find and identify a cycle in a directed graph
npm install find-cycle



Searches for a cycle in a directed graph, and tells you the nodes in the
first cycle it finds. Should work on your existing data structures
without conversion, because it operates on Iterables and agetConnectedNodes adapter function that you provide.
The implementation is a depth-first search using a stack instead of
recursion, so it's not limited by the maximum call stack size.
Your environment must support Set, Map, and Symbol.iterator
natively or via a polyfill.
Node: 4+
``sh`
npm install --save find-cycle
`js`
const findDirectedCycle = require('find-cycle/directed')
#### startNodes: Iterable
The nodes to start the search from. Your nodes may be of any primitive
or object type besides null or undefined.
#### getConnectedNodes: (node: Node) => ?(Iterator
Given a node in your directed graph, return the nodes connected to it as
an Iterator or Iterable. You may return null or undefined if
there are no connected nodes.
An array of nodes in the first cycle found, if any, including each node
in the cycle only once.
`js
const findCycle = require('find-cycle/directed')
const edges = {
1: [2],
2: [3],
3: [4],
4: [2, 5],
5: [3],
7: [8, 9],
8: [1],
9: [10, 11],
10: [11],
11: [9, 8],
}
const startNodes = [1]
const getConnectedNodes = (node) => edges[node]
expect(findCycle(startNodes, getConnectedNodes)).to.deep.equal([2, 3, 4])
`
`js
const findCycle = require('find-cycle/directed'
const edges = new Map([
[1, new Set([2])],
[2, new Set([3])],
[3, new Set([4])],
[4, new Set([2, 5])],
[5, new Set([3])],
[7, new Set([8, 9])],
[8, new Set([1])],
[9, new Set([10, 11])],
[10, new Set([11])],
[11, new Set([9, 8])],
])
const startNodes = new Set([1])
const getConnectedNodes = node => edges.get(node)
expect(findCycle(startNodes, getConnectedNodes)).to.deep.equal([2, 3, 4])
``