BFS Beyond Basics: Exploring Advanced Java for Real-World Applications”.pptx

BFS SOrting

1. Breadth-First Search (BFS) Graph Traversal Algorithm

2. Introduction - BFS is a graph traversal algorithm.
- Explores all vertices at the present depth level before moving on.
- Uses a queue data structure to keep track of vertices to visit.

3. Example-1: A BFS Traversal Graph:
A - B - C
| | |
D - E - F

Traversal Order:
A → B → D → C → E → F
- Explores neighbors before going deeper.
- Ensures shortest path in unweighted graph.

4. Example-2: Non-BFS Traversal Graph:
A - B - C
| | |
D - E - F

Wrong Order:
A → D → E → B → C → F
- Jumps depth levels.
- Does not follow BFS rules.

5. Time Complexity O(V + E)
Where V = number of vertices
E = number of edges

6. Applications - Shortest path in unweighted graphs
- Web crawling
- Social network analysis
- Broadcasting in networks