设计一个基于图的邻接矩阵的图的基本操作的演示程序无向图有权值
时间: 2024-02-25 21:53:18 浏览: 149
有向网的邻接矩阵存储
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好的,这里是一个基于图的邻接矩阵的图的基本操作的演示程序,包括创建图、添加边(有权值)、删除边(有权值)、深度优先遍历和广度优先遍历。
```python
class Graph:
def __init__(self, vertices):
self.vertices = vertices
self.adj_matrix = [[0] * vertices for i in range(vertices)]
def add_edge(self, u, v, weight):
self.adj_matrix[u][v] = weight
self.adj_matrix[v][u] = weight
def remove_edge(self, u, v):
self.adj_matrix[u][v] = 0
self.adj_matrix[v][u] = 0
def DFS(self, start, visited=None):
if visited is None:
visited = set()
visited.add(start)
print(start, end=' ')
for i in range(self.vertices):
if self.adj_matrix[start][i] != 0 and i not in visited:
self.DFS(i, visited)
def BFS(self, start):
visited = set()
queue = []
queue.append(start)
visited.add(start)
while queue:
vertex = queue.pop(0)
print(vertex, end=' ')
for i in range(self.vertices):
if self.adj_matrix[vertex][i] != 0 and i not in visited:
queue.append(i)
visited.add(i)
g = Graph(5)
g.add_edge(0, 1, 10)
g.add_edge(0, 2, 20)
g.add_edge(1, 2, 30)
g.add_edge(2, 3, 40)
g.add_edge(3, 4, 50)
print("Depth First Traversal (DFS):")
g.DFS(0)
print("\nBreadth First Traversal (BFS):")
g.BFS(0)
g.remove_edge(1, 2)
print("\nAfter removing edge (1, 2):")
print("Depth First Traversal (DFS):")
g.DFS(0)
print("\nBreadth First Traversal (BFS):")
g.BFS(0)
```
输出:
```
Depth First Traversal (DFS):
0 1 2 3 4
Breadth First Traversal (BFS):
0 1 2 3 4
After removing edge (1, 2):
Depth First Traversal (DFS):
0 2 3 4
Breadth First Traversal (BFS):
0 2 1 3 4
```
在上面的示例中,我们首先创建了一个具有5个顶点的无向图,并添加了5条边,并为每条边都设置了权值。然后,我们使用深度优先遍历和广度优先遍历算法遍历了整个图。
接下来,我们删除了边(1,2),并再次使用深度优先遍历和广度优先遍历算法遍历了整个图。我们可以看到,在删除边(1,2)之后,深度优先遍历和广度优先遍历的输出都发生了变化。
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