kl_connected_subgraph

kl_connected_subgraph(G, k, l, low_memory=False, same_as_graph=False)[source]

Returns the maximum locally (k, l)-connected subgraph of G.

A graph is locally (k, l)-connected if for each edge (u, v) in the graph there are at least l edge-disjoint paths of length at most k joining u to v.

Parameters:
  • G (NetworkX graph) – The graph in which to find a maximum locally (k, l)-connected subgraph.
  • k (integer) – The maximum length of paths to consider. A higher number means a looser connectivity requirement.
  • l (integer) – The number of edge-disjoint paths. A higher number means a stricter connectivity requirement.
  • low_memory (bool) – If this is True, this function uses an algorithm that uses slightly more time but less memory.
  • same_as_graph (bool) – If this is True then return a tuple of the form (H, is_same), where H is the maximum locally (k, l)-connected subgraph and is_same is a Boolean representing whether G is locally (k,
l)-connected (and hence, whether H is simply a copy of the input graph G).
Returns:

If same_as_graph is True, then this function returns a two-tuple as described above. Otherwise, it returns only the maximum locally (k, l)-connected subgraph.

Return type:

NetworkX graph or two-tuple

References