Returns True if
A directed graph is aperiodic if there is no integer k > 1 that divides the length of every cycle in the graph.
G (NetworkX DiGraph) – A directed graph
True if the graph is aperiodic False otherwise
- Return type
NetworkXError – If
Gis not directed
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.
Jarvis, J. P.; Shier, D. R. (1996), “Graph-theoretic analysis of finite Markov chains,” in Shier, D. R.; Wallenius, K. T., Applied Mathematical Modeling: A Multidisciplinary Approach, CRC Press.