Graphs

This library contain an implementation of graph data structure with various method that can be useful in operations by graphs.

Graphs can directed and undirected, weighted and unweighted. So we have 4 variations and this library can works with them.

Install

npm install graphs-all

Getting Started

Import the library

var graphs = require("graphs-all");
var g = graphs.UndirectedUnweightedGraph();
g.addNode("A");
g.addLink("A", "B");
g.addLink("A", "C");
g.addLink("B", "C");
g.hasNode("C") // true 
g.hasLink("B", "A") // true 
g.removeLink("C", "A");
g.connectedWith("B") // ["A", "B"] 

Create a graph

You can create four variations of graphs with shortcuts functions:

var simpleGraph = graphs.UndirectedUnweightedGraph(), 
    directedGraph = graphs.DirectedUnweightedGraph(),
    weightedGraph = graph.UndirectedWeightedGraph(),
    complexGraph = graph.DirectedWeightedGraph();

Or with Graph class:

new Graph(isDirected, isWeighted)

var simpleGraph = new graphs.Graph(false, false), 
    directedGraph = new graphs.Graph(true, false),
    weightedGraph = new graphs.Graph(false, true),
    complexGraph = new graphs.Graph(true, true);

Add nodes

Graph.addNode(nodeKey)

Add a node in the graph with key nodeKey. If node is exist already, then return false, for successive addition returns true.

simpleGraph.addNode("A")
simpleGraph.hasNode("B") // true 
simpleGraph.hasNode("A") // false 

Check nodes

Graph.hasNode(nodeKey)

Check is a node with key nodekey in the graph

simpleGraph.hasNode("A") // true 
simpleGraph.hasNode("E") // false 

Add links

Graph.addLink(key1, key2)

Graph.addLink(key1, key2, weight)

Add a link between key1 and key2 nodes. If nodes are not existed, then they are created. For directed graphs, it's created a directed link from key1 to key2. For weighted graphs you can add the third argument weight (default == 1). weight must be a number.

simpleGraph.addLink("A", "E");
simpleGraph.hasNode("E"); // true 
weightedGraph.addLink("E", "C", 5);

Check links

Graph.hasLink(key1, key2)

Graph.linkWeight(key1, key2)

Check the existence of the link between key1 and key2 nodes (the order is important only for directed graphs). It returns true if the link is exist, false otherwise.

Also you can use linkWeight - it has the same interface and returns undefined if the link doesn't exist, otherwise the weight of the link (1 for unweighted graphs).

simpleGraph.addLink("A", "E");
simpleGraph.hasLink("E", "A"); // true 
weightedGraph.addLink("E", "C", 5);
weightedGraph.linkWeight("E", "C"); // 5 
simpleGraph.linkWeight("Z", "A"); // undefined 

Get node list

Graph.nodes()

Returns an array on node keys.

simpleGraph.addLink(1, 2);
simpleGraph.addLink(3, 4);
simpleGraph.nodes(); // [1, 2, 3, 4] 

Get node connections

Graph.connectedWith(key)

Returns an array of keys of nodes, which are connected with the given node. For directed graphs return only nodes that are available from from the given node.

simpleGraph.addLink("A", "D");
simpleGraph.addLink("A", "E");
simpleGraph.addLink("C", "A");
simpleGraph.nodeConnections("A"); // ["E", D", "C"] 
 
directedGraph.addLink("A", "B");
directedGraph.addLink("C", "A");
directedGraph.nodeConnections("A"); // ["B"] 

Remove Nodes

Graph.removeNode(key)

Removes the node from the graph, also remove all connected links (input and output).

directedGraph.addLink("1", "2");
directedGraph.addLink("3", "1");
directedGraph.addLink("1", "4");
directedGraph.removeNode("1");
directedGraph.hasNode("1"); // false 
directedGraph.hasLink("1", "2"); // false 
directedGraph.hasLink("3", "1"); // false 

Remove Links

Graph.removeLink(key1, key2)

Removes the link from the graph. The nodes are not removed, only the link. For directed graphs remove only one-way link from key1 to key2.

simpleGraph.addLink("5", "6");
simpleGraph.removeLink("6", "5");
simpleGraph.hasLink("5", "6"); // false 
simpleGraph.hasNode("5"); // true