Connected component

​
​

活动地址：优快云21天学习挑战赛

Undirected Graph

An Undirected graph is connected if, for every pair nodes, there is a path between them.

nx.is_connected(G)

Graph Components

——对无向图而言

Connected component(连通分量)：

• A subset of nodes such as:

  • Every node in the subset has a path to every other node.
  • No other node has a path to any node in the subset.

  print(nx.number_connected_components(G))
  
  print(sorted(nx.connected_components(G)))
  
  print(nx.node_connected_component(G,'M'))
  #规定某个特定节点所在的连通分量
  

Directed Graphs

Strongly connected(强连通):

• for every pair nodes u and v, there is a directed path from u to v and a directed path from v to u

  双向可达——强连通

  nx.is_strongly_connected(G)
  

Weakly connected(弱连通)

• replacing all directed edges with undirected edges produces a connected undirected graph.

  将所有有向边替换成无向边后，形成连通图——弱连通

  nx.is_weakly_connected(G)
  

Graph Components

Strongly connected component(强连通分量)：

• A subset of nodes such as:

  • Every node in the sunset has a directed path to every other node.
  • No other node has a directed path to and from every node in the subset.

  sorted(nx.strongly_connected_components(G))
  

Weakly connected component

• 替换成无向图后，按照无向图的标准寻找连通分量

  sorted(nx.weakly_connected_components(G))