Questions tagged [subgraphs]

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Is a subtree of a minimum spanning tree a minimum spanning tree of the subgraph spanned by the subtree?

Let $G$ be a connected weighted undirected graph. Let $T$ be a minimum spanning tree (MST) of $G$. Consider removing an edge $e=(a,b)$ from $T$, which will give two subtrees $T_a$ and $T_b$, where $Ta$...