5.4. Detailed Explanation of Kruskal's Algorithm

Try these first

1. 1.

   What does Kruskal's Algorithm aim to find?

   Hint

   Think about connecting all vertices with the least cost.

2. 2.

   What is the first step in Kruskal's Algorithm?

   Hint

   How do we begin organizing the edges?

3. 3.

   What does Kruskal's Algorithm build?

   • Minimum Spanning Tree
   • Maximum Spanning Tree
   • Cycle Graph

   Hint

   What kind of tree does it aim for?

4. 4.

   T/F: Kruskal's Algorithm adds edges in decreasing order of weight.

   • True
   • False

   Hint

   How are the edges prioritized?

5. 5.

   Design a graph with at least 6 vertices and 9 edges, and demonstrate how Kruskal’s Algorithm finds the minimum spanning tree. List all steps taken during the process.

   Hint

   Which edges would you initially consider?

6. 6.

   In what situations might Kruskal's Algorithm be less efficient compared to Prim's Algorithm? Provide examples or scenarios.

   Hint

   Think about the initial sorting phase.