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Use this tag whenever your question is related to minimum spanning tree (MST). An MST of a connected edge-weighted graph G is a spanning tree whose sum of edge weights is as small as possible. We usually assume $G$ is finite, simple and undirected.
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NP-hardness of existence of spanning tree with given maximal degree
I am trying to solve the following exercise:
Let $G = (V,E)$ be a graph. Show that the following two problems are NP-hard:
$G$ has a spanning tree where every node has at most $k$ neighbors, and $k$ …