2.
Yes, by applying extended inorder traversal on T we can find sorted order of the nodes:
The algorithm is as follows:
EXT_INORDER(root):
2. (10 pts) Let T be a B-tree with a minimum degree (minimum branching factor) of...
2. (10 pts) Let T be a B-tree with a minimum degree (minimum branching factor) of t that holds n keys. Write the most efficient procedure you can to print the keys of T in sorted order. Then analyze the time complexity of your algorithm. Hint: Extend the procedure for inorder traversal of BST. 2. (10 pts) Let T be a B-tree with a minimum degree (minimum branching factor) of t that holds n keys. Write the most efficient procedure...
Here we study B-tree insertion and deletion. (10 pts) Consider the B-tree with minimum branching factor of t = 3 which is displayed below: Here we study B-tree insertion and deletion (a) (10 pts) Consider the B-tree with minimum branching factor of t-3 which is displayed below DGKNYV AC EF HI LM OPRST WX Show the B-tree that results when J and then Q are inserted. You are expected to give (and clearly label) the B-tree obtained after inserting J,...
a. The INORDER traversal output of a binary tree is U,N,I,V,E,R,S,I,T,Y and the POSTORDER traversal output of the same tree is N,U,V,R,E,T,I,S,I,Y. Construct the tree and determine the output of the PREORDER traversal output. b. One main difference between a binary search tree (BST) and an AVL (Adelson-Velski and Landis) tree is that an AVL tree has a balance condition, that is, for every node in the AVL tree, the height of the left and right subtrees differ by at most 1....
1.Fix any tree T on 10 vertices. Draw the recursion tree of the algorithm Find-size-node when run on the input T with a being the root of T. Can you use this to give a bound on the running time of T? 2. Consider the following problem. Check-BST • Input: A binary tree T • Output: 1 if T is a binary search tree, and 0 otherwise. Give an efficient algorithm for this problem. 3.Give a recursive algorithm for the...
2. Write a recursive algorithm which computes the number of nodes in a general tree. 3. Show a tree achieving the worst-case running time for algorithm depth. 4. Let T be a tree whose nodes store strings. Give an efficient algorithm that computes and prints, for every node v of T, the string stored at v and the height of the subtree rooted at v. Hin Consider 'decorating' the tree, and add a height field to each node (initialized to...
1) Extend the Binary Search Tree ADT to include a public method leafCount that returns the number of leaf nodes in the tree. 2) Extend the Binary Search Tree ADT to include a public method singleParent-Count that returns the number of nodes in the tree that have only one child. 3) The Binary search tree ADT is extended to include a boolean method similarTrees that receives references to two binary trees and determines whether the shapes of the trees are...
Could someone please summarize the following for my programming class? They are study questions for java What an association list is. How to test if an association list is empty. How to find the value associated with a key in an association list. How to add a key-value pair to an association list. How to delete a key-value pair from an association list. How efficient an association list is (using O notation). What a circular list is. What a circular...
Let S1 = { 1, 2, 3 }, S2 = { a, b }, S3 = { 4, 5, 6 }. Show a B-tree of minimum degree t = 3 that contains the 18 tuple keys in S1 × S2 × S3, ordered by the linear order defined in (a). Assume that a <2 b in S2. please show the 18 tuple at first which is a cartesian product of s1,s2 and s3 and insert them into a B tree...
need the answer to b not a. thanks! 2. (40 pts) Let A, B, and C be three strings each n characters long. We want to compute the longest subsequence that is common to all three strings. (a) Let us first consider the following greedy algorithm for this problem. Find the longest common subsequence between any pair of strings, namely, LCS(A, B). LCS(B,C), LCS(A, C). Then, find the longest common subsequence between this LCS and the 3rd string. That is,...
Problem 3: Bounded-Degree Spanning Trees (10 points). Recall the minimum spanning tree problem studied in class. We define a variant of the problem in which we are no longer concerned with the total cost of the spanning tree, but rather with the maximum degree of any vertex in the tree. Formally, given an undirected graph G = (V,E) and T ⊆ E, we say T is a k-degree spanning tree of G if T is a spanning tree of G,...