A Minimum Spanning Tree (MST) is a subset of edges in a connected, undirected graph that connects all the vertices together without any cycles and with the minimum possible total edge weight. This means that the MST includes the least expensive connections needed to link all points in the graph, making it efficient for various applications like network design and clustering. Algorithms such as Kruskal's and Prim's are commonly used to find the MST. These algorithms systematically select edges based on their weights, ensuring that the resulting tree is minimal while maintaining connectivity among all vertices in the graph.