(a) Describe the structure of a complete binary tree of heighth with maximum number of nod- Derive the minimum number of nodes, nmax (h), of this tree as a function of h. (b) Describe the structure of a complete binary tree of height h with minimum number of nod- Derive the maximum number of nodes, n(h), of this tree as a function of h. (c) Derive an expression for the height of a binary tree h in terms of the number of nodes., n.

Q: Think a full-binary tree having three levels (Level 0 to 2) and draw it , Now write results of the…

A:

Q: Consider a binary tree with 14 levels and a root node at depth 0.  What is the maximum number of…

A: Please refer to the following step for the complete solution of the problem above.

Q: The internal path length is used to measure the cost of a successful search, while the external path…

A: Hey, since multiple sub part questions posted, we will answer first three questions according to our…

Q: Fill in the blank spaces in the following statement based on the resulting AVL tree. (A NULL node…

A: AVL is a height balanced binary search tree in which all the nodes in the AVL contains the balancing…

Q: Given that a tree with a single node has a height of 1, how many nodes could possibly be included in…

A: Given: A balanced binary tree with a height of five, assuming that a tree with a single node would…

Q: 1 PLEASE QUESTION 1: (a) Draw a binary search tree (BST) after the insertion of keys: 8, 3, 2, 1,…

A: Dear Student, The answer to your question is given below -

Q: Express it as a binary tree along (x+xy) +(x/y) it takes on prefix, infix and postfix tasks.

A: To represent the expression (x+xy) +(x/y) as a binary tree, we can break it down into its individual…

Q: please do fast  As a function of the minimum degree t, what is the upper bound on the minimum…

A: In the realm of data structures, B-trees stand as powerful and versatile structures for organizing…

Q: Insert the integers 1 through 7  for a red-black tree showing each step and rotation. Be sure to…

A: Red-black tree is a self-balancing binary search tree characterized by:Balance: It maintains a…

Q: Create a divide-and-conquer method for determining the level count of a binary tree. Your method…

A: The divide-and-conquer algorithm can be defined as the it divides a problem into sub problems and…

Q: Suppose we have a binary tree whose inorder traversal is [8 6 7 3 2 1 4 5] and postorder traversal…

A: Solution for the given,  Suppose we have a binary tree whose inordwr traversal is 86732145, and post…

Q: What is the maximum height for an AVL tree of 100 nodes?

A: An AVL tree (Adelson-Belsky and Landis tree) is a self-balancing binary search tree. In an AVL tree,…

Q: Question: a. What is the MINIMUM number of nodes that could belong to a binary tree of height 5? b.…

A: Detailed explanation:A complete binary tree is a binary tree in which every level, except possibly…

Q: Let T be a full binary tree with 63 internal nodes. Height begins with 1. What is the maximum and…

A: A full binary tree is a type of binary tree where each node has either zero or two children. In…

Q: height of a full binary tree that contains 31 nodes

A: The height of full binary containing 31 nodes is 5.

Q: a pair, print the smaller element first. Order of different pairs doesn't matter. Input format : The…

A: Explanation:The code uses the BinaryTreeNode class to define the structure of a binary tree node.The…

Q: For a B-tree with height h and a minimum degree t, what is the minimum number of keys that can be…

A: A B-tree with height(h) and minimum degree(t), the minimum number of keys stored in the B-tree are…

Q: If a tree with a single node has a height of 1, how many nodes may there be in a balanced binary…

A: If the height of a tree with a single node is 1, then the resulting binary tree is five levels tall…

Q: Use the traversal method  (pre order )  draw the bst  (binary search tree ) of the number . Don't…

A: Given,   The nodes of the binary search tree in pre-order traversal: 99, 34, 90, 43, 3, 11, 91, 64,…

Q: Write a technique that rapidly identifies whether any two nodes u and v in a tree T whose root node…

A: The identification of whether two nodes in a tree are descendants or ancestors of each other is a…

Q: (g) (h Assume the above tree is a binary search tree, a) [5pt] Show the tree after removing node h;…

A: In binary search tree, each left child is less then the parent node and each right child is greater…

Q: For a binary tree the first node visited in in-order and post-order traversal is same. a) True b)…

A: NOTE  :-  Below i explain the answer in my own words by which you understand it well.   let us take…

Q: Considering the following AVL tree: 15 10 40 5 12 25 45 42 50

A: AVL tree is a balanced binary search tree. Balanced means balance factor of each and every node in…

Q: If a tree with a single node has height 1, how many nodes can there be in a binary tree that is both…

A: Given: Assuming a tree with a single node has a height of 1, a balanced binary tree of height 5 is…

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: Given a binary tree and an integer S, print all the pair of nodes whose sum equals S. Note: 1.…

A: To solve this problem, we can use a recursive approach and traverse the binary tree to find all…

Q: Write a technique that quickly identifies whether u is a descendant or ancestor of v in a tree T…

A: In a tree T containing root nodes s, we may use the following method to rapidly determine if a node…

Q: write the formula of calculating balance of a node in the AVL tree?

A: For an AVL tree, balance factor of every node can be any of the following:   -1 0  +1

Q: (a) Give ranks to each of the nodes below: (b) What is the type of the above tree?

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

Q: Consider a binary tree with 11 levels and a root node at depth 0. What is the maximum number of…

A: Solution - In the given question, we have to calculate the maximum number of nodes in the binary…

Q: O The word CUSTOM" is resulted from in-order traversal of a rooted binary tree. i. Draw the tree…

A: In in-order traversal, the root is traversed between left and right subtrees With height 2, there…

Q: Explain the significance of Presorting with the help of an example. Construct a 2-3 tree for the…

A: Presorting  means sorting of data before applying any algorithm in order to solve a problem more…

Q: For a multi-node tree, explain what is the difference between a leaf of tree and sub-tree?

A: For a multi-node tree, explain what is the difference between a leaf of tree and sub-tree?

Q: Explain the process of constructing a binary tree from its in-order and pre-order traversals.…

A: Creating a tree from its in-order and pre-order traversals is a concept in computer science and data…

Q: Write a technique that quickly determines if any two nodes u and v in a tree T whose root node is s…

A: A tree is a hierarchical data structure used in computer science to express connections between…

Q: Perform the given task. Tree

A: In computer science, a tree is an abstract data type that displays a hierarchical tree structure…

Q: of AVL-tree with 12 ght of a tree with

A:

Q: Given 8 red nodes, design a red-black tree with

A:

Q: Assume that each node in a binary tree is unique and that you are provided the order of items…

A: The reconstruction of the tree begins with a comparison of the first item in the preorder traversal…

Q: Q W R B M A K N. E

A: Tree traversal of the given tree

Q: Write a recursive C function that will generate a binary search tree from some given values by…

A: #include <stdio.h> #include <stdlib.h> struct node { int data; //node will store an…

Q: The height of a tree is the length of the longest root-to-leaf path in it. The maximum and minimum…

A: Introduction.   Given ,  Hight (t) = longest root to leaf path. The maximum, minimum number of nodes…

Q: Write a technique that quickly identifies whether two nodes u and v in a tree T whose root node is s…

A: The answer is given below step.