Minimum spanning tree
A minimum spanning tree (MST) or minimum weight spanning tree is a subset of the edges of a connected, edge-weighted undirected graph that connects all the vertices together, without any cycles and with the minimum possible total edge weight. That is, it is a spanning tree whose sum of edge weights is as small as possible. More generally, any edge-weighted undirected graph (not necessarily connected) has a minimum spanning forest, which is a union of the minimum spanning trees for its connected components.
Minimum spanning tree - Wikipedia Jump to content From Wikipedia, the free encyclopedia Least-weight tree connecting graph vertices A planar graph and its minimum spanning tree. Each edge is labeled with its weight, which here is roughly proportional to its length. In graph theory , a minimum spanning tree ( MST ) or minimum weight spanning tree is a subset of the edges of a connected , edge-weighted undirected graph that connects all the vertices together, without any cycles and with the minimum possible total edge weight. [ 1 ] That is, it is a spanning tree whose sum of edge weights is as s
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