Undirected, Planar MST (Minimum Spanning Tree (MST))
Jump to navigation
Jump to search
Description
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.
Related Problems
Generalizations: Undirected, General MST
Related: Undirected, Dense MST, Undirected, Integer Weights MST, Directed (Optimum Branchings), General MST, Directed (Optimum Branchings), Super Dense MST
Parameters
$V$: number of vertices
$E$: number of edges
$U$: maximum edge weight
Table of Algorithms
| Name | Year | Time | Space | Approximation Factor | Model | Reference |
|---|---|---|---|---|---|---|
| Cheriton-Tarjan (planar) | 1976 | $O(V)$ | $O(V)$ auxiliary | Exact | Deterministic | Time |