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Problem 1170. Count the Number of Undirected Cycles in a Graph

Created by Joseph Kirk

Given a symmetric adjacency matrix, determine the number of unique undirected cycles.

For example, the graph represented by adjacency matrix

A = [
  0 1 1 0 1
  1 0 1 1 0
  1 1 0 1 1
  0 1 1 0 0
  1 0 1 0 0];

has 6 cycles. They are:

[1 -> 2 -> 3 -> 1]
[1 -> 3 -> 5 -> 1]
[2 -> 3 -> 4 -> 2]
[1 -> 2 -> 4 -> 3 -> 1]
[1 -> 2 -> 3 -> 5 -> 1]
[1 -> 2 -> 4 -> 3 -> 5 -> 1]

The input is an adjacency matrix of 0s and 1s, and the output should be the number of unique (simple) undirected cycles in the graph.

Problem Group

Solution Statistics

3 correct solutions 1 incorrect solutions
Last solution submitted on Jul 14, 2014

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