Perform the traversals for the above tree: a. reverse postorder: b. preorder traversal: c. Give the array representation of the binary tree above.

Database System Concepts
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ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Chapter1: Introduction
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2. Perform the traversals for the above tree:

  • a. reverse postorder:
  • b. preorder traversal:
  • c. Give the array representation of the binary tree above.
This diagram is a directed graph showcasing a hierarchical structure of nodes connected by arrows.

### Key Elements:

1. **Root Nodes:**
   - There are two primary root nodes at the top: `0034` and `0067`.

2. **Node `0034` Structure:**
   - **Child Nodes:**
     - `0005` which extends to `0002` on its left side.
     - `0045` which leads to `0040` and further to `0043` on the right side.
     - `0017` extends from `0005` leading to `0021`, which then connects to `0025` and subsequently to `0033`.

   - **Sub-hierarchy:** 
     - `0045` that leads to another `0045`, which then branches to `0055` and finally to `0049`.

3. **Node `0067` Structure:**
   - **Child Nodes:**
     - `0078` leads to `0088`, and further to `0089` on the right side.
     - `0076` which leads to `0071` on the left.
     - `0092` connects to `0087` and further to another `0078`, leading to `0084` below.

### Explanation:

- **Connections:** Arrows indicate the direction from parent nodes to child nodes, illustrating potential paths or sequences.
- **Purpose:** Such a diagram might represent data flows, genealogy structures, organizational hierarchies, or other systems requiring a representation of hierarchical relationships.
Transcribed Image Text:This diagram is a directed graph showcasing a hierarchical structure of nodes connected by arrows. ### Key Elements: 1. **Root Nodes:** - There are two primary root nodes at the top: `0034` and `0067`. 2. **Node `0034` Structure:** - **Child Nodes:** - `0005` which extends to `0002` on its left side. - `0045` which leads to `0040` and further to `0043` on the right side. - `0017` extends from `0005` leading to `0021`, which then connects to `0025` and subsequently to `0033`. - **Sub-hierarchy:** - `0045` that leads to another `0045`, which then branches to `0055` and finally to `0049`. 3. **Node `0067` Structure:** - **Child Nodes:** - `0078` leads to `0088`, and further to `0089` on the right side. - `0076` which leads to `0071` on the left. - `0092` connects to `0087` and further to another `0078`, leading to `0084` below. ### Explanation: - **Connections:** Arrows indicate the direction from parent nodes to child nodes, illustrating potential paths or sequences. - **Purpose:** Such a diagram might represent data flows, genealogy structures, organizational hierarchies, or other systems requiring a representation of hierarchical relationships.
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