[Index structure: B+ tree and B tree]
(b). B+ tree index structure is said to be an improvement of B tree index structure. The most important distinction between them is that data record pointers exist in both internal and leaf nodes (i.e., blocks) for a B tree whereas only in the leaf nodes for a B+ tree. Explain why this distinction would make B+ tree a more efficient structure (in terms of index search speed) overall than a B tree
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[Index structure: B+ tree and B tree] (b). B+ tree index structure is said to be...
5. Draw the structure of B+ tree index with 3 levels from root to leaves when Index Blocking factor is 3, and the maximum fill factor is 100%. That is, the max number of Keys per Node = 3. Show the structure of each node in the B+ tree with the keys and (block) pointers as specific as possible where 3 keys in the root node are denoted as K-1, Ki, Ki+1.
Multi-Level Indexing. Construct a B+-tree for a data file that contains 10 records with the following key values, respectively: 23, 26,43,77,4,92 The index fan-out p 3, that is, each internal tree node of the B+-tree contains at most p-1 = 2 keys and p = 3 pointers; the underlying data file has a blocking factor pI-2, that is, each leaf of the B+-tree contains at most pI-2 data records. Assume that the tree is initially empty and records are added...
Consider the B+ tree index shown in Figure 1. Each intermediate node can hold up to five pointers and four key values. Each leaf can hold up to four records, and leaf nodes are doubly linked as usual, although these links are not shown in the figure. Answer the following questions. Show every step of the insertion and explain the process. 34.21-4 ostas 704 94 986 99-100-105 944954964974 LS Figure 1. (1). Insert a record with search key 109 into...
Question 3. (25 points) Consider the B+ tree index shown below. Each intermediate node can hold up to five pointers and four key values. Each leaf can hold up to four records, and leaf nodes are doubly linked as usual, although these links are not shown in the figure. If you can borrow from or merge with both siblings, choose the right sibling. Answer the following questions 3080 I1 35425065 9098 12 68 69 70 79 98 99 1001105 30...
Assume that you have built a dense B+-tree index on SSN, and the B+-tree's leaf nodes contain record ids pointing to data records in data file. Assume 10-byte long. Assume also that you built the tree by using bulk loading so that the nodes at each level were filled up as much as possible. 4. a. b. How many levels does the resulting tree have? For each level of the tree, how many nodes are at that level? How many...
Let T be a proper binary tree. Given a node v ∈ T, the imbalance of v, denoted imbalance(v), is defined as the difference, in absolute value, between the number of leaves of the left subtree of v and the number of leaves of the right subtree of v. (If v is a leaf, then imbalance(v) is defined to be 0.) Define imbalance(T) = maxv∈T imbalance(v). (a) Provide an upper bound to the imbalance of a proper binary tree with...
Summary You will write an application to build a tree structure called Trie for a dictionary of English words, and use the Trie to generate completion lists for string searches. Trie Structure A Trie is a general tree, in that each node can have any number of children. It is used to store a dictionary (list) of words that can be searched on, in a manner that allows for efficient generation of completion lists. The word list is originally stored...
Are my answers correct? Question 1 (Mandatory) (1 point) Saved Modern software systems are blurring the distinction between local files and web pages, which may be stored on a remote computer, so the amount of data that we might wish to search is virtually unlimited. Remarkably, the methods that we shall study can support search and insert operations on symbol tables containing trillions of items or more using only four or five references to small blocks of data. 1) True...
**Only need to answer question 27** Union(2,10) - So each key above is in its own set so if we perform union(2,10) im assuming it should make a set that contains both key such as s1 = {2, 10} or using an array for example -1 -1 2 10 -1 meaning vertices in own set then this should result in after union as -2 2 2 10 -2 being the number of vertices, positive 2 being the parent of 10...
Question 8 A = 23n + 36n2 B = 6 + nlog2(n) + n C = log2n + 36n2 Which one of the following is correct? A. TA = O(n2) TB = O(n) TC = O(log2n) B. TA = O(n2) TB = O(nlog2(n)) TC = O(n2) C. TA = O(n2) TB = O(+ nlog2(n)) TC = O(log2n) D. TA = O(n2) TB = O(n) TC = O(n2) 0.5 points Question 9 Three criteria are used to determine whether a data structure is...