Problem 4: B-trees. In this problem the height of a tree is defined as the number of the nodes, including the root, on the longest path from the root to a leaf. (i) What is the smallest number of elements in a B-tree of order 5 and of height h = 1, 2, 3, 5? Elaborate. (ii) What is the smallest number of elements in a B-tree of order b and of height h? Find a closed formula.
Problem 4: B-trees. In this problem the height of a tree is defined as the number of the nodes, including the root, on the longest path from the root to a leaf. (i) What is the smallest number of elements in a B-tree of order 5 and of height h = 1, 2, 3, 5? Elaborate. (ii) What is the smallest number of elements in a B-tree of order b and of height h? Find a closed formula.
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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Problem 4: B-trees. In this problem the height of a tree is defined as the number of the
nodes, including the root, on the longest path from the root to a leaf.
(i) What is the smallest number of elements in a B-tree of order 5 and of height h =
1, 2, 3, 5? Elaborate.
(ii) What is the smallest number of elements in a B-tree of order b and of height h? Find
a closed formula.
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