给我最短路径算法的代码
时间: 2023-05-17 18:03:25 浏览: 43
以下是 Dijkstra 算法的 Python 代码:
```python
import heapq
def dijkstra(graph, start):
distances = {node: float('inf') for node in graph}
distances[start] = 0
pq = [(0, start)]
while pq:
current_distance, current_node = heapq.heappop(pq)
if current_distance > distances[current_node]:
continue
for neighbor, weight in graph[current_node].items():
distance = current_distance + weight
if distance < distances[neighbor]:
distances[neighbor] = distance
heapq.heappush(pq, (distance, neighbor))
return distances
```
其中,`graph` 是一个字典,表示图的邻接表,`start` 是起点。算法的时间复杂度为 $O(E \log V)$,其中 $E$ 是边数,$V$ 是顶点数。