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

Space Complexity: Space complexity of DLS algorithm is O(bĂâ). 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?**