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Maximum Weight Spanning tree (Undirected)

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Maximum Weight Spanning tree (Undirected)

by Guangdi Li

 

12 Mar 2009 (Updated 11 Jun 2009)

Chu-Liu-Edmonds Algorithm for learning "Undirected Maximum Weight Spanning tree" is proposed here.

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Description

This algorithm is based on two papers:
 Chu-Liu-Edmonds Algorithm:
     Y. J. Chu and T. H. Liu, ``On the shortest arborescence of a directed graph'', Science Sinica, v.14, 1965, pp.1396-1400.
     J. Edmonds, ``Optimum branchings'', J. Research of the National Bureau of Standards, 71B, 1967, pp.233-240.

The code can be easily changed to consider minimum weight spanning tree.

Please open "ControlCentor.m" at first. there is an example for understanding....If there is any question or problem, please let me know, i will help you as soon as possible.

MATLAB release MATLAB 7.6 (R2008a)
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Comments and Ratings (8)
29 May 2009 enrico

The Chu-Liu-Edmonds Algorithm is what I was really looking for.
Could you please tell me how to modofy the code to get the minimum Spannin Tree in a DIRECTED graph!?

I would really appreciate!

thanks!

02 Jun 2009 Guangdi Li

Sorry for replying you 3 days later ( busy for master defense ).
I have updated another document named as DirectedMaximumSpanningTree.zip, including the algorithm that you have desired.
If there is any problem, please let me know, i will help you as soon as possible.

08 Jul 2009 Lila  
02 Dec 2011 Sim

Hello Guangdi Li,

I require a code for enumerating all possible spanning trees of an undirected connected graph. By using the Cayley's formula, i first need to take out the total number of spanning trees of a graph and then i need to create that total number of spanning trees through a code.... I'm completely new to matlab and i need to complete my university project as soon as possible.
Please help.
Sim

02 Dec 2011 Guangdi Li

I guess that's the task of your project, no?

02 Dec 2011 Sim

Thanks for the help

02 Dec 2011 Guangdi Li

I would like to help, but I don't have time, sorry.

02 Dec 2011 Sim

its okie.... i know its my problem and i have to deal with it myself... :S

GOD BLESS U

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Updates
28 Apr 2009

Some files are missing, thanks ..

02 Jun 2009

The description for this algorithm is not so clear that I revise it again

11 Jun 2009

Make it more simple

Tag Activity for this File
Tag Applied By Date/Time
spanning tree Guangdi Li 13 Mar 2009 13:22:31
data mining Guangdi Li 13 Mar 2009 13:22:31
graph theory Guangdi Li 13 Mar 2009 13:22:31

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