Question

Computer Science

Posted 6 months ago

```
First draw the graph with the following nodes, then apply the determined path search
algorithms on the graph and write the path found. (show steps)
Starting Node: A, Target Node: R
nodes
Algorithms
A: BCD
a) Breadth-first search
B: E F
C: G
b) Depth-first search
D: H
c) Iterative deepening search L=4
E: I
F: J K
G: L
H: M N
K: o P
L: R
N: S
O: -
P: -
R: -
S: -
I:
J: -
M: -
```

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Answer from Sia

Posted 6 months ago

python

Explanation

The code defines functions to create a graph and perform Breadth-first search, Depth-first search, and Iterative deepening search. It also includes a main function to test these algorithms with assertions.

Step-by-step Instruction

▪

Choose to represent the graph as an adjacency list because it is efficient for representing sparse graphs

▪

Define concrete use cases and testing cases for the functions: when calling bfs(), dfs(), and ids() with the start node 'A' and the goal node 'R', they should return the correct paths

Time Complexity

BFS is O(V+E), DFS is O(V+E), and IDS is O(b^d) where V is the number of vertices, E is the number of edges, b is the branching factor, and d is the depth limit.

Space Complexity

BFS is O(V) as it stores all vertices in the queue, DFS can go up to O(V) in space due to the recursion stack, and IDS has the same space complexity as DFS for each depth level.

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