Fred HR

OpenGL is a low-level, widely supported modeling and rendering software package, available across all platforms. It can be used in a range of graphics applications, such as games, CAD design, or modeling. OpenGL is the core graphics rendering option for many 3D games, such as Quake 3.

A standard BFS implementation puts each vertex of the graph into one of two categories:

The purpose of the algorithm is to mark each vertex as visited while avoiding cycles.

The algorithm works as follows:

The graph might have two different disconnected parts so to make sure that we cover every vertex, we can also run the BFS algorithm on every node

Let's see how the Breadth First Search algorithm works with an example. We use an undirected graph with 5 vertices.

We start from vertex 0, the BFS algorithm starts by putting it in the Visited list and putting all its adjacent vertices in the stack.

Next, we visit the element at the front of queue i.e. 1 and go to its adjacent nodes. Since 0 has already been visited, we visit 2 instead.

Vertex 2 has an unvisited adjacent vertex in 4, so we add that to the back of the queue and visit 3, which is at the front of the queue.

Only 4 remains in the queue since the only adjacent node of 3 i.e. 0 is already visited. We visit it.

Since the queue is empty, we have completed the Breadth First Traversal of the graph.

The code for the Breadth First Search Algorithm with an example is shown below. The code has been simplified so that we can focus on the algorithm rather than other details.

The time complexity of the BFS algorithm is represented in the form of O(V + E), where V is the number of nodes and E is the number of edges.

The space complexity of the algorithm is O(V).

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