Minimum Spanning TreeLesson 38Free preview

Minimum Spanning Tree

This lesson is part of DSA · All levels

Summary

A minimum spanning tree is a subgraph that includes all nodes with a total minimum weight without forming a cycle. The two classical algorithms for building it are the Prim that grows from a single node and the crucial that connects the smallest side. MST is useful for designing cheap networks like cables and pipes.

Key points

MST includes all cyclic nodes with minimum weight
On the connected graph, the MST has a side V-1.
Prim grows from a single node, the crucial arranges all sides
Application: network design, clustering, and pipeline

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