is_aperiodic¶

is_aperiodic
(G)[source]¶ Return True if G is aperiodic.
A directed graph is aperiodic if there is no integer k > 1 that divides the length of every cycle in the graph.
Parameters: G (NetworkX DiGraph) – Graph Returns: aperiodic – True if the graph is aperiodic False otherwise Return type: boolean Raises: NetworkXError
– If G is not directedNotes
This uses the method outlined in [1], which runs in O(m) time given m edges in G. Note that a graph is not aperiodic if it is acyclic as every integer trivial divides length 0 cycles.
References
[1] Jarvis, J. P.; Shier, D. R. (1996), Graphtheoretic analysis of finite Markov chains, in Shier, D. R.; Wallenius, K. T., Applied Mathematical Modeling: A Multidisciplinary Approach, CRC Press.