dijkstra伪码
时间: 2024-11-28 16:17:50 浏览: 7
Dijkstra算法是一种用于寻找图中两点之间最短路径的经典贪心算法。以下是Dijkstra算法的基本伪代码:
```python
function Dijkstra(graph, start):
distances = {} # 初始化所有节点的距离为无穷大,除了起点为0
visited = set() # 存储已访问节点
for node in graph.vertices:
distances[node] = float('infinity')
distances[start] = 0
while not visited == graph.vertices: # 当还有未访问节点时
current_smallest_distance_node = None # 找到距离最小的节点
for node in graph.vertices - visited:
if current_smallest_distance_node is None or distances[node] < distances[current_smallest_distance_node]:
current_smallest_distance_node = node
visited.add(current_smallest_distance_node) # 标记当前节点为已访问
for neighbor, weight in graph.edges[current_smallest_distance_node].items(): # 遍历邻居
new_distance = distances[current_smallest_distance_node] + weight # 更新通过邻居到达新节点的总距离
if new_distance < distances[neighbor]: # 如果新的距离更小,则更新
distances[neighbor] = new_distance
return distances # 返回从起始点到每个节点的最短距离
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