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[Algorithm] Write a Depth First Search Algorithm for Graphs in JavaScript

Depth first search is a graph search algorithm that starts at one node and uses recursion to travel as deeply down a path of neighboring nodes as possible, before coming back up and trying other paths.

 
const {createQueue} = require('./queue');

function createNode(key) {
    let children 
= []; return { key, children, addChild(child) { children.push(child) } } } function createGraph(directed = false) { const nodes = []; const edges = []; return { nodes, edges, directed, addNode(key) { nodes.push(createNode(key)) }, getNode (key) {
return nodes.find(n => n.key === key) }, addEdge (node1Key, node2Key) { const node1 = this.getNode(node1Key); const node2 = this.getNode(node2Key); node1.addChild(node2); if (!directed) { node2.addChild(node1); } edges.push(`${node1Key}${node2Key}`) }, print() {
return nodes.map(({children, key}) => { let result = `${key}`; if (children.length) { result += ` => ${children.map(n => n.key).join(' ')}` } return result; }).join('\n') }, /** * Breadth First Search */ bfs (startNodeKey = "", visitFn = () => {}) { /** * Keytake away: * 1. Using Queue to get next visit node * 2. Enqueue the node's children for next run * 3. Hashed visited map for keep tracking visited node */ const startNode = this.getNode(startNodeKey); // create a hashed map to check whether one node has been visited const visited = this.nodes.reduce((acc, curr) => { acc[curr.key] = false; return acc; }, {}); // Create a queue to put all the nodes to be visited const queue = createQueue(); queue.enqueue(startNode); // start process while (!queue.isEmpty()) { const current = queue.dequeue(); // check wheather the node exists in hashed map if (!visited[current.key]) { visitFn(current); visited[current.key] = true; // process the node's children current.children.map(n => { if (!visited[n.key]) { queue.enqueue(n); } }); } } }, /** * Depth First Search */ dfs (startNodeKey = "", visitFn = () => {}) { // get starting node const startNode = this.getNode(startNodeKey); // create hashed map const visited = this.nodes.reduce((acc, curr) => { acc[curr] = false; return acc; }, {}); function explore(node) { // if already visited node, return if (visited[node.key]) { return; } // otherwise call the callback function visitFn(node); // Set nodekey to be visited visited[node.key] = true; // Continue to explore its children node.children.forEach(n => { explore(n); }); } // start exploring explore(startNode); } } } const graph = createGraph(true) graph.addNode('Kyle') graph.addNode('Anna') graph.addNode('Krios') graph.addNode('Tali') graph.addEdge('Kyle', 'Anna') graph.addEdge('Anna', 'Kyle') graph.addEdge('Kyle', 'Krios') graph.addEdge('Kyle', 'Tali') graph.addEdge('Anna', 'Krios') graph.addEdge('Anna', 'Tali') graph.addEdge('Krios', 'Anna') graph.addEdge('Tali', 'Kyle') console.log(graph.print()) const nodes = ['a', 'b', 'c', 'd', 'e', 'f'] const edges = [ ['a', 'b'], ['a', 'e'], ['a', 'f'], ['b', 'd'], ['b', 'e'], ['c', 'b'], ['d', 'c'], ['d', 'e'] ] const graph2 = createGraph(true) nodes.forEach(node => { graph2.addNode(node) }) edges.forEach(nodes => { graph2.addEdge(...nodes) }) console.log('***Breadth first graph***') graph2.bfs('a', node => { console.log(node.key) }) console.log('***Depth first graph***') graph2.dfs('a', node => { console.log(node.key) })