Minimum Spanning Tree. A minimum spanning tree is the one that contains the least weight among all the other spanning trees of a connected weighted graph. This tutorial has the simplest explanation for prim's minimum.
• initially the tree t is just the root. This tutorial has the simplest explanation for prim's minimum. Like kruskal's algorithm, prim's algorithm is also a greedy algorithm. Now suppose the edges of the graph have weights or lengths.
• since a tree cannot have a simple circuit, a tree cannot contain multiple edges or loops.
Consider a complete graph g. A spanning tree (st) of a connected undirected weighted graph g is a subgraph of g that is a tree and how are you going to build the roads? It connects all the vertices together with the minimal total weighting for its edges. (ii) the indegree of r in t is 0, the indegree of every.
