
|
|
self.adj_list[vet1].append(vet2)
|
|
|
|
self.adj_list[vet1].append(vet2)
|
|
|
|
self.adj_list[vet2].append(vet1)
|
|
|
|
self.adj_list[vet2].append(vet1)
|
|
|
|
@ -997,7 +984,7 @@ comments: true
|
|
|
|
def remove_edge(self, vet1: Vertex, vet2: Vertex) -> None:
|
|
|
|
def remove_edge(self, vet1: Vertex, vet2: Vertex) -> None:
|
|
|
|
"""删除边"""
|
|
|
|
"""删除边"""
|
|
|
|
if vet1 not in self.adj_list or vet2 not in self.adj_list or vet1 == vet2:
|
|
|
|
if vet1 not in self.adj_list or vet2 not in self.adj_list or vet1 == vet2:
|
|
|
|
raise ValueError
|
|
|
|
raise ValueError()
|
|
|
|
# 删除边 vet1 - vet2
|
|
|
|
# 删除边 vet1 - vet2
|
|
|
|
self.adj_list[vet1].remove(vet2)
|
|
|
|
self.adj_list[vet1].remove(vet2)
|
|
|
|
self.adj_list[vet2].remove(vet1)
|
|
|
|
self.adj_list[vet2].remove(vet1)
|
|
|
|
@ -1012,7 +999,7 @@ comments: true
|
|
|
|
def remove_vertex(self, vet: Vertex) -> None:
|
|
|
|
def remove_vertex(self, vet: Vertex) -> None:
|
|
|
|
"""删除顶点"""
|
|
|
|
"""删除顶点"""
|
|
|
|
if vet not in self.adj_list:
|
|
|
|
if vet not in self.adj_list:
|
|
|
|
raise ValueError
|
|
|
|
raise ValueError()
|
|
|
|
# 在邻接表中删除顶点 vet 对应的链表
|
|
|
|
# 在邻接表中删除顶点 vet 对应的链表
|
|
|
|
self.adj_list.pop(vet)
|
|
|
|
self.adj_list.pop(vet)
|
|
|
|
# 遍历其他顶点的链表，删除所有包含 vet 的边
|
|
|
|
# 遍历其他顶点的链表，删除所有包含 vet 的边
|
|
|
|
@ -1307,18 +1294,15 @@ comments: true
|
|
|
|
|
|
|
|
|
|
|
|
```csharp title="graph_adjacency_list.cs"
|
|
|
|
```csharp title="graph_adjacency_list.cs"
|
|
|
|
/* 基于邻接表实现的无向图类 */
|
|
|
|
/* 基于邻接表实现的无向图类 */
|
|
|
|
class GraphAdjList
|
|
|
|
class GraphAdjList {
|
|
|
|
{
|
|
|
|
|
|
|
|
// 邻接表，key: 顶点，value：该顶点的所有邻接顶点
|
|
|
|
// 邻接表，key: 顶点，value：该顶点的所有邻接顶点
|
|
|
|
public Dictionary<Vertex, List<Vertex>> adjList;
|
|
|
|
public Dictionary<Vertex, List<Vertex>> adjList;
|
|
|
|
|
|
|
|
|
|
|
|
/* 构造函数 */
|
|
|
|
/* 构造函数 */
|
|
|
|
public GraphAdjList(Vertex[][] edges)
|
|
|
|
public GraphAdjList(Vertex[][] edges) {
|
|
|
|
{
|
|
|
|
|
|
|
|
this.adjList = new Dictionary<Vertex, List<Vertex>>();
|
|
|
|
this.adjList = new Dictionary<Vertex, List<Vertex>>();
|
|
|
|
// 添加所有顶点和边
|
|
|
|
// 添加所有顶点和边
|
|
|
|
foreach (Vertex[] edge in edges)
|
|
|
|
foreach (Vertex[] edge in edges) {
|
|
|
|
{
|
|
|
|
|
|
|
|
addVertex(edge[0]);
|
|
|
|
addVertex(edge[0]);
|
|
|
|
addVertex(edge[1]);
|
|
|
|
addVertex(edge[1]);
|
|
|
|
addEdge(edge[0], edge[1]);
|
|
|
|
addEdge(edge[0], edge[1]);
|
|
|
|
@ -1326,14 +1310,12 @@ comments: true
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
/* 获取顶点数量 */
|
|
|
|
/* 获取顶点数量 */
|
|
|
|
public int size()
|
|
|
|
public int size() {
|
|
|
|
{
|
|
|
|
|
|
|
|
return adjList.Count;
|
|
|
|
return adjList.Count;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
/* 添加边 */
|
|
|
|
/* 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)
|
|
|
|
if (!adjList.ContainsKey(vet1) || !adjList.ContainsKey(vet2) || vet1 == vet2)
|
|
|
|
throw new InvalidOperationException();
|
|
|
|
throw new InvalidOperationException();
|
|
|
|
// 添加边 vet1 - vet2
|
|
|
|
// 添加边 vet1 - vet2
|
|
|
|
@ -1342,8 +1324,7 @@ comments: true
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
/* 删除边 */
|
|
|
|
/* 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)
|
|
|
|
if (!adjList.ContainsKey(vet1) || !adjList.ContainsKey(vet2) || vet1 == vet2)
|
|
|
|
throw new InvalidOperationException();
|
|
|
|
throw new InvalidOperationException();
|
|
|
|
// 删除边 vet1 - vet2
|
|
|
|
// 删除边 vet1 - vet2
|
|
|
|
@ -1352,8 +1333,7 @@ comments: true
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
/* 添加顶点 */
|
|
|
|
/* 添加顶点 */
|
|
|
|
public void addVertex(Vertex vet)
|
|
|
|
public void addVertex(Vertex vet) {
|
|
|
|
{
|
|
|
|
|
|
|
|
if (adjList.ContainsKey(vet))
|
|
|
|
if (adjList.ContainsKey(vet))
|
|
|
|
return;
|
|
|
|
return;
|
|
|
|
// 在邻接表中添加一个新链表
|
|
|
|
// 在邻接表中添加一个新链表
|
|
|
|
@ -1361,25 +1341,21 @@ comments: true
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
/* 删除顶点 */
|
|
|
|
/* 删除顶点 */
|
|
|
|
public void removeVertex(Vertex vet)
|
|
|
|
public void removeVertex(Vertex vet) {
|
|
|
|
{
|
|
|
|
|
|
|
|
if (!adjList.ContainsKey(vet))
|
|
|
|
if (!adjList.ContainsKey(vet))
|
|
|
|
throw new InvalidOperationException();
|
|
|
|
throw new InvalidOperationException();
|
|
|
|
// 在邻接表中删除顶点 vet 对应的链表
|
|
|
|
// 在邻接表中删除顶点 vet 对应的链表
|
|
|
|
adjList.Remove(vet);
|
|
|
|
adjList.Remove(vet);
|
|
|
|
// 遍历其他顶点的链表，删除所有包含 vet 的边
|
|
|
|
// 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)
|
|
|
|
foreach (List<Vertex> list in adjList.Values) {
|
|
|
|
{
|
|
|
|
|
|
|
|
list.Remove(vet);
|
|
|
|
list.Remove(vet);
|
|
|
|
}
|
|
|
|
}
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
/* 打印邻接表 */
|
|
|
|
/* 打印邻接表 */
|
|
|
|
public void print()
|
|
|
|
public void print() {
|
|
|
|
{
|
|
|
|
|
|
|
|
Console.WriteLine("邻接表 =");
|
|
|
|
Console.WriteLine("邻接表 =");
|
|
|
|
foreach (KeyValuePair<Vertex, List<Vertex>> entry in adjList)
|
|
|
|
foreach (KeyValuePair<Vertex, List<Vertex>> entry in adjList) {
|
|
|
|
{
|
|
|
|
|
|
|
|
List<int> tmp = new List<int>();
|
|
|
|
List<int> tmp = new List<int>();
|
|
|
|
foreach (Vertex vertex in entry.Value)
|
|
|
|
foreach (Vertex vertex in entry.Value)
|
|
|
|
tmp.Add(vertex.val);
|
|
|
|
tmp.Add(vertex.val);
|
|
|
|
|
krahets
2 years ago