PYTHON 输入图 输出欧拉路径
时间: 2024-05-01 14:23:03 浏览: 12
欧拉路径是指通过图上所有边恰好一次的路径。以下是 Python 代码实现欧拉路径的查找:
```python
from collections import defaultdict
def find_euler_path(graph):
# 记录每个节点的度数
degrees = defaultdict(int)
for node in graph:
for neighbor in graph[node]:
degrees[node] += 1
degrees[neighbor] += 1
# 找到起点
start_node = None
for node in graph:
if degrees[node] % 2 == 1:
start_node = node
break
if start_node is None:
start_node = next(iter(graph))
# 模拟遍历过程
path = []
stack = [start_node]
while stack:
node = stack[-1]
if graph[node]:
neighbor = graph[node].pop()
del graph[neighbor][node]
stack.append(neighbor)
else:
path.append(stack.pop())
return path
```
该代码接受一个字典形式的图作为输入,其中键为节点,值为列表表示与该节点相邻的节点。输出为欧拉路径的节点列表。如果不存在欧拉路径,则返回空列表。