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

Question

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

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Solution 1

In a B* tree, the maximum number of children a non-root internal node can have depends on the order of the tree, denoted as 'm'.

Step 1: Understand the order of the tree The order of a B* tree, 'm', is the maximum number of children a node can have.

Step 2: Apply the order to non-root internal nodes For non-root internal nodes in a B* tree, the maximum number of children is the same as the order of the tree, 'm'.

So, the maximum number of children a non-root internal node can have in a B* tree is 'm'.

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Solution 2

In a B* tree, the maximum number of children a non-root internal node can have depends on the order of the tree, denoted as 'm'.

The maximum number of children for a non-root internal node in a B* tree is 'm'.

Here's the step-by-step explanation:

  1. A B* tree is an extension of a B tree that allows for more efficient redistribution of keys, leading to better disk I/O performance.

  2. The order of a B* tree, denoted as 'm', is the maximum number of children a node can have.

  3. For a non-root internal node in a B* tree, the maximum number of children it can have is 'm'.

  4. This is because, in a B* tree, all non-root nodes must have at least ceil(m/2) children.

  5. Therefore, the maximum number of children a non-root internal node can have in a B* tree is 'm'.

Remember, the exact value of 'm' depends on the specific B* tree in question.

This problem has been solved

Solution 3

In a B* tree, the maximum number of children a non-root internal node can have depends on the order of the tree, denoted as 'm'.

The maximum number of children for a non-root internal node in a B* tree is 'm'.

Here's the step-by-step explanation:

  1. A B* tree is an extension of a B-tree, and it's a type of self-balancing search tree.

  2. The order of the B* tree, 'm', is the maximum number of children a node can have.

  3. For a non-root internal node in a B* tree, it can have a maximum of 'm' children.

  4. This is because, in a B* tree, all non-root nodes must have at least ceil(m/2) children.

  5. Therefore, the maximum number of children a non-root internal node can have in a B* tree is 'm'.

This problem has been solved

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