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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Chapter 14, Problem 3PE

a)

Program Plan Intro

B+ -tree:

  • In this case, initially it is considered that the B+-tree is empty and the values are inserted in ascending order.
  • It is not possible to have a value less that n/2 as the non-root node and in this case the non-root node can only have 2-3 key values.
  • The first two key values (2,3) get added to the root node.

b)

Explanation of Solution

  • Next, when key value 7 is inserted in the tree;
    • Root node now holds key value 7, and its first pointer points to a leaf node.
    • The inserted leaf node contains the key value 2,3, and 5.
  • As more key values are inserted, more leaf nodes are added as per requirement...

c)

Explanation of Solution

  • The first four key values (2,3,5, and 7) are simply added to the root node.
  • Next, when key value 11 is inserted in the tree;
    • Root node now holds the key value 11, and its first pointer points to a leaf node.
    • The inserted leaf node contains the key values 2,3,5, and 7...

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