# What is the space complexity of depth limited search?

## What is the space complexity of depth limited search?

Space Complexity: Space complexity of DLS algorithm is O(bĂâ). Optimal: Depth-limited search can be viewed as a special case of DFS, and it is also not optimal even if â>d.

Why space complexity of DFS is O BM?

According to these notes, DFS is considered to have O(bm) space complexity, where b is the branching factor of the tree and m is the maximum length of any path in the state space. The same is said in this Wikibook page on Uninformed Search.

### Which takes less space BFS or 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 does BFS take more space than DFS?

For implementation, BFS uses a queue data structure, while DFS uses a stack. BFS uses a larger amount of memory because it expands all children of a vertex and keeps them in memory. It stores the pointers to a level’s child nodes while searching each level to remember where it should go when it reaches a leaf node.

#### What is the space complexity of depth-first search a O b/b O bl c/o m/d O BM?

6. What is the space complexity of Depth-first search? Explanation: O(bm) is the space complexity where b is the branching factor and m is the maximum depth of the search tree.

What is the difference between DFS and DLS?

The depth-limited search (DLS) method is almost equal to depth-first search (DFS), but DLS can work on the infinite state space problem because it bounds the depth of the search tree with a predetermined limit L. Nodes at this depth limit are treated as if they had no successors.

## Which time and space complexity is BFS?

BFS: Time complexity is O(|V|) , where |V| is the number of nodes. You need to traverse all nodes. Space complexity is O(|V|) as well – since at worst case you need to hold all vertices in the queue.

What is the space complexity of depth first search a O b/b O bl c/o m/d O BM?

### Is DFS more space efficient?

In an algorithms course I’m taking, it’s said that depth-first search (DFS) is far more space efficient than breadth-first search (BFS). Why is that? Although they are basically doing the same thing, in DFS we’re stacking the current node’s successors while in BFS we’re enqueueing the successors.

Which algorithm is having the space complexity O BD?

The space complexity is O(bd) as in DLS with l = d, which is better than BFS. The time complexity is O(bd) as in BFS, which is better than DFS.

#### What is the space complexity of best first search where b is the branching factor and n is maximum depth of the tree?

Explanation: In binary tree branching factor is 2 and space complexity for height n is O(2n). In ternary tree branching factor is 3 and space complexity for height n is O(3n). If branching factor is b and height is m for search tree then space complexity of greedy search is O(bm).

Why is DFS more space efficient than BFS?