Find the minimum cost spanning tree on the graph above using Kruskal's algorithm. What is the total cost of the tree?


To find the Minimum Cost Spanning Tree (MST) using **Kruskal's Algorithm**, the following steps are typically involved:

1. **Sort all edges** of the graph in increasing order of their weights (costs).
2. **Pick the smallest edge**. If it doesn't form a cycle with the spanning tree formed so far, include it in the MST. Otherwise, discard it.
3. **Repeat** step 2 until you have \( V - 1 \) edges (where \( V \) is the number of vertices in the graph).

Since the graph is not provided visually, please upload an image or provide the graph's description (vertices and edges with their respective weights), and I will proceed with the solution.

Find the minimum cost spanning tree on the graph above using Kruskal's algorithm. What is the total cost of the tree?

This problem guides you through finding the minimum cost spanning tree using Kruskal's Algorithm. It involves sorting edges, selecting non-cyclic edges, and understanding graph theory concepts. Suitable for students at the undergraduate level in discrete mathematics or algorithms.

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