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Greedy Algorithms for a Minimum Spanning Tree
Two greedy algorithms (due to Prim [1] and Kruskal [2]) have been proved to find an optimal spanning tree. This Demostration lets you visualize the two algorithms in either 2D or 3D.
Contributed by:
Frederick Wu
THINGS TO TRY
Rotate and Zoom in 3D
Automatic Animation
SNAPSHOTS
DETAILS
[1] R. C. Prim, "Shortest Connection Networks and Some Generalizations,"
Bell System Tech. J.,
36
, 1957 pp. 1389–1401.
[2] J. B. Kruskal, "On the Shortest Spanning Subtree of a Graph and the Traveling Salesman Problem,"
Proc. Amer. Math. Soc.,
7
, 1956 pp. 48–50.
[3] F. Wu, Chapter 6,
Manipulate@Mathematica
, Beijing: Tsinghua, 2010.
RELATED LINKS
Connecting Towns Using Kruskal's Algorithm
(
Wolfram Demonstrations Project
)
Kruskal's Algorithm
(
Wolfram
MathWorld
)
Minimum Spanning Tree
(
Wolfram
MathWorld
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Reconstruction of the Great Wall
(
Wolfram Demonstrations Project
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PERMANENT CITATION
Frederick Wu
"
Greedy Algorithms for a Minimum Spanning Tree
"
http://demonstrations.wolfram.com/GreedyAlgorithmsForAMinimumSpanningTree/
Wolfram Demonstrations Project
Published: May 14, 2009
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