Web Reference: Sep 5, 2022 · Case 2: Insert in a node with two data elements whose parent contains only one data element. Case 3: Insert in a node with two data elements whose parent also contains two data elements. Together, the tree balance and the ordered nature of the nodes means that testing membership in, inserting an element into, and deleting an element from a 2-3 tree takes logarithmic time. Jan 17, 2026 · Insertion into a 2-3 tree is similar to insertion into a BST to the extent that the new record is placed in the appropriate leaf node. Unlike BST insertion, a new child is not created to hold the record being inserted, that is, the 2-3 tree does not grow downward.
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