Dijkstra's Algorithm Explained (Exam POV) | UGC NET EXAM | MCS-211 #ignou

Welcome to Distance Degree Decoded! 🎓

In this video, we cover the Theory and Exam Writing Strategy for **Dijkstra's Algorithm** (Single Source Shortest Path), a crucial topic in MCS-211 (Block 3: Greedy Algorithms).

Many students practice the numericals but struggle when the question asks: *"Explain Dijkstra's Algorithm and analyze its complexity."* This video is designed to help you answer that specific question.

📘 **Course:** MCS-211 Design and Analysis of Algorithms
🛣️ **Topic:** Dijkstra's Algorithm (Theory & Logic)
💡 **Category:** Greedy Algorithms

👇 **WHAT WE COVER (EXAM POV):**
1. **The Concept:** What is the Single Source Shortest Path problem?
2. **Greedy Strategy:** Why is this called a "Greedy" algorithm?
3. **The Logic:** Understanding "Relaxation" of edges
4. **Writing the Algorithm:** Step-by-step pseudo-code to write in your answer sheet.
5. **Complexity Analysis:** Why is it O(V²) or O(E log V)?
6. **Limitations:** Why it fails with Negative Edge Weights.

✅ **EXAM TIP:**
If a theory question comes on Dijkstra, you MUST mention:
1. It uses the **Greedy approach**.
2. It uses a **Priority Queue** (Min-Heap) concept.
3. It does **NOT** work for negative weight edges.
(Writing these 3 points ensures good marks!)
👍 **CLEAR THE CONCEPT?**
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