What is the possible depth of this B+ tree?

What is the possible depth of this B+ tree?

this tree would have a minimum depth of 3, i.e. it would have a root node, one layer of non-leaf nodes, and the layer of leaf nodes. this tree would have a maximum depth of 3 as well.

What is a B+ tree?

The B+-tree is a tree structure where every node corresponds to a disk block and which satisfies the following properties: The tree is balanced, i.e., every leaf node has the same depth. An internal node stores a list of keys and a list of pointers.

Is B+ tree height balanced?

While in BST, height of tree after insertion increased from leaf nodes. Similarly, if we have to decrease the height of the tree after deletion, we move the root one level down. So, this will make sure that depth of leaf nodes are same and B+ Tree are balanced trees.

What is B+ tree explain?

A B+ tree is an m-ary tree with a variable but often large number of children per node. A B+ tree consists of a root, internal nodes and leaves. The root may be either a leaf or a node with two or more children.

How many records can a B+ tree hold?

Therefore, n <= 100. The leaf level of a B+-tree can hold at most 99 * 100 * 100 record pointers. Therefore, the maximum number of records that can be indexed is 990000.

What are the leaf nodes in a B+ tree?

What are the leaf nodes in a B+ tree? Explanation: The bottommost nodes that mark the end of a tree are known as the leaf nodes in a B+ tree. Explanation: Non leaf nodes are also known as internal nodes. A non-leaf node may hold up to n pointers and should hold at least n/2 pointers.

How many leaf nodes are in a B+ tree?

= 12659 leaf nodes. The number of Index Nodes Needed: Bottom Most Index Node Level (one level above the leaf nodes): The nodes above the leaf nodes, which are the Index nodes, will use all 80 pointers for nodes.

What is height balance tree?

Height balance tree (self balancing tree) is a binary tree which automatically maintain height of tree, and its sub tree on each insertion and deletion of node. And tree is always complete tree. AVL tree, red-black tree are example of height balanced tree. AVL tree uses balance factor to balance the height of tree.

What are the properties of B+ trees?

Properties of a B+ Tree

  • All leaves are at the same level.
  • The root has at least two children.
  • Each node except root can have a maximum of m children and at least m /2 children.
  • Each node can contain a maximum of m – 1 keys and a minimum of ⌈m/2⌉ – 1 keys.

What is the use of B+ tree?

Application of B+ Trees: Multilevel Indexing. Faster operations on the tree (insertion, deletion, search) Database indexing.

Is B+ tree a binary tree?

Therefore, we can say that the above tree is a binary tree but not a B tree. If the Btree has an order of m, then each node can have a maximum of m In the case of minimum children, the leaf nodes have zero children, the root node has two children, and the internal nodes have a ceiling of m/2.