is_chordal¶

is_chordal
(G)[source]¶ Checks whether G is a chordal graph.
A graph is chordal if every cycle of length at least 4 has a chord (an edge joining two nodes not adjacent in the cycle).
Parameters: G (graph) – A NetworkX graph. Returns: chordal – True if G is a chordal graph and False otherwise. Return type: bool Raises: NetworkXError
– The algorithm does not support DiGraph, MultiGraph and MultiDiGraph. If the input graph is an instance of one of these classes, a NetworkXError is raised.Examples
>>> import networkx as nx >>> e=[(1,2),(1,3),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)] >>> G=nx.Graph(e) >>> nx.is_chordal(G) True
Notes
The routine tries to go through every node following maximum cardinality search. It returns False when it finds that the separator for any node is not a clique. Based on the algorithms in [1].
References
[1] R. E. Tarjan and M. Yannakakis, Simple lineartime algorithms to test chordality of graphs, test acyclicity of hypergraphs, and selectively reduce acyclic hypergraphs, SIAM J. Comput., 13 (1984), pp. 566–579.