Degree-constrained spanning tree: Difference between revisions

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For k=2, is Hamiltonian path problem
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Question: Does G have a spanning tree in which no node has degree greater than ''k''?
 
This problem is [[NP-Complete]]. This can be shown by a reduction from the [[Hamiltonian path problem]]. It remains NP-complete even if ''k'' is fixed to a value ≥ 2 (in fact, for ''k''=2, this is the Hamiltonian path problem).
 
== References ==