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I am trying to write a data-type not for a tree, but for the spaces in between the leaves of thee tree. In number theory (a part of math) this is known as a topograph does it have a name in CS?

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    $\begingroup$ CS is also (a part of math). As far as I know, there is no name specific to computer science. I don't think there has ever been a CS-specific use-case though. $\endgroup$ – pdexter Aug 4 '16 at 14:12
  • $\begingroup$ For the "spaces between leaves" to be well defined, the tree needs to be an ordered tree (a tree in which the children of a vertex have some ordering). This is very often what programmers and computer scientists mean when they talk about "trees", but strictly speaking, an ordering of children is not necessary for a tree. $\endgroup$ – j_random_hacker May 17 at 14:01
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The empty space is called "OTIOSE". Pronounced "oh-she-ohs"

otiosity

Synonyms & Antonyms for otiose Synonyms abortive, barren, bootless, empty, fruitless, futile, ineffective, ineffectual, inefficacious, profitless, unavailing, unproductive, unprofitable, unsuccessful, useless, vain

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    $\begingroup$ Welcome to CS.SE! Do you have a citation or an example to show someone else who uses this word this way? $\endgroup$ – D.W. Apr 16 at 15:34
  • $\begingroup$ I see no evidence that this term is used. None of the synonyms you give is at all relevant to the question, so I don't see why "otiose" itself should be. $\endgroup$ – David Richerby May 16 at 16:23

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