1) a) Using a set of values from 0 to 5, perform the following unions using union-by-height. When heights are the same, make the second tree a child of the first tree. union(find(4),find(5)) union(find(2),find(3)) union(find(0),find(1)) union(find(5),find(3)) union(find(1),find(5))   b) Illustrate the array for the final forest of part a) (note that roots are not simply -1 when using union-by-height).

Q: Equation and Order of: Insert and Delete from Recursive Tree Insert and Delete from Iterative Tree…

A: Sure! I'll provide the equations and orders (time complexities) for both insertion and deletion…

Q: Given an m-by-n chocolate bar, you need to break it into mn 1-by-1 pieces. You can break a bar only…

A: Breaking an existing piece horizontally or vertically will only increase the total number of pieces…

Q: A full binary tree of depth d has 2d-1 leaves.

A:

Q: Exercise 6. A binary tree T has height 8. (Recall that the height of a tree is the number of edges…

A: (a) The minimum number of nodes in a binary tree of height h is h + 1. Here, the binary tree T has a…

Q: Tree Traversal Use the following tree for the traversals in the next four question parts. Just list…

A: Tree:-   a print the tree preorder Depth first traversalSolutionPreorder→Root→Left→RightAccording…

Q: Let T be an undirected binary tree with n vertices. Show how you can walk through the tree by…

A: The diameter of a tree (sometimes called the width) is the number of nodes on the longest path…

Q: 6. Consider the following binary tree. 3 5 LO 5 8 1 2 10 1 7 6 a) List the nodes visited with a…

A: According to Bartleby Guidelines we need to answer only three sub questions so I have answered first…

Q: A / | \\ BC D | E K 71 L M PQ XIX

A: i did the answer in step 2

Q: What is the inorder traversal of this tree? L M) (Q) E (Z) (A P (J) H G) (K B S (T) (X)

A: Inorder Traversal: An inorder traversal strategy follows the Left Root Right approach. Here, Left…

Q: (d) Write down the signature (ID) of the node ƒ and g in the following tree:

A: The above question is solved in step 2 :-

Q: Give the tree resulting from a traversal of the graph below starting at vertex a using BFS and DFS.…

A: Graph traversal means traversing all the nodes of the graph and there are two types of traversals…

Q: 17 65 84 94 98 Node 84 is to be removed from the above BST Tree. The first step is to find the…

A: Here in this question we have given a BST and we have asked to remove node 84 from the BST and also…

Q: Assuming that the array shown below represents a binary tree of nodes holding Integer objects,…

A: The given tree is an AVL tree and Binary Search Tree only.

Q: (BI). Implement a Red-Black tree with only operation Insert(). Your program should read from a file…

A: A red black tree is a self balancing binary search tree that maintains balance by using color…

Q: 3. In a B*-tree, there can be at most 4 search-key values in each node. Assume that the height of…

A: B+ tree :It is  used to store the large amount of data  in the main memory. The size of main memory…

Binomial Heap

A binomial heap is a group of binomial trees. This data structure acts as a priority queue and implements the merge operation faster.