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Rebuilding a Tree from Its Traversals: A Case Study of Program Inversion Export

by: Shin-Cheng Mu, Richard Bird
Programming Languages and Systems In Programming Languages and Systems, Vol. 2895 (2003), pp. 265-282.

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Given the inorder and preorder traversal of a binary tree whose labels are all distinct, one can reconstruct the tree. This article examines two existing algorithms for rebuilding the tree in a functional framework, using existing theory on function inversion. We also present a new, although complicated, algorithm by trying another possibility not explored before.


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