cdlib.evaluation.modularity_overlap¶
- cdlib.evaluation.modularity_overlap(graph: Graph, communities: object, weight: str | None = None) FitnessResult¶
确定图G上分区C的重叠模块性。
重叠模块性定义为
\[M_{c_{r}}^{ov} = \sum_{i \in c_{r}} \frac{\sum_{j \in c_{r}, i \neq j}a_{ij} - \sum_{j \not \in c_{r}}a_{ij}}{d_{i} \cdot s_{i}} \cdot \frac{n_{c_{r}}^{e}}{n_{c_{r}} \cdot \binom{n_{c_{r}}}{2}}\]- Parameters:
graph – 一个 networkx/igraph 对象
communities – NodeClustering 对象
weight – 标识边权重参数名称的标签(如果存在),默认为 None
- Returns:
FitnessResult 对象
示例:
>>> from cdlib.algorithms import louvain >>> from cdlib import evaluation >>> g = nx.karate_club_graph() >>> communities = louvain(g) >>> mod = evaluation.modularity_overlap(g, communities)
- References:
Lazar, D. Abel 和 T. Vicsek, “具有重叠社区网络的模块化度量” EPL, 90 (2010) 18001 doi: 10.1209/0295-5075/90/18001