I had a revelation during my biology exam: every vertex in an unrooted tree should be called a "seed"; it has the potential to become a root, but it's not the root yet.
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Auto comment: topic has been updated by smjleo (previous revision, new revision, compare).
Geniusity !!!
If one node of a tree has a degree of $$$n-1$$$, the tree should be called flower, the central node pistil or stamen and the other nodes should be called petals