Delete the key and borrow a key from the immediate sibling. There is an exact minimum number of keys in the node.There is more than the minimum number of keys in the node.The key to be deleted is present only at the leaf node not in the indexes (or internal nodes). Search the key to be deleted then follow the following steps. indexes) as well because the values are redundant in a B+ tree. While deleting a key, we have to take care of the keys present in the internal nodes (i.e. A node (except root node) should contain a minimum of ⌈m/2⌉ - 1 keys.A node should have a minimum of ⌈m/2⌉ children.A node can contain a maximum of m - 1 keys.A node can have a maximum of m children.Underflow is a situation when there is less number of keys in a node than the minimum number of keys it should hold.īefore going through the steps below, one must know these facts about a B+ tree of degree m. Decrease Key and Delete Node Operations on a Fibonacci Heapĭeleting an element on a B+ tree consists of three main events: searching the node where the key to be deleted exists, deleting the key and balancing the tree if required.
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