An undirected connected graph with $n - 1$ edges has only one unique path between any 2 vertices. Is this true. If so, how.
2026-04-05 09:37:46.1775381866
Unique path in a connected graph
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This graph is a tree and so it does not contain a cycle. So if there are two points $A,B$ with two paths between them $$P_1 : A\to ...\to B$$ and $$P_2 : A\to ...\to B$$ then path $P_2^{-1}\circ P_1$ would be a cycle wich starts and ends with $A$.