Hey, Why is the binary tree uniquely determined when both the in-order, post-order and pre-order arrangements are given values.    In other words:   i) Show that if both the inorder and the postorder order are given for a binary tree with unique values, the binary tree is uniquely determined.   ii) Show that for a given postorder arrangement binary search trees are unique

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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Hey,

Why is the binary tree uniquely determined when both the in-order, post-order and pre-order arrangements are given values. 

 

In other words:

 

i) Show that if both the inorder and the postorder order are given for a binary tree with unique values, the binary tree is uniquely determined.

 

ii) Show that for a given postorder arrangement binary search trees are unique.

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