最大网络流算法代码实现
时间: 2023-09-18 22:14:00 浏览: 56
以下是一个基于Ford-Fulkerson算法的最大网络流算法的代码实现,其中使用了BFS来寻找增广路径:
```python
# 定义一个函数用于寻找增广路径
def bfs(graph, s, t, parent):
visited = [False] * len(graph)
queue = [s]
visited[s] = True
while queue:
u = queue.pop(0)
for i, capacity in enumerate(graph[u]):
if visited[i] == False and capacity > 0:
queue.append(i)
visited[i] = True
parent[i] = u
return visited[t]
# 定义一个函数用于计算最大网络流
def ford_fulkerson(graph, source, sink):
n = len(graph)
parent = [-1] * n
max_flow = 0
while bfs(graph, source, sink, parent):
path_flow = float("Inf")
s = sink
while s != source:
path_flow = min(path_flow, graph[parent[s]][s])
s = parent[s]
max_flow += path_flow
v = sink
while v != source:
u = parent[v]
graph[u][v] -= path_flow
graph[v][u] += path_flow
v = parent[v]
return max_flow
```
其中,graph为网络的邻接矩阵表示,source为源节点的编号,sink为汇节点的编号。函数返回值为最大网络流的大小。