## Performing Breadth First Search recursively

(I’m assuming that this is just some kind of thought exercise, or even a trick homework/interview question, but I suppose I could imagine some bizarre scenario where you’re not allowed any heap space for some reason [some really bad custom memory manager? some bizarre runtime/OS issues?] while you still have access to the stack…) Breadth-first …

## How does a Breadth-First Search work when looking for Shortest Path?

Technically, Breadth-first search (BFS) by itself does not let you find the shortest path, simply because BFS is not looking for a shortest path: BFS describes a strategy for searching a graph, but it does not say that you must search for anything in particular. Dijkstra’s algorithm adapts BFS to let you find single-source shortest paths. …

## Breadth First Search time complexity analysis

I hope this is helpful to anybody having trouble understanding computational time complexity for Breadth First Search a.k.a BFS. Time complexity is as follows: I have tried to simplify the code and complexity computation but still if you have any questions let me know.

## Explanation of runtimes of BFS and DFS

Why are the running times of BFS and DFS O(V+E), especially when there is a node that has a directed edge to a node that can be reached from the vertex, like in this example in the following site http://www.personal.kent.edu/~rmuhamma/Algorithms/MyAlgorithms/GraphAlgor/depthSearch.htm

## Why is the time complexity of both DFS and BFS O( V + E )

Your sum can be rewritten as and the first group is O(N) while the other is O(E).

## When is it practical to use Depth-First Search (DFS) vs Breadth-First Search (BFS)? [closed]

That heavily depends on the structure of the search tree and the number and location of solutions (aka searched-for items). If you know a solution is not far from the root of the tree, a breadth first search (BFS) might be better. If the tree is very deep and solutions are rare, depth first search …