a) Splay tree
b) B-tree
c) AVL tree
d) Red-black tree
hy B-trees are not balanced binary trees
- B-trees are indeed not balanced binary trees.
- Key difference: While they are balanced, they are not binary trees.
- Multiple children: Unlike binary trees, which have at most two children per node, B-trees can have multiple children (typically a minimum number defined by the order of the B-tree).
- Efficiency: B-trees are designed for efficient storage and retrieval of large datasets on disk, where reading and writing data from disk is relatively slow. By allowing multiple children per node, B-trees can reduce the number of disk accesses required for search, insert, and delete operations.
In summary, while B-trees maintain balance properties to optimize performance, they deviate from the strict binary structure of binary trees.
The other options:
- Splay trees, AVL trees, and Red-black trees are all types of balanced binary trees, meaning they have specific rules to maintain balance and ensure efficient operations.