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Timeline for mapping integers to k-ary trees

Current License: CC BY-SA 4.0

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Nov 15, 2021 at 4:55 vote accept Sohrab T
Aug 14, 2021 at 8:42 answer added Brendan McKay timeline score: 3
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Nov 22, 2019 at 18:34 comment added Wlod AA Yes, given a non-negative integer, you extract k new integers (corresponding to children) by collecting the digits on the position = r mod k to form the r-th integer.
Nov 22, 2019 at 18:24 comment added Wlod AA Do everything by analogy. You'll use base k notation. You'll have k children each time (some of them may be empty, corresponding to digit 0. (I better go back to that link and have another look).
Nov 22, 2019 at 17:53 comment added Sohrab T I have tried extending it to the case of an n-ary tree and encountered a complication. At the end of the algorithm suggested by Tychonievich, he splits the integer into two separate integers, one for the right child and another for the left child. If I have an n-ary tree, it is not clear how many children there would be.
Nov 22, 2019 at 4:50 comment added Wlod AA It seems that you can follow the 2-ary solution from the link you have provided. I don't see any complication, the generalization seems to be straightforward.
Nov 22, 2019 at 4:20 comment added Wlod AA There is more than one way to count k-ary trees, meaning that the numeric values will be different (there are different equivalence relations...). Would you spell your definition explicitly in your Question?
Nov 22, 2019 at 3:30 review First posts
Nov 22, 2019 at 3:58
Nov 22, 2019 at 3:26 history asked Sohrab T CC BY-SA 4.0