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Minimum Spanning Tree

Minimum Spanning Tree

Jan 07, 20251 min read

A Spanning Tree of a Graph that minimizes Edge Weight. “MST”.

  • i.e. an Acyclic Connected Graph that minimizes Edge Weight
  • e.g. Each house is a Vertex, each Edge is Weighted according to the cost of connecting the given pair of houses, the problem is optimally connect a given Graph of houses into a WAN
  • Multiple MSTs may be possible for a single graph.
  • Any MST must include the minimum edge connecting the two Subgraphs left by any possible Graph Cut

See also

Minimum Spanning Tree Algorithm


Graph View

Backlinks

  • Graph
  • Kruskal's Algorithm
  • Minimum Spanning Tree Algorithm
  • Prim's Algorithm

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