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 all the nodes while minimizing the total distance or cost associated with the edges. Algorithms like Kruskal's and Prim's are commonly used to find the MST. These algorithms systematically select edges based on their weights, ensuring that no cycles are formed, until all vertices are connected. The MST is useful in various applications, such as network design and optimizing resource distribution.