# b tree insertion

Since it is a balance tree, it searches for the position of the records in the file, and then it fetches/inserts /deletes the records. Let us understand the algorithm with an example tree of minimum degree ‘t’ as 3 and a sequence of integers 10, 20, 30, 40, 50, 60, 70, 80 and 90 in an initially empty B-Tree. Searching, inserting and deleting a record is done in the same way we have seen above. Hence B+ tree forms an efficient method to store the records. Since B Tree is a self-balancing tree, you cannot force insert a key into just any node. For this, we perform a search operation and we stop when we reach the leaf node. If we insert an element into one node, there are two situations. Let us illustrate the insertion by inserting 56 into the B-tree given in figure 2. The following algorithm is applicable while deleting an element from the B+ Tree: Firstly, we need to locate a leaf entry in the Tree that is holding the key and pointer. Ein B-Baum ist ein immer vollständig balancierter Baum, der Daten nach Schlüsseln sortiert speichert. Example of B-Tree − To insert an element, the idea is very similar to the BST, but we have to follow some rules. Don’t stop learning now. Let us first insert 10. The minimum order of the tree is 3 that means it can hold a maximum of 5 keys. Each node has m children, and m-1 elements. If the node has elements less than m-1, then the new element will be inserted directly into the node. There is a disadvantage of this proactive insertion though, we may do unnecessary splits. Attention reader! B-Tree Insertion B-Tree Deletion References: Introduction to Algorithms 3rd Edition by Clifford Stein, Thomas H. Cormen, Charles E. Leiserson, Ronald L. Rivest Please write comments if you find anything incorrect, or you want to share more information about the topic discussed above. The following algorithm applies: Run the search operation and find the appropriate place of insertion. Also, you will find working examples of inserting keys into a B-tree in C, C++, Java and Python. , delete the leaf entry from the Tree if the Leaf fulfills the exact conditions of record deletion. Even insertion/deletion in B+ tree does not take much time. Figure 3 highlights the appropriate leaf node to insert 56. Insert Operation. Initially root is NULL. The complexity of the delete procedure in the B+ Tree surpasses that of the insert and search functionality. Insertion into a B-tree In this tutorial, you will learn how to insert a key into a btree. Insert the new key at the proper location, but if the node has a maximum number of keys already: The node, along with a newly inserted key, will split from the middle element. The first step is to find the appropriate leaf node. Ein B-Baum (englisch B-tree) ist in der Informatik eine Daten-oder Indexstruktur, die häufig in Datenbanken und Dateisystemen eingesetzt wird.