JavaScript/Maths/Graph.js

// create a graph class
class Graph {
  // defining vertex array and
  // adjacent list
  constructor (noOfVertices) {
    this.noOfVertices = noOfVertices
    this.AdjList = new Map()
  }

  // functions to be implemented

  // addVertex(v)
  // addEdge(v, w)
  // printGraph()

  // bfs(v)
  // dfs(v)

  // add vertex to the graph
  addVertex (v) {
    // initialize the adjacent list with a
    // null array

    this.AdjList.set(v, [])
  }

  // add edge to the graph
  addEdge (v, w) {
    // get the list for vertex v and put the
    // vertex w denoting edge between v and w
    this.AdjList.get(v).push(w)

    // Since graph is undirected,
    // add an edge from w to v also
    this.AdjList.get(w).push(v)
  }

  // Prints the vertex and adjacency list
  printGraph () {
    // get all the vertices
    const getKeys = this.AdjList.keys()

    // iterate over the vertices
    for (const i of getKeys) {
      // great the corresponding adjacency list
      // for the vertex
      const getValues = this.AdjList.get(i)
      let conc = ''

      // iterate over the adjacency list
      // concatenate the values into a string
      for (const j of getValues) {
        conc += j + ' '
      }

      // print the vertex and its adjacency list
      console.log(i + ' -> ' + conc)
    }
  }
}
// Example
const graph = new Graph(6)
const vertices = ['A', 'B', 'C', 'D', 'E', 'F']

// adding vertices
for (let i = 0; i < vertices.length; i++) {
  graph.addVertex(vertices[i])
}

// adding edges
graph.addEdge('A', 'B')
graph.addEdge('A', 'D')
graph.addEdge('A', 'E')
graph.addEdge('B', 'C')
graph.addEdge('D', 'E')
graph.addEdge('E', 'F')
graph.addEdge('E', 'C')
graph.addEdge('C', 'F')

// prints all vertex and
// its adjacency list
// A -> B D E
// B -> A C
// C -> B E F
// D -> A E
// E -> A D F C
// F -> E C
graph.printGraph()