Скачать или смотреть Case study based class | B Tree | data structures | SNS Institutions

#snsinstitutions #snsdesignthinkers #designthinking
A B-Tree is a self-balancing search tree widely used in databases and file systems to store and manage large volumes of data efficiently. It was introduced by Rudolf Bayer and Edward M. McCreight in 1972 and has since become fundamental for applications requiring disk-based storage access. Unlike binary search trees or AVL trees, which keep only one key per node, a B-Tree node can store multiple keys and have multiple children. This structure reduces the tree's height significantly, thereby minimizing disk I/O operations, which are expensive compared to in-memory operations. A B-Tree of order m satisfies the following properties: keys per node: Each node can have at most m-1 keys. Children per node: Each node can have at most m children. Balanced height: All leaves appear at the same level, ensuring balance. Key ordering: Keys in each node are sorted in ascending order. For example, in a B-Tree of order 4: Each node can have a maximum of 3 keys. Each node can have up to 4 children. This design ensures that the tree height remains low even for massive data sets, leading to fewer disk reads.