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https://github.com/rtsao/scc

Find strongly connected components of a directed graph using Tarjan's algorithm
https://github.com/rtsao/scc

cycle-detection strongly-connected-components tarjan topological-sort

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Find strongly connected components of a directed graph using Tarjan's algorithm

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# `@rtsao/scc`

Find strongly connected components of a directed graph using [Tarjan's algorithm](https://en.wikipedia.org/wiki/Tarjan%27s_strongly_connected_components_algorithm).

This algorithm efficiently yields both a topological order and list of any cycles.

## Installation

```
yarn add @rtsao/scc
```

```
npm install @rtsao/scc
```

## Usage

```js
const scc = require("@rtsao/scc");

const digraph = new Map([
["a", new Set(["c", "d"])],
["b", new Set(["a"])],
["c", new Set(["b"])],
["d", new Set(["e"])],
["e", new Set()]
]);

const components = scc(digraph);
// [ Set { 'e' }, Set { 'd' }, Set { 'b', 'c', 'a' } ]
```

#### Illustration of example input digraph
```
┌───┐ ┌───┐
│ d │ ◀── │ a │ ◀┐
└───┘ └───┘ │
│ │ │
▼ ▼ │
┌───┐ ┌───┐ │
│ e │ │ c │ │
└───┘ └───┘ │
│ │
▼ │
┌───┐ │
│ b │ ─┘
└───┘
```