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Graphology Shortest Path

Shortest path functions for graphology.

Installation

npm install graphology-shortest-path

Usage

Unweighted

shortestPath

Returns the shortest path in the graph between source & target or null if such a path does not exist (same as bidirectional).

If you only pass the source & omit the target, will return a map of every shortest path between the source & all the nodes of the graph (same as singleSource).

import shortestPath from 'graphology-shortest-path';
// Alternatively, if you want to load only the relevant code
import shortestPath from 'graphology-shortest-path/unweighted';

// Returning the shortest path between source & target
const path = shortestPath(graph, source, target);

// Returning every shortest path between source & every node of the graph
const paths = shortestPath(graph, source);

Arguments

  • graph Graph: a graphology instance.
  • source any: source node.
  • target ?any: optionally, target node.

bidirectional

Returns the shortest path in the graph between source & target or null if such a path does not exist.

import {bidirectional} from 'graphology-shortest-path';
// Alternatively, if you want to load only the relevant code
import {bidirectional} from 'graphology-shortest-path/unweighted';

// Returning the shortest path between source & target
const path = bidirectional(graph, source, target);

Arguments

  • graph Graph: a graphology instance.
  • source any: source node.
  • target any: target node.

singleSource

Return a map of every shortest path between the given source & all the nodes of the graph.

import {singleSource} from 'graphology-shortest-path';
// Alternatively, if you want to load only the relevant code
import {singleSource} from 'graphology-shortest-path/unweighted';

// Returning every shortest path between source & every node of the graph
const paths = singleSource(graph, source);

Arguments

  • graph Graph: a graphology instance.
  • source any: source node.

singleSourceLength

Return a map of every shortest path length between the given source & all the nodes of the graph.

import {singleSourceLength} from 'graphology-shortest-path';
// Alternatively, if you want to load only the relevant code
import {singleSourceLength} from 'graphology-shortest-path/unweighted';

// Returning every shortest path between source & every node of the graph
const paths = singleSourceLength(graph, source);

Arguments

  • graph Graph: a graphology instance.
  • source any: source node.

undirectedSingleSourceLength

Return a map of every shortest path length between the given source & all the nodes of the graph. This is basically the same as singleSourceLength except that it will consider any given graph as undirected when traversing.

import {undirectedSingleSourceLength} from 'graphology-shortest-path';
// Alternatively, if you want to load only the relevant code
import {undirectedSingleSourceLength} from 'graphology-shortest-path/unweighted';

// Returning every shortest path between source & every node of the graph
const paths = undirectedSingleSourceLength(graph, source);

Arguments

  • graph Graph: a graphology instance.
  • source any: source node.

brandes

Apply Ulrik Brandes’ method to collect single source shortest paths from the given node. This is mostly used to compute betweenness centrality.

import {brandes} from 'graphology-shortest-path';
// Alternatively, if you want to load only the relevant code
import {brandes} from 'graphology-shortest-path/unweighted';

// Returning S, P & sigma
const [S, P, sigma] = brandes(graph, source);

Arguments

  • graph Graph: a graphology instance.
  • source any: source node.

Dijkstra

bidirectional

Returns the shortest path in the weighted graph between source & target or null if such a path does not exist.

import {dijkstra} from 'graphology-shortest-path';
// Alternatively, if you want to load only the relevant code
import dijkstra from 'graphology-shortest-path/dijkstra';

// Returning the shortest path between source & target
const path = dijkstra.bidirectional(graph, source, target);

// If you store edges' weight in custom attribute
const paths = dijkstra.bidirectional(graph, source, target, 'customWeight');

Arguments

  • graph Graph: a graphology instance.
  • source any: source node.
  • target any: target node.
  • weightAttribute ?string weight: name of the weight attribute.

singleSource

Return a map of every shortest path between the given source & all the nodes of the weighted graph.

import {dijkstra} from 'graphology-shortest-path';
// Alternatively, if you want to load only the relevant code
import dijkstra from 'graphology-shortest-path/dijkstra';

// Returning every shortest path between source & every node of the graph
const paths = dijkstra.singleSource(graph, source);

// If you store edges' weight in custom attribute
const paths = dijkstra.singleSource(graph, source, 'customWeight');

Arguments

  • graph Graph: a graphology instance.
  • source any: source node.
  • weightAttribute ?string weight: name of the weight attribute.

brandes

Apply Ulrik Brandes’ method to collect single source shortest paths from the given node. This is mostly used to compute betweenness centrality.

import {dijkstra} from 'graphology-shortest-path';
// Alternatively, if you want to load only the relevant code
import dijkstra from 'graphology-shortest-path/dijkstra';

// Returning S, P & sigma
const [S, P, sigma] = dijkstra.brandes(graph, source);

// If you store edges' weight in custom attribute
const [S, P, sigma] = dijkstra.brandes(graph, source, 'customWeight');

Arguments

  • graph Graph: a graphology instance.
  • source any: source node.
  • weightAttribute ?string weight: name of the weight attribute.