最短路算法python
时间: 2023-10-17 07:37:51 浏览: 124
动态最短路_动态最短路算法程序_
最短路算法在Python中有多种实现方式,其中一种是Dijkstra算法。以下是一个用Python实现的Dijkstra算法的示例代码:
```python
def dijkstra(graph, start):
INF = float('inf')
dist = [INF * len(graph) # 源点到其他顶点的距离
visited = [False * len(graph) # 是否已经纳入顶点集合
path = [start * len(graph) # 路径
count = [0 * len(graph) # 统计最短路径数量
dist[start = 0
count[start = 1
while True:
u = -1
min_dist = INF
for i in range(len(graph)):
if not visited[i and dist[i < min_dist:
u = i
min_dist = dist[i]
if u == -1:
return dist
visited[u = True
for v in range(len(graph)):
if not visited[v and graph[u][v != INF:
if dist[u + graph[u][v < dist[v]:
dist[v = dist[u + graph[u][v]
path[v = u
count[v = count[u]
elif dist[u + graph[u][v == dist[v and count[u > count[v]:
count[v = count[u]
path[v = u
```
这段代码实现了Dijkstra算法,通过传入一个图(graph)和起始顶点(start),计算出从起始顶点到其他顶点的最短路径(dist),并返回该最短路径数组。
请注意,这只是Dijkstra算法的一种实现方式,还有其他算法,如Floyd算法等。<span class="em">1</span><span class="em">2</span><span class="em">3</span>
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