# Graphology Generators

Various graph generators to be used with `graphology`.

## Installation

``````npm install graphology-generators
``````

## Usage

### Classic graphs

#### Complete

Creates a complete graph.

``````import Graph, {UndirectedGraph} from 'graphology';
import {complete} from 'graphology-generators/classic';
// Alternatively, if you only want to load relevant code
import complete from 'graphology-generators/classic/complete';

// Creating a complete graph
const graph = complete(Graph, 10);

// Using another constuctor to create, say, a complete undirected graph
const graph = complete(UndirectedGraph, 10);
``````

Arguments

• constructor Class: a `graphology` constructor.
• order number: number of nodes in the generated graph.

#### Empty

Creates an empty graph with the desired number of nodes and no edges.

``````import Graph, {UndirectedGraph} from 'graphology';
import {empty} from 'graphology-generators/classic';
// Alternatively, if you only want to load relevant code
import empty from 'graphology-generators/classic/empty';

// Creating an empty graph
const graph = empty(Graph, 10);

// Using another constuctor to create, say, an empty undirected graph
const graph = empty(UndirectedGraph, 10);
``````

Arguments

• constructor Class: a `graphology` constructor.
• order number: number of nodes in the generated graph.

Creates a ladder graph with the desired length. Note that the generated graph will logically have twice the number of nodes.

``````import Graph, {UndirectedGraph} from 'graphology';
import {ladder} from 'graphology-generators/classic';
// Alternatively, if you only want to load relevant code

// Creating a ladder graph
const graph = ladder(Graph, 10);

// Using another constuctor to create, say, a undirected ladder graph
const graph = ladder(UndirectedGraph, 10);
``````

Arguments

• constructor Class: a `graphology` constructor.
• length number: length of the ladder.

#### Path

Creates a path graph.

``````import Graph, {UndirectedGraph} from 'graphology';
import {path} from 'graphology-generators/classic';
// Alternatively, if you only want to load relevant code
import path from 'graphology-generators/classic/path';

// Creating a path graph
const graph = path(Graph, 10);

// Using another constuctor to create, say, a path undirected graph
const graph = path(UndirectedGraph, 10);
``````

Arguments

• constructor Class: a `graphology` constructor.
• order number: number of nodes in the generated graph.

### Community graphs

#### Caveman

Creates a Caveman graph containing `l` components of `k` nodes.

``````import Graph, {UndirectedGraph} from 'graphology';
import {caveman} from 'graphology-generators/community';
// Alternatively, if you only want to load relevant code
import caveman from 'graphology-generators/community/caveman';

// Creating a caveman graph
const graph = caveman(Graph, 6, 8);
``````

Arguments

• constructor Class: a `graphology` constructor.
• l number: number of components in the graph.
• k number: number of nodes of the components.

#### Connected Caveman

Creates a Connected Caveman graph containing `l` components of `k` nodes.

``````import Graph, {UndirectedGraph} from 'graphology';
import {connectedCaveman} from 'graphology-generators/community';
// Alternatively, if you only want to load relevant code
import connectedCaveman from 'graphology-generators/community/connected-caveman';

// Creating a connected caveman graph
const graph = connectedCaveman(Graph, 6, 8);
``````

Arguments

• constructor Class: a `graphology` constructor.
• l number: number of components in the graph.
• k number: number of nodes of the components.

### Random graphs

#### Clusters

Creates a graph with the desired number of nodes & edges and having a given number of clusters.

``````import Graph from 'graphology';
import {clusters} from 'graphology-generators/random';
// Alternatively, if you only want to load relevant code
import clusters from 'graphology-generators/random/clusters';

// Creating a random clustered graph
const graph = clusters(Graph, {
order: 100,
size: 1000,
clusters: 5
});
``````

Arguments

• constructor Class: a `graphology` constructor.
• options object: options:
• order number: number of nodes of the generated graph.
• size number: number of edges of the generated graph.
• clusters number: number of clusters of the generated graph.
• clusterDensity ?number 0.5: Probability that an edge will link two nodes of the same cluster.
• rng ?function: custom RNG function.

#### Erdos-Renyi

Creates an Erdos-Renyi, or binomial graph.

``````import Graph from 'graphology';
import {erdosRenyi} from 'graphology-generators/random';
// Alternatively, if you only want to load relevant code
import erdosRenyi from 'graphology-generators/random/erdos-renyi';

// Creating a binomial graph
const graph = erdosRenyi(Graph, {order: 10, probability: 0.5});

// If your graph is sparse (low probability), you can use the `sparse` version
// which runs in O(m + n) rather than O(n^2)
const graph = erdosRenyi.sparse(Graph, {order: 1000, probability: 0.1});
``````

Arguments

• constructor Class: a `graphology` constructor.
• options object: options:
• order number: number of nodes of the generated graph.
• probability number: probability for edge creation. (i.e. density you try to approximate in the generated graph).
• approximateSize: alternatively, you can pass an approximate number of edges you are trying to get in the generated graph.
• rng ?function: custom RNG function.

#### Girvan-Newman

Creates a Girvan-Newman random graph as described in:

Community Structure in social and biological networks. Girvan Newman, 2002. PNAS June, vol 99 n 12

``````import Graph from 'graphology';
import {girvanNewman} from 'graphology-generators/random';
// Alternatively, if you only want to load relevant code
import girvanNewman from 'graphology-generators/random/girvan-newman';

// Creating a binomial graph
const graph = girvanNewman(Graph, {zOut: 4});
``````

Arguments

• constructor Class: a `graphology` constructor.
• options object: options:
• zOut number: zout parameter.
• rng ?function: custom RNG function.

### Small graphs

#### Krackhardt kite

Returns the Krackhardt kite graph.

``````import Graph from 'graphology';
import {krackhardtKite} from 'graphology-generators/small';
// Alternatively, if you only want to load relevant code
import krackhardtKite from 'graphology-generators/small/krackhardt-kite';

// Creating a random clustered graph
const graph = krackhardtKite(Graph);
``````

Arguments

• constructor Class: a `graphology` constructor.

### Social graphs

#### Florentine Families

Returns the Florentine families’ graph.

``````import Graph from 'graphology';
import {florentineFamilies} from 'graphology-generators/florentine-families';
// Alternatively, if you only want to load relevant code
import florentineFamilies from 'graphology-generators/social/florentine-families';

// Generating the graph
const graph = florentineFamilies(Graph);
``````

Arguments

• constructor Class: a `graphology` constructor.

#### Karate Club

Returns Zachary’s karate club graph.

``````import Graph from 'graphology';
import {karateClub} from 'graphology-generators/karate-club';
// Alternatively, if you only want to load relevant code
import karateClub from 'graphology-generators/social/karate-club';

// Generating the graph
const graph = karateClub(Graph);
``````

Arguments

• constructor Class: a `graphology` constructor.