Question: Consider the problem Spanning Tree with Bounded Degree ( STBD ) : Given an undirected graph G = ( V , E ) and integer

Consider the problem Spanning Tree with Bounded Degree (STBD): Given an undirected graph G =(V,E) and integer k >0, determine whether there is a spanning tree where the max vertex degree in the tree is not greater than k. That is, whether there is a subgraph G(V,E),E E,|E|=|V |1,G is a connected graph and all its node degrees are less than or equal to k. Prove that STBD is in NP-complete.

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