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2-3 Tree
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AVL Tree:
Red Black Tree
In binary search trees we have seen the average-case time for operations like search/insert/delete is O(log N) and the worst-case time is O(N) where N is the number of nodes in the tree.
Like other Trees include AVL trees, Red Black Tree, B tree, 2-3 Tree is also a height balanced tree.
The time complexity of search/insert/delete is O(log N) .
A 2-3 tree is a B-tree of order 3.
Properties of 2-3 tree:
Nodes with two children are called 2-nodes. The 2-nodes have one data value and two children
Nodes with three children are called 3-nodes. The 3-nodes have two data values and three children.
Data is stored in sorted order.
It is a balanced tree.
All the leaf nodes are at same level.
Each node can either be leaf, 2 node, or 3 node.
Always insertion is done at leaf.
Red Black Tree
In binary search trees we have seen the average-case time for operations like search/insert/delete is O(log N) and the worst-case time is O(N) where N is the number of nodes in the tree.
Like other Trees include AVL trees, Red Black Tree, B tree, 2-3 Tree is also a height balanced tree.
The time complexity of search/insert/delete is O(log N) .
A 2-3 tree is a B-tree of order 3.
Properties of 2-3 tree:
Nodes with two children are called 2-nodes. The 2-nodes have one data value and two children
Nodes with three children are called 3-nodes. The 3-nodes have two data values and three children.
Data is stored in sorted order.
It is a balanced tree.
All the leaf nodes are at same level.
Each node can either be leaf, 2 node, or 3 node.
Always insertion is done at leaf.
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