Stuck on solving the Minimal Spanning Tree problem.

Posted by kunjaan on Stack Overflow See other posts from Stack Overflow or by kunjaan
Published on 2009-05-20T20:06:11Z Indexed on 2010/05/16 6:50 UTC
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graphs

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minimum-spanning-tree

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algorithm

I have reduced my problem to finding the minimal spanning tree in the graph. But I want to have one more constraint which is that the total degree for each vertex shouldnt exceed a certain constant factor. How do I model my problem? Is MST the wrong path? Do you know any algorithms that will help me?

One more problem: My graph has duplicate edge weights so is there a way to count the number of unique MSTs? Are there algorithms that do this?

Thank You.

Edit: By degree, I mean the total number of edges connecting the vertex. By duplicate edge weight I mean that two edges have the same weight.

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