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 leastl
edge-disjoint paths of length at mostk
joiningu
tov
.- 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.
See also
References
[1]Chung, Fan and Linyuan Lu. “The Small World Phenomenon in Hybrid Power Law Graphs.” Complex Networks. Springer Berlin Heidelberg, 2004. 89–104.