Sunday, February 19th 2023

`// Implementation of a graph as an adjacency list const graph = { A: ["B", "C"], B: ["A", "D", "E"], C: ["A", "F"], D: ["B"], E: ["B", "F"], F: ["C", "E"], }; // Implementation of Breadth-First Search function bfs(graph, start) { const visited = {}; const queue = [start]; while (queue.length) { const node = queue.shift(); if (!visited[node]) { visited[node] = true; console.log(node); graph[node].forEach((neighbor) => { if (!visited[neighbor]) { queue.push(neighbor); } }); } } } // Example usage bfs(graph, "A");`

In this implementation, `graph`

is represented as an adjacency list where the keys are the nodes and the values are arrays of neighboring nodes. The `bfs(graph, start)`

function performs a BFS traversal of the graph starting at the `start`

node. The `visited`

object keeps track of the nodes that have been visited, and the `queue`

array keeps track of the nodes that are currently being explored.

The `bfs(graph, start)`

function starts by adding the `start`

node to the `queue`

array. Then, while the `queue`

array is not empty, it dequeues the first node in the `queue`

array and checks if it has already been visited. If the node has not been visited, it marks it as visited, logs it to the console, and adds its neighbors to the `queue`

array if they have not been visited already.

In the example usage, `bfs(graph, "A")`

performs a BFS traversal of the `graph`

starting at the node `"A"`

. The output of this function would be:

`A B C D E F`

`+--- B -----+ / \ A E \ / +--- C --- F--+ \ D`