Hello every one, I wonder if there is an exact or approximation algorithm for the following problem: given a complete weighted graph, find a a minimum spanning tree such that the degree of each non-leaf node is bigger than a constant number (say b).
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Hm, it would be nice Challenge problem for CodeChef if solution is not found :)
ha, found it! the name of the problem is "min-degree bounded minimum spanning tree" and has been proved to be NP-hard, there are a few papers which have tried to solve it using an operational research approach.