删除节点子集之间的所有边

Remove all edges between a subset of nodes

我有一个图表 g 和图表中的节点列表 subset_nodes。我想删除节点 v_iv_j 之间的所有边,其中 v_iv_jsubset_nodes.

我目前正在使用以下方法:

import igraph

g = igraph.Graph.Full(10)
subset_nodes = [g.vs[i] for i in range(4)]

to_delete = set()
for node in subset_nodes:
    for v in node.neighbors():
        if v in subset_nodes:
            tp = (node.index, v.index) 
            to_delete.add( tuple(sorted(tp)) )

print(len(g.es))
g.delete_edges( to_delete )
print(len(g.es))

这会打印:

45
39

这是有道理的,因为

10 choose 2 = 45   # total # of edges (since it is a full graph)
4 choose 2 = 6     # # of removed edges
45 - 6 = 39        # # of edges remaining

我的问题是,是否有更好、更优雅或更 pythonic 的方式来做同样的事情?

Igraph 有 "induced_subgraph" 方法,可以方便地获得更简洁的解决方案:

import igraph as ig
g=ig.Graph.Full(10)
subset_nodes=[g.vs[i] for i in range(4)]
smallgraph=g.induced_subgraph(subset_nodes)
es=ig.EdgeSeq(smallgraph)
mytup=[e.tuple for e in es]
g.delete_edges(mytup)

另一种解决方案是:

from igraph import Graph
g = Graph.Full(10)
g.es.select(_within=range(4)).delete()