在已形成的网络G中,存在节点i与其邻居构成的子图Gi,我们想得到Gi中每个邻居到彼此的最短距离,并求其倒数之和,用python写出
时间: 2024-03-13 07:42:32 浏览: 54
可以使用networkx库中的函数来实现该问题。代码如下:
```python
import networkx as nx
# 构造图G
G = nx.Graph()
G.add_edges_from([(1, 2), (1, 3), (2, 3), (3, 4), (3, 5), (4, 5)])
# 遍历每个节点,计算邻居间的最短距离并求倒数之和
sum_inv_dist = 0
for node in G.nodes():
neighbors = list(G.neighbors(node))
subgraph = G.subgraph([node] + neighbors)
shortest_paths = dict(nx.shortest_path_length(subgraph))
for i, n1 in enumerate(neighbors):
for n2 in neighbors[i+1:]:
dist = shortest_paths[n1][n2]
sum_inv_dist += 1 / dist
print(sum_inv_dist)
```
这里构造了一个简单的图G作为例子,可以根据实际情况修改。
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