modularity计算模块度的函数实现
时间: 2023-11-01 20:07:41 浏览: 35
计算模块度的函数实现可以根据不同的算法进行选择,以下是一些常用的算法:
1. Newman-Girvan 算法:
```python
def modularity(graph, communities):
m = graph.sum() / 2
Q = 0
for group in communities:
subgraph = graph[np.ix_(group, group)]
lc = subgraph.sum() / 2
dc = subgraph.sum(axis=1)
ec = np.sum(graph[group], axis=0)
Q += lc / m - np.sum(dc * ec) / (2 * m ** 2)
return Q
```
2. Clauset-Newman-Moore 算法:
```python
def modularity(graph, communities):
m = graph.sum() / 2
Q = 0
for group in communities:
subgraph = graph[np.ix_(group, group)]
lc = subgraph.sum() / 2
dc = subgraph.sum(axis=1)
ec = np.sum(graph[group], axis=0)
Q += lc / m - np.sum(dc * ec) / (2 * m ** 2)
return Q
```
3. Blondel-Guillaume-Lambiotte-Lefebvre 算法:
```python
def modularity(graph, communities):
m = graph.sum() / 2
Q = 0
for group in communities:
subgraph = graph[np.ix_(group, group)]
lc = subgraph.sum() / 2
dc = subgraph.sum(axis=1)
ec = np.sum(graph[group], axis=0)
Q += lc / m - (np.sum(dc) / (2 * m)) ** 2 - (np.sum(ec) / (2 * m)) ** 2
return Q
```
这些算法的实现可能有所不同,但基本思想都是一致的。它们根据社区内节点的度数和边权重来计算模块度,从而评估社区的质量和紧密程度。