Which one of the following statements is NOT correct about the B+ tree...
B Tree Structure for Indexing a Relational Database Table
Introduction:
The B tree is a popular data structure used for creating an index of a relational database table. It is a balanced tree that allows for efficient searching, insertion, and deletion operations. Each node in the B tree contains a range of key values and pointers to child nodes or data records. This data structure is widely used in databases to improve the performance of queries and data retrieval.
Statement Analysis:
Let's analyze each statement provided and determine which one is not correct about the B tree data structure used for creating an index of a relational database table.
a) B Tree is a height-balanced tree:
This statement is correct. The B tree is a height-balanced tree, meaning that all leaf nodes are at the same level. This property ensures that the tree remains balanced and that the search, insertion, and deletion operations have a time complexity of O(log n), where n is the number of nodes in the tree.
b) Non-leaf nodes have pointers to data records:
This statement is not correct. In a B tree, non-leaf nodes do not contain pointers to data records. Instead, they contain key values that act as separators or guides for searching through the tree. These key values help determine the path to follow in order to reach the desired data records.
c) Key values in each node are kept in sorted order:
This statement is correct. In a B tree, the key values in each node are kept in sorted order. This allows for efficient searching using binary search techniques. The sorted order of key values ensures that the tree remains balanced and that the search operations can be performed effectively.
d) Each leaf node has a pointer to the next leaf node:
This statement is correct. In a B tree, each leaf node contains a pointer to the next leaf node. This helps in efficiently traversing the entire tree in an ordered manner. By following the pointers from one leaf node to another, we can retrieve all the data records in sorted order.
Conclusion:
Out of the given statements, the statement that is NOT correct about the B tree data structure used for creating an index of a relational database table is option 'b'. Non-leaf nodes in a B tree do not have pointers to data records. Instead, they contain key values that guide the search for data records.
Which one of the following statements is NOT correct about the B+ tree...
Properties of B+ trees:
- B+ tree is height balance tree.
- Non leaf node has pointer to a node (leaf or non-leaf) and not pointer to data record
- Key value in each node is in sorted order.
- Leaf node has pointer to next leaf node.
Structure of non-leaf(internal) node of B+ tree: Structure of leaf of B+ tree:Option b is not correct.
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