Undirected, Planar MST

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. Here, we assume that the graph is planar.

Parameters

  • VV: number of vertices
  • EE: number of edges
  • UU: maximum edge weight

Filters

Computational Model

Randomization

Approximation

Algorithms Table

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Cheriton-Tarjan (planar)1976O(V)O(V) auxiliary

Reductions Table

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Other relevant algorithms

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