# What is the space complexity of depth first and breadth first search?

## What is the space complexity of depth first and breadth first search?

The space complexity for BFS is O(w) where w is the maximum width of the tree. For DFS, which goes along a single ‘branch’ all the way down and uses a stack implementation, the height of the tree matters. The space complexity for DFS is O(h) where h is the maximum height of the tree.

## What is BFS and DFS in AI?

BFS is a traversal technique in which all the nodes of the same level are explored first, and then we move to the next level. DFS is also a traversal technique in which traversal is started from the root node and explore the nodes as far as possible until we reach the node that has no unvisited adjacent nodes.

What is the complexity of depth first?

Complexity Of Depth-First Search Algorithm If the entire graph is traversed, the temporal complexity of DFS is O(V), where V is the number of vertices. If the graph data structure is represented as an adjacency list, the following rules apply: Each vertex keeps track of all of its neighboring edges.

Breadth-first search (BFS) is an algorithm for searching a tree data structure for a node that satisfies a given property. It starts at the tree root and explores all nodes at the present depth prior to moving on to the nodes at the next depth level.

### Why is BFS better than DFS?

BFS can be used to find the shortest path, with unit weight edges, from a node (origional source) to another. Whereas, DFS can be used to exhaust all the choices because of its nature of going in depth, like discovering the longest path between two nodes in an acyclic graph.

### What is breadth first algorithm?

What is a breadth first algorithm?

What is the complexity of breadth first search?

The Time complexity of BFS is O(V + E) when Adjacency List is used and O(V^2) when Adjacency Matrix is used, where V stands for vertices and E stands for edges.

## What is the space complexity of BFS?

O(|V|) = O(b^d)Breadth-first search / Space complexity

## What is depth first search in data structure?

Depth-first search (DFS) is an algorithm for traversing or searching tree or graph data structures. The algorithm starts at the root node (selecting some arbitrary node as the root node in the case of a graph) and explores as far as possible along each branch before backtracking.

Why BFS takes more memory than DFS?

The DFS needs less memory as it only has to keep track of the nodes in a chain from the top to the bottom, while the BFS has to keep track of all the nodes on the same level. For example, in a (balanced) tree with 1023 nodes the DFS has to keep track of 10 nodes, while the BFS has to keep track of 512 nodes.

Why is BFS used?

Using GPS navigation system BFS is used to find neighboring places. In networking, when we want to broadcast some packets, we use the BFS algorithm. Path finding algorithm is based on BFS or DFS. BFS is used in Ford-Fulkerson algorithm to find maximum flow in a network.

### What are the advantages of breadth-first search BFS over depth-first search DFS?

Breadth-first search is often compared with depth-first search. Advantages: A BFS will find the shortest path between the starting point and any other reachable node. A depth-first search will not necessarily find the shortest path.

### What is BFS time complexity?

What makes the depth first search better than the breadth first search in this problem?

So if the problem involves finding the nearest neighbour or the shortest path, BFS performs better — as in the case of DFS, leaf nodes are visited first. But in the case of solving a puzzle or topological sorting (i.e., cases where the result needs to be evaluated on reaching leaf nodes), DFS performs better.