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Feb 27, 2021 at 23:12 comment added Hendrik Jan It is actually hard to see what is really assumed about trees, and what is to prove here? Usually we show complexity results given a representation of the data structure (here nodes and edges). Then we reason about the number of steps it takes it takes to collect information or move to certain nodes via edges. Below, in the structural induction proof, I see none of these.
Feb 26, 2021 at 8:29 history became hot network question
Feb 26, 2021 at 7:46 comment added greybeard You may need assumptions such as getting from $T$ (or $r$) to any of the subtrees takes time bounded above by a constant. (You may be making this in does constant work on each visit.) It's too obvious suggest by contradiction, each by induction.
Feb 26, 2021 at 0:39 history edited Steven CC BY-SA 4.0
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Feb 26, 2021 at 0:22 answer added D.W. timeline score: 1
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Feb 26, 2021 at 0:19 answer added Steven timeline score: 2
Feb 26, 2021 at 0:15 history edited tossimmar CC BY-SA 4.0
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Feb 26, 2021 at 8:25
Feb 26, 2021 at 0:07 history asked tossimmar CC BY-SA 4.0