Given an asymmetric adjacency matrix, determine the number of unique directed cycles.
For example, the graph represented by adjacency matrix
A = [
0 1 1 0;
1 1 0 1;
1 0 0 1;
1 1 0 0];
has 7 cycles. They are:
[2 -> 2]
[1 -> 2 -> 1]
[1 -> 3 -> 1]
[2 -> 4 -> 2]
[1 -> 2 -> 4 -> 1]
[1 -> 3 -> 4 -> 1]
[1 -> 3 -> 4 -> 2 -> 1]
The input is an adjacency matrix of 0s and 1s, and the output should be the number of unique (simple) directed cycles in the graph.
Solve

Solution Stats

74 Solutions

24 Solvers

Last Solution submitted on Mar 09, 2026

Last 200 Solutions

Problem Comments

Solution Comments

Show comments

Problem Recent Solvers24

Pauli Huusari Matthew Bolyard 夕 Lorenzo

Suggested Problems

More from this Author3

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!