Description: The deletion in a B-Tree is the process of removing a key from a B-Tree data structure while maintaining its properties. A B-Tree is a self-balancing data structure that keeps data sorted and allows searches, insertions, and deletions in logarithmic time. Deleting a key in a B-Tree can be a complex process, as several conditions must be considered to ensure that the tree continues to meet its properties. These properties include that all nodes, except the root, must have at least a minimum number of keys, and that the nodes must be ordered. When a key is deleted, it may be necessary to perform merges or redistributions of keys among sibling nodes to maintain these properties. This process ensures that the tree does not become inefficient and that search operations remain fast. Deletion can involve three main cases: deleting a key from a leaf node, deleting a key from an internal node that has an immediate child, and deleting a key from an internal node that does not have an immediate child. Each of these cases requires a different approach to ensure that the tree remains balanced and efficient after the deletion operation.
