Understanding Kruskal's Algorithm: From Theory to Real-World Application

**SlideShare Description:**

Discover the essentials of Kruskal's Algorithm in this comprehensive presentation. Ideal for students and professionals alike, this presentation covers:

- **Introduction of Kruskal Algorithm**: An overview of Kruskal's Algorithm, its significance in graph theory, and its applications in finding the Minimum Spanning Tree (MST) of a graph.
- **Kruskal's Algorithm Pseudocode**: Step-by-step pseudocode to illustrate the logical flow and key operations of the algorithm.
- **Implementation of Kruskal’s Algorithm**: Practical implementation details, including the data structures and techniques used for efficient execution.
- **Real Life Example of Kruskal’s Algorithm**: A real-world scenario where Kruskal's Algorithm is applied, demonstrating its practical utility.
- **Summary**: A concise recap of the key points covered in the presentation.

Enhance your understanding of this fundamental algorithm and its application in solving complex network problems.
Kruskal Algorithm, Minimum Spanning Tree, Graph Theory, Algorithm, Data Structures, Computer Science, Pseudocode, Network Optimization, Real Life Example, Implementation, Educational Presentation, SlideShare.

1. Green University Of Bangladesh Presentation Topic : Kruskal’s Algorithm Presented To Md. Gulzar Hossain Lecturer Department of CSE Green University of Bangladesh Presented By Name : Md Imran Khan ID : 203015003 Course : Algorithm Lab Course Code : CSE 206 Department : Computer Science & Engineering

2. Content Introduction of Kruskal Algorithm K ruskal's algorithm pseudocode Implementation of Kruskal’s Algorithm Real Life example of Kruskal’s Algorithm Summary

3. Kruskal's algorithm is a greedy algorithm in graph theory that finds a minimum spanning tree for a connected weighted graph. It finds a subset of the edges that forms a tree that includes every vertex, where the total weight of all the edges in the tree is minimized. This algorithm is directly based on the MST( minimum spanning tree) property. Introduction of Kruskal’s Algorithm

4. Introduction of Kruskal’s Algortihm

5. MST-KRUSKAL(G, w) A ← Ø for each vertex v V[G] do MAKE-SET(v) sort the edges of E into nondecreasing order by weight w for each edge (u, v) E, taken in nondecreasing order by weight do if FIND-SET(u) ≠ FIND-SET(v) then A ← A {(u, v)} UNION(u, v) return A Pseudocode of Kruskal’s Algortihm

6. Implementation of Kruskal’s Algortihm

7. Implementation of Kruskal’s Algortihm

8. Implementation of Kruskal’s Algortihm

9. Implementation of Kruskal’s Algorithm

10. Output of the Program

11. Landing cables. TV Network. Tour Operations. LAN Networks. A network of pipes for drinking water or natural gas. An electric grid. Single-link Cluster. Application where Kruskal’s Algorithm is generally use d

12. In Kruskal Algorithm, initially, all the nodes of the graph are separated from each other, which means they don't have an edge between them . Then to obtain the minimum spanning tree from that graph we first sort the edges of the graph in a non-decreasing fashion. Problem of Kruskal’s Algorithm