Show each step of performing Breadth-First Search (DFS) and Depth-First Search (DFS) on the graphs below. a) BFS W X u 8 b) DFS U 1/ W Z

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**Show each step of performing Breadth-First Search (BFS) and Depth-First Search (DFS) on the graphs below.**

**a) BFS**

- The graph is composed of vertices labeled \( r, s, t, u, v, w, x, y \).
- The starting vertex for BFS is \( s \) with a value of 0.
- All other vertices \( r, t, u, w, x, y, v \) initially have a value of \( \infty \).

**b) DFS**

- The graph consists of vertices labeled \( u, v, w, x, y, z \).
- The starting vertex for DFS is \( u \) with a value of 1.
- Directed edges connect the vertices as follows:
  - \( u \) to \( x \) and \( v \)
  - \( v \) to \( y \)
  - \( w \) to \( y \) and \( z \)
  - \( x \) to \( y \)

Each vertex has incoming and outgoing connections that determine the search order according to the DFS algorithm. Within the given graphs, nodes are processed and marked during traversal to discover reachable paths from the starting node \( s \) for BFS and \( u \) for DFS.
Transcribed Image Text:**Show each step of performing Breadth-First Search (BFS) and Depth-First Search (DFS) on the graphs below.** **a) BFS** - The graph is composed of vertices labeled \( r, s, t, u, v, w, x, y \). - The starting vertex for BFS is \( s \) with a value of 0. - All other vertices \( r, t, u, w, x, y, v \) initially have a value of \( \infty \). **b) DFS** - The graph consists of vertices labeled \( u, v, w, x, y, z \). - The starting vertex for DFS is \( u \) with a value of 1. - Directed edges connect the vertices as follows: - \( u \) to \( x \) and \( v \) - \( v \) to \( y \) - \( w \) to \( y \) and \( z \) - \( x \) to \( y \) Each vertex has incoming and outgoing connections that determine the search order according to the DFS algorithm. Within the given graphs, nodes are processed and marked during traversal to discover reachable paths from the starting node \( s \) for BFS and \( u \) for DFS.
Expert Solution
Step 1

In trees and graphs there are two types of searches, that are:

  • BFS (Breadth First Search)
  • DFS (Depth First Search)
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