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Ans:
Insertion into the B-tree:
1. First search is made for the place where the new record must be positioned. As soon as the keys are inserted, they are sorted into the appropriate order.
2. If the node can contain the new record, insert the new record at the suitable pointer so that number of pointers happens to be one more than the number of records.
3. If the node overflows because of an upper bound on the size of the node, splitting is needed. The node is divided into three parts; the middle record is passed up and inserted into parent, leaving two children at the back. If n is odd (n-1 keys in full node and the new target key), the median key int(n/2)+1 is placed into the parent node, the lower n/2 keys are placed in the left leaf and the higher n/2 keys are placed in the right leaf. If n is even, we may have left biased or right biased means one key can be more in left child or right child respectively.
4. Splitting may propagate up the tree because the parent, into which the divided record is added, it may overflow then it may be split. If the root is required to be divided, a new record is created with only two children.
QUESTION (a) Construct a binary tree for the following numbers assuming that a number greater than the node (starting from the root) goes to the left else it goes to the right.
Define Strictly Binary Tree Strictly Binary Tree: - If each non leaf node in binary tree has non empty left and right sub-trees , then the tree is known as a strictly binary t
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This is a k-ary position tree wherein all levels are filled from left to right. There are a number of specialized trees. They are binary trees, AVL-trees, binary search trees, 2
how to convert 12 hour format into 24 hour format using c program
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Implement multiple queues in a single dimensional array. Write algorithms for various queue operations for them.
null(nil) = true // nil refer for empty tree null(fork(e, T, T'))= false // e : element , T and T are two sub tree leaf(fork(e, nil, nil)) = true leaf(
Give example of assertion and abstract data type For illustration, consider Natural ADT whose carrier set is the set of non-negative integers and whose operations are the usual
Binary: Each node has one, zero, or two children. This assertion creates many tree operations efficient and simple. Binary Search : A binary tree where each and every left
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