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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.
a) Given a digraph G = (V,E), prove that if we add a constant k to the length of every arc coming out from the root node r, the shortest path tree remains the same. Do this by usin
state difference between linear and non linear data structure. give one example scenario of each
a) Run your program for α = 0.05, 0.5, and 0.95. You can use n = 30, and W = 10. What is impact of increasing value of α on connectivity of G'? To answer this question, for each v
The above 3 cases are also considered conversely while the parent of Z is to the right of its own parent. All the different kind of cases can be illustrated through an instance. Le
Define Complete Binary Tree Complete Binary Tree:- A whole binary tree of depth d is that strictly binary tree all of whose leaves are at level D.
one to many one to one many to many many to one
If a node in a BST has two children, then its inorder predecessor has No right child
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Merge sort is a sorting algorithm which uses the basic idea of divide and conquers. This algorithm initially divides the array into two halves, sorts them separately and then merge
what are the properties of asyptotic notations
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