# 🎓 DAA Lecture 3.3: Minimum Spanning Tree Explained 🔥 | Prim's & Kruskal's Algorithm | Code2Win

*About Kallol Bhattacharya* IT Transformational Leader | 24+ years | Formerly with TCS, Infosys, CTS, Wipro Welcome to this lecture in our *Design Analysis of Algorithms (DAA)* series, where we continue *Module 3 – Graph and Tree Algorithms* by studying one of the most important graph optimization problems — the **Minimum Spanning Tree (MST)**. In this lecture, we understand **Spanning Trees, Minimum Spanning Trees (MST), weighted graphs, MST properties, Prim's Algorithm, Kruskal's Algorithm, greedy strategy, cycle detection, time complexity analysis, and frequently asked MAKAUT examination questions**. The lecture also includes complete algorithm walkthroughs, dry runs, step-by-step MST construction, comparison between Prim's and Kruskal's algorithms, complexity derivation, solved numerical examples, and previous year questions. 🎯 *You Will Learn* 00:00:00 – Introduction 00:01:29 – Spanning Tree & Minimum Spanning Tree 00:16:56 – Prims 00:30:10 – Krushkals 00:44:22 – Frequently Asked MAKAUT Questions 📄 *Lecture Notes:* https://drive.google.com/file/d/13Wyx... 📁 *Watch Previous Lectures* 🔗 DAA Lecture 1.0: DSA RECAP – Algorithms, Time & Space Complexity →    • DAA Lecture 1.0: DSA RECAP-Algorithms, Tim...   🔗 DAA Lecture 1.1: Algorithms & Time Complexity →    • 🎓 DAA Lecture 1.1: Algorithms & Introducti...   🔗 DAA Lecture 1.2: Asymptotic Notation →    • DAA Lecture 1.2: Asymptotic Notation | Big...   🔗 DAA Lecture 1.3: Linear Recurrence Relations →    • DAA Lecture 1.3 : Linear Reduction Recurre...   🔗 DAA Lecture 1.4: Non-Linear Reduction Recurrence Relations →    • DAA Lecture 1.4 : Non-Linear Reduction Rec...   🔗 DAA Lecture 1.5: Master Theorem →    • DAA Lecture 1.5: Master Theorem Explained ...   🔗 DAA Lecture 1.6: Generating Functions →    • DAA Lecture 1.6: Generating Functions Expl...   🔗 DAA Lecture 1.7 Part 1: Search & Sort Algorithm Complexity →    • DAA Lecture 1.7: Time Complexity of Search...   🔗 DAA Lecture 1.7 Part 2: Previous Year Questions on Search & Sort Algorithms →    • DAA Lecture 1.7 Part 2: Previous Year Ques...   🔗 DAA Lecture 2.1: Brute Force, Greedy & Dynamic Programming →    • DAA Lecture 2.1: Brute Force, Greedy & Dyn...   🔗 DAA Lecture 2.2: Tower of Hanoi →    • 🎓 DAA Lecture 2.2: Tower of Hanoi Explaine...   🔗 DAA Lecture 2.3: Graph Coloring →    • 🎓 DAA Lecture 2.3: Graph Coloring Explaine...   🔗 DAA Lecture 2.4: Job Sequencing with Deadlines →    • 🎓 DAA Lecture 2.4: Job Sequencing with Dea...   🔗 DAA Lecture 2.5: Traveling Salesman Problem (TSP) →    • 🎓 DAA Lecture 2.5: Traveling Salesman Prob...   🔗 DAA Lecture 2.6 Part 1: Knapsack Problem →    • 🎓 DAA Lecture 2.6: Part 1: Knapsack Explai...   🔗 DAA Lecture 2.6 Part 2: Knapsack PYQ Discussion →    • 🎓 DAA Lecture 2.6: Part 2: Knapsack PYQ Di...   🔗 DAA Lecture 2.7: N-Queen Problem →    • 🎓 DAA Lecture 2.7: N-Queen Problem Explain...   🔗 DAA Lecture 2.8: Hamiltonian Cycle →    • 🎓 DAA Lecture 2.8: Hamiltonian Cycle Expla...   🔗 DAA Lecture 2.9: Matrix Chain Multiplication →    • 🎓 DAA Lecture 2.9: Matrix Chain Multiplica...   🔗 DAA Lecture 3.1: Introduction to Graphs →    • # 🎓 DAA Lecture 3.1: Graphs Explained 🔥 | ...   🔗 DAA Lecture 3.2: Graph Traversal (BFS & DFS) →    • 🎓 DAA Lecture 3.2: Graph Traversal & Searc...   🎯 *Ideal For* • B.Tech / BCA / B.Sc. Computer Science students • MAKAUT and university exam preparation • Coding interview & placement preparation • Students learning Graph Algorithms • Competitive programming learners 🚀 *Why This Lecture Is Important* Minimum Spanning Tree is one of the most frequently asked topics in university examinations, coding interviews, and graph algorithm discussions. This lecture helps you: • Understand Spanning Trees and MST clearly • Learn Prim's Algorithm step-by-step • Learn Kruskal's Algorithm systematically • Compare Prim's and Kruskal's approaches • Understand Greedy strategy in Graph Algorithms • Analyze algorithm complexity • Solve frequently asked MAKAUT questions 👉 *Subscribe to Code2Win for:* ✅ Complete DAA playlist ✅ Graph Algorithms mastery ✅ Greedy Algorithm mastery ✅ Interview-focused algorithm analysis ✅ University exam preparation (MAKAUT aligned) 🔔 Like, Share & Subscribe to stay ahead in your coding journey! 🔍 *Keywords & SEO Tags* #DAA #MinimumSpanningTree #MST #PrimsAlgorithm #KruskalsAlgorithm #GraphAlgorithms #GreedyAlgorithm #WeightedGraph #AlgorithmAnalysis #MAKAUT #DAAMakaut #CodingInterviewPreparation #CompetitiveProgramming #Code2Win 🏷️ *YouTube Tags* DAA, Minimum Spanning Tree, MST, Prim's Algorithm, Kruskal's Algorithm, Graph Algorithms, Greedy Algorithm, Weighted Graph, Spanning Tree, Graph Theory, Algorithm Analysis, Design and Analysis of Algorithms, MAKAUT DAA, Coding Interview Preparation, Competitive Programming, Prim Algorithm, Kruskal Algorithm, MST Problems, Code2Win 📩 *Follow us for updates and bonus content!* 📸 LinkedIn:   / kallolbhattacharya   🐦 Telegram: https://t.me/Letscode2win 📺 WhatsApp: https://chat.whatsapp.com/HuCYM23aUSi...