## How do you remove a node from a 2-3 tree?

To merge the node, pull down the lowest data value in the parent’s node and merge it with its left sibling. To delete 81, 81 is an internal node. To delete this value swap 81 with its in-order successor 90 so that 81 now becomes a leaf node.

What do you mean by a 2-3 tree?

In computer science, a 2–3 tree is a tree data structure, where every node with children (internal node) has either two children (2-node) and one data element or three children (3-nodes) and two data elements. A 2–3 tree is a B-tree of order 3.

What height is 2/3 tree?

The height of a 2-3 tree with n nodes cannot exceed log2(n + 1). Together, the tree balance and the ordered nature of the nodes means that testing membership in, inserting an element into, and deleting an element from a 2-3 tree takes logarithmic time.

### What are 2-3-4 trees used for?

2-3-4 trees are self-balancing and usually are usually very efficient for finding, adding and deleting elements, so like all trees they can be used for storing and retrieving elements in non-linear order.

How do you convert a 2-3-4 tree to a red black tree?

1. Transform any 2-node in the 2-3-4 tree into a black node in the red-black tree.
2. Transform any 3-node into a child node and a parent node.
3. Transform any 4-node into a parent and two children, the first child has its own children W and X; the second child has children Y and Z.

Why we would use a 2-3 tree over a standard BST?

To maintain these shape and search properties requires that special action be taken when nodes are inserted and deleted. The 2-3 tree has the advantage over the BST in that the 2-3 tree can be kept height balanced at relatively low cost.

#### Which of the following the BST is isometric with the 2-3 tree?

Which of the following the BST is isometric with the 2-3 tree? Explanation: AA tree is isometric of the 2-3 trees.

How many different types of nodes are in a 2-3-4 tree including internal and leaf nodes )?

A 2-3-4 tree is a balanced search tree having following three types of nodes. 2-node has one key and two child nodes (just like binary search tree node).

What is the minimum and maximum height of a 2-3 4 tree of n nodes?

According to Wikipedia the maximum height is log_(m/2)(n) . 2-3 trees have a maximum height of log_2(n) when the tree consists of only 2-nodes and the minimum height is about log_3(n) [~0.631 log_2(n)] when the tree consists of only 3-nodes.