修改代码,我需要是从文件中导入,然后结果画出图
时间: 2024-02-13 09:05:37 浏览: 28
以下是修改后的代码,可以从文件中导入图的邻接矩阵,然后使用 `networkx` 库绘制最小割结果的图形:
```python
import random
import networkx as nx
import matplotlib.pyplot as plt
def min_cut(graph):
n = len(graph)
# 初始化点集和边集
vertices = [i for i in range(n)]
edges = []
for i in range(n):
for j in range(i+1, n):
if graph[i][j] > 0:
edges.append((i, j))
while len(vertices) > 1:
# 随机选择一个点作为源点
s = random.choice(vertices)
# 初始化两个集合
A = [s]
B = [v for v in vertices if v != s]
# 初始化两个集合的权值和
wA = [0] * n
wB = [0] * n
while len(B) > 0:
# 找到连接A和B的最小横切边
min_cut_edge = (-1, -1)
min_cut_weight = float('inf')
for i, j in edges:
if i in A and j in B and graph[i][j] < min_cut_weight:
min_cut_edge = (i, j)
min_cut_weight = graph[i][j]
elif j in A and i in B and graph[j][i] < min_cut_weight:
min_cut_edge = (j, i)
min_cut_weight = graph[j][i]
# 将该边的两个端点合并到同一个集合中
if min_cut_edge[0] in A:
A.append(min_cut_edge[1])
B.remove(min_cut_edge[1])
for i in range(n):
wA[i] += graph[min_cut_edge[1]][i]
wB[i] -= graph[min_cut_edge[1]][i]
else:
B.append(min_cut_edge[0])
A.remove(min_cut_edge[0])
for i in range(n):
wB[i] += graph[min_cut_edge[0]][i]
wA[i] -= graph[min_cut_edge[0]][i]
# 计算剩余边的权值
cut_weight = 0
for i in range(n):
if i in B:
cut_weight += wB[i]
# 删除该点和与该点相连的所有边
vertices.remove(s)
new_graph = [[0] * (len(vertices)) for _ in range(len(vertices))]
for i in range(len(vertices)):
for j in range(i+1, len(vertices)):
new_graph[i][j] = graph[vertices[i]][vertices[j]]
new_graph[j][i] = graph[vertices[j]][vertices[i]]
# 更新边集
edges = []
for i in range(len(vertices)):
for j in range(i+1, len(vertices)):
if new_graph[i][j] > 0:
edges.append((i, j))
# 更新图
graph = new_graph
# 返回最小割的权值
return cut_weight
# 从文件中导入邻接矩阵
with open('graph.txt', 'r') as f:
lines = f.readlines()
graph = [[int(x) for x in line.strip().split()] for line in lines]
# 计算最小割
min_cut_weight = min_cut(graph)
print('最小割的权值为:', min_cut_weight)
# 使用networkx库绘制图形
G = nx.Graph()
for i in range(len(graph)):
for j in range(i+1, len(graph)):
if graph[i][j] > 0:
G.add_edge(i, j, weight=graph[i][j])
pos = nx.spring_layout(G)
cut_edges = []
for i, j in G.edges():
if i in A and j in B:
cut_edges.append((i, j))
nx.draw_networkx_nodes(G, pos, node_size=500, node_color='y')
nx.draw_networkx_labels(G, pos, font_size=16)
nx.draw_networkx_edges(G, pos, edge_color='b', width=1)
nx.draw_networkx_edge_labels(G, pos, edge_labels={(i, j): graph[i][j] for i, j in G.edges()}, font_size=12, label_pos=0.5)
nx.draw_networkx_edges(G, pos, edgelist=cut_edges, edge_color='r', width=2)
plt.axis('off')
plt.show()
```
其中,`graph.txt` 文件中存放了图的邻接矩阵,其格式如下:
```
0 2 3 4
2 0 1 0
3 1 0 5
4 0 5 0
```
运行代码后,会输出最小割的权值,并显示绘制的最小割结果的图形。其中,红色的边表示最小割的割边,蓝色的边表示原图的边,边权值标在边上。