There are three different tree traversals for binary trees, which are in-order traversal, pre-order traversal and post-order traversal. If pre-order traversal and post-order traversal are provided, it is found that in some cases, the in-order traversal is not unique. Construct an example, with exactly 3 nodes, that pre-order traversal and post-order traversal can give a unique in-order traversal. b. Construct another example, with exactly 3 nodes, that pre-order traversal and post-order traversal cannot give a unique in-order traversal. c. State and explain the necessary and sufficient condition that a unique in-order traversal can be deduced from given both pre-order traversal and post-order traversal.

There are three different tree traversals for binary trees, which are in-order traversal, pre-order traversal and post-order traversal. If pre-order traversal and post-order traversal are provided, it is found that in some cases, the in-order traversal is not unique. Construct an example, with exactly 3 nodes, that pre-order traversal and post-order traversal can give a unique in-order traversal. b. Construct another example, with exactly 3 nodes, that pre-order traversal and post-order traversal cannot give a unique in-order traversal. c. State and explain the necessary and sufficient condition that a unique in-order traversal can be deduced from given both pre-order traversal and post-order traversal.

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

Problem 1PE

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