B-Tree Insertion Algorithm

Efficient Data Storage & Retrieval B-Trees organize data for fast searching, insertion, and deletion. See how keys are removed while keeping the tree balanced.

B-Tree Insertion

B-tree insertion is the process of adding a key to a B-tree while maintaining its balanced structure and sorted order. B-trees are used in databases and file systems to store large blocks of sorted data efficiently.
Splitting, shifting, and promoting during B-tree key insertion:

• Start at the root and find the correct leaf node for the new key.
• nsert the key into the appropriate position in the node.
• If the node overflows (has too many keys), split it into two nodes.
• Promote the middle key to the parent node.
• Repeat the process up the tree if necessary, possibly growing the tree in height.

B-Tree Deletion

B-tree deletion removes a key from the tree while preserving its balanced structure. The process ensures that all nodes (except the root) maintain the required minimum number of keys.
Merging, borrowing, and rebalancing during B-tree key deletion:

• Locate and remove the key from a leaf or internal node.
• If the key is in an internal node, replace it with its in-order predecessor or successor.
• If a node has fewer keys than required after deletion, borrow a key from a sibling or merge nodes.
• Rebalance the tree by adjusting parent keys as needed.
• Continue this process up the tree to maintain B-tree properties.