What is the minimum number of children a non-root internal node can have in an M-way search tree?
Question
What is the minimum number of children a non-root internal node can have in an M-way search tree?
Solution
In an M-way search tree, each internal node can have a minimum of children, where is the maximum number of children that each node can have.
Explanation:
-
Definition of M-way Search Tree: An M-way search tree is a variation of a binary tree where each node can have up to children.
-
Internal Nodes: These nodes are not leaf nodes; they have at least one child.
-
Minimum Children Requirement: For the tree to maintain balance and accommodate searching, the internal nodes must have at least half of the maximum number of children, rounded up. Therefore, it is stated mathematically as:
Final Answer
Thus, the minimum number of children a non-root internal node can have in an M-way search tree is .
Similar Questions
In a B* tree, what is the maximum number of children a non-root internal node can have?
What is the minimum number of children a node can have in a binary tree?Group of answer choices0123
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?
In a BST, if a node has no children, it is known as a ______.root nodeleaf nodeinternal nodesubnode
n a binary tree, what is the maximum number of nodes that can be foundin level 3? In level 4? In level 12?
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.