Minimum spanning trees connect all vertices with minimal weight from "summary" of Data Structures and Algorithms in Python by Michael T. Goodrich,Roberto Tamassia,Michael H. Goldwasser
A minimum spanning tree for a connected, undirected graph is a spanning tree that connects all vertices of the graph with the smallest possible sum of edge weights. In other words, it is a tree that includes all the vertices of the graph and has the minimum total weight among all possible trees that can be formed from the graph. For example, in a city map where vertices represent locations and edges represent roads between locations, a minimum spanning tree would be the set of roads that connect all locations with the smallest total distance. To find a minimum spanning tree for a given graph, we can use algorithms such as Prim's algorithm or Kruskal's algorithm. Prim's algorithm starts with an arbitrary vertex and grows the minimu...
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