is_kl_connected¶

is_kl_connected(G, k, l, low_memory=False)[source]¶

Returns True if and only if G is locally (k, l)-connected.

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

GNetworkX graph: The graph to test for local (k, l)-connectedness.
kinteger: The maximum length of paths to consider. A higher number means a looser connectivity requirement.
linteger: The number of edge-disjoint paths. A higher number means a stricter connectivity requirement.
low_memorybool: If this is True, this function uses an algorithm that uses slightly more time but less memory.

Returns

bool: Whether the graph is locally (k, l)-connected subgraph.