Knowee
Questions
Features
Study Tools

B-tree of order n is an order-n multiway tree in which each non-root node contains

Question

B-tree of order n

A B-tree of order n is an order-n multiway tree in which each non-root node contains:

🧐 Not the exact question you are looking for?Go ask a question

Solution

between n-1 and 2n-1 elements.

  1. A B-tree of order n is a balanced search tree where each node has a specific number of elements and children, depending on the order of the tree.

  2. The root node of a B-tree can have between 1 and 2n-1 elements.

  3. Any other non-root node in the B-tree must have between n-1 and 2n-1 elements.

  4. Each non-root node in the B-tree also has one more child than it has elements. So, if a non-root node has k elements, it must have k+1 children.

  5. The elements in each node of the B-tree are ordered, and they separate the values in its children. If a node has k elements a1, a2, ..., ak, and k+1 children b1, b2, ..., bk+1, then all elements in bi are less than ai for i=1,2,...,k, and all elements in bk+1 are greater than ak.

  6. All leaves in the B-tree are at the same level, which means the tree is balanced. This property ensures that the time complexity for search, insert, and delete operations in the B-tree is logarithmic.

This problem has been solved

Similar Questions

In a B* tree, what is the maximum number of children a non-root internal node can have?

What is the maximum number of keys that a B+ -tree of order 3 and of height 3 have?

In a BST, if a node has no children, it is known as a ______.root nodeleaf nodeinternal nodesubnode

Consider a B+-tree in which the maximum number of keys in a node is 5. What is the minimum number of child pointers in any non-root internal node?

Consider a B+-tree in which the maximum number of keys in a node is 5. What is the minimum number of keys in any non-root node?*2 points1234

1/2

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.