Complexity of the above Program
Operation | Explanation | Complexity |
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Insertion Operation | Insertion operation is used to insert the new node into the Red-Black Tree while maintain the properties. |
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Deletion Operation | Deletion operation is used to remove the node from Red-Black Tree while maintain the properties. |
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Searching Operation | Search operation is used to find the node with the given key in Red-Black Tree |
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Traversal Operation | Traversal Operation is used to visit the all nodes of Red-Black Tree in a certain order. |
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Applications of Red-Black Tree
Red-Black Tree are used in the various applications where the balanced tree data structures are essential for the maintaining the efficient operations. Here is the some applications of the Red-Black Tree:
- Implementation of Associative Containers in Standard Libraries
- Event-Driven Simulations
- Compiler Design
- Operating Systems
- Networking
- Databases and File Systems
- Memory Management
Red Black Tree Java
A Red-Black Tree is a self-balancing binary search tree where each node contains an extra bit for the storing colour either red or black. This structure ensures that the tree remains balanced during the insertions and deletion operation, so maintains an O(log n) time complexity for the basic operations. In the Red-Black Tree, each node is either red or black, the root of the tree is always black, and all leaves (NIL nodes) are black. If the red node has children then the children are always black which means no two red nodes are adjacent. Every path from the given node to the descendant leaves has the same number of black nodes. These can help the tree remain balanced so keeping the depth of the tree logarithmic relative to the number of nodes.