优先队列分支限界法求但单源最短路径Python
时间: 2023-11-19 13:11:49 浏览: 105
分支限界法求解单源最短路径
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好的,关于优先队列分支限界法求单源最短路径的Python实现,可以参考以下代码:
```python
import heapq
def dijkstra(graph, start):
"""
Find shortest path to all nodes from the given start node
using Dijkstra's algorithm with priority queue and branch
and bound technique.
:param graph: Graph structure represented as adjacency list
:param start: Starting node
:return: Shortest path to all nodes from the start node
"""
# Initialize distances to all nodes as infinity except start node
distances = {node: float('inf') for node in graph}
distances[start] = 0
# Initialize priority queue
pq = [(0, start)]
heapq.heapify(pq)
while pq:
# Get vertex with minimum known distance
curr_dist, curr_vert = heapq.heappop(pq)
# Ignore nodes whose distance is already determined
if curr_dist > distances[curr_vert]:
continue
# Explore all edges outgoing from current vertex
for adj_vert, edge_weight in graph[curr_vert].items():
# Calculate new tentative distance to adjacent vertex
tentative_dist = distances[curr_vert] + edge_weight
# Update tentative distance if it's less than the already known distance
if tentative_dist < distances[adj_vert]:
distances[adj_vert] = tentative_dist
heapq.heappush(pq, (tentative_dist, adj_vert))
return distances
```
这个函数使用优先队列和分支限界技术实现了Dijkstra算法。它接受一个图结构的邻接列表和一个起始节点作为输入,并返回起始节点到所有节点的最短路径。
希望这个代码能够帮到你,如果你还有其他问题,可以继续问我哦!
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