maximal_independent_set#
- maximal_independent_set(G, nodes=None, seed=None)[source]#
Returns a random maximal independent set guaranteed to contain a given set of nodes.
An independent set is a set of nodes such that the subgraph of G induced by these nodes contains no edges. A maximal independent set is an independent set such that it is not possible to add a new node and still get an independent set.
- Parameters:
- GNetworkX graph
- nodeslist or iterable
Nodes that must be part of the independent set. This set of nodes must be independent.
- seedinteger, random_state, or None (default)
Indicator of random number generation state. See Randomness.
- Returns:
- indep_nodeslist
List of nodes that are part of a maximal independent set.
- Raises:
- NetworkXUnfeasible
If the nodes in the provided list are not part of the graph or do not form an independent set, an exception is raised.
- NetworkXNotImplemented
If
G
is directed.
Notes
This algorithm does not solve the maximum independent set problem.
Examples
>>> G = nx.path_graph(5) >>> nx.maximal_independent_set(G) [4, 0, 2] >>> nx.maximal_independent_set(G, [1]) [1, 3]