Database System Concepts
Database System Concepts
7th Edition
ISBN: 9780078022159
Author: Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher: McGraw-Hill Education
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### Binary Search Tree Diagram

#### Diagram Explanation:
The diagram illustrates a binary search tree structure, which is a data structure used to maintain a sorted sequence of elements, allowing for efficient insertion, deletion, and lookup operations.

- **Nodes:**
  - E (root)
  - C, H (children of E)
  - B, D (children of C)
  - A (child of B)
  - F (child of H)
  - G (child of F)

- **Levels of Nodes:**
  - Level 1: Node E
  - Level 2: Nodes C, H
  - Level 3: Nodes B, D, F
  - Level 4: Nodes A, G

Each node in the tree has 0, 1, or 2 children. In this structure, left children are typically smaller than their parent nodes, while right children are larger.

### Text:
2. In the binary search tree above, finding node E requires one comparison and finding node A requires four comparisons. What is the expected number of comparisons required to find a node chosen at random?
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Transcribed Image Text:### Binary Search Tree Diagram #### Diagram Explanation: The diagram illustrates a binary search tree structure, which is a data structure used to maintain a sorted sequence of elements, allowing for efficient insertion, deletion, and lookup operations. - **Nodes:** - E (root) - C, H (children of E) - B, D (children of C) - A (child of B) - F (child of H) - G (child of F) - **Levels of Nodes:** - Level 1: Node E - Level 2: Nodes C, H - Level 3: Nodes B, D, F - Level 4: Nodes A, G Each node in the tree has 0, 1, or 2 children. In this structure, left children are typically smaller than their parent nodes, while right children are larger. ### Text: 2. In the binary search tree above, finding node E requires one comparison and finding node A requires four comparisons. What is the expected number of comparisons required to find a node chosen at random?
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