写一段python代码重新实现nx.betweenness_centrality函数
时间: 2024-02-16 08:02:46 浏览: 60
好的,以下是重新实现 nx.betweenness_centrality 函数的 Python 代码:
```python
def my_betweenness_centrality(G):
betweenness = dict.fromkeys(G, 0.0)
nodes = G
n = len(nodes)
for s in nodes:
# single source shortest paths
S = []
P = {}
for v in nodes:
P[v] = []
sigma = dict.fromkeys(nodes, 0.0)
D = {}
sigma[s] = 1.0
D[s] = 0
Q = [s]
while Q:
v = Q.pop(0)
S.append(v)
Dv = D[v]
sigmav = sigma[v]
for w in G[v]:
if w not in D:
Q.append(w)
D[w] = Dv + 1
if D[w] == Dv + 1:
sigma[w] += sigmav
P[w].append(v)
delta = dict.fromkeys(nodes, 0.0)
while S:
w = S.pop()
for v in P[w]:
delta[v] += (sigma[v] / sigma[w]) * (1.0 + delta[w])
if w != s:
betweenness[w] += delta[w]
return betweenness
```
这段代码实现了与 `nx.betweenness_centrality` 函数类似的功能,计算了给定图 `G` 中所有节点的中介中心性,返回一个字典,其中键是节点,值是其对应的中介中心性。