Скачать или смотреть DFS (Depth First Search) | Graph Algorithms | 11th Computer Ch 3 - Lec 16

Depth‑First Search (DFS) Simplified | 11th Grade | Algorithms and Problem Solving

Dive into the world of graph traversal with Depth‑First Search (DFS)—a key algorithm from your 11th-grade chapter 3 on Algorithms and Problem Solving

In this lesson, you’ll discover:

What DFS is: A graph-traversal technique that explores as deeply as possible along one branch before backtracking—like tracing one path completely before exploring alternatives.

How DFS works: We'll walk through the steps—choosing a starting node, exploring deep into one path, and backtracking when no unvisited neighbors remain. This can be done using recursion (call stack) or an explicit stack.

Time and Space Complexity:
Both DFS and BFS have a time complexity of O(V + E), where V is the number of vertices and E is the number of edges.

DFS space complexity depends on depth: O(H) (where H is the maximum depth), which can be more memory-efficient compared to BFS’s width-dependent cost.

When to Use DFS:
Ideal for solving puzzles, discovering connected components, detecting cycles, topological sorting, or exploring thoroughly deep structures.

Contrast with BFS:
Unlike BFS, which explores level by level using a queue, DFS dives deep into a branch before backtracking.

Real-World Examples:
Maze solving (via exhaustive path exploration), course prerequisite ordering (topological sort), and detecting cycles in networks are classic DFS scenarios.

Great For:
Students mastering graph algorithms and solving algorithmic problems.
Learners preparing for exams, coding challenges, or competitive programming.
Anyone curious about how computers methodically explore complex structures!

If you found this helpful, like, subscribe, and hit the bell for more tutorials on algorithms and data structures! Drop your questions or examples in the comments—I’m here to help make graph algorithms click.

#dfs #graphalgorithms #problemsolving #11thclasscomputer #1styearcomputer #amanatbhatti #computerscience