![Question 1 40 pts For this tree with root a, what is the height of the tree? [Select] Which of these is a level 2 vertex?[Select] What is the parent of f? Select Which of these is a leaf? Select]](http://img.homeworklib.com/questions/59e412e0-689c-11ec-8b4e-9fe4ed06cc42.png?x-oss-process=image/resize,w_560)
Homework Answers
1 Answer) height of the tree = 5
2 Answer) level 2 vertex = b
3 Answer) parent of f = d
4 Answer) leaf nodes in the given tree = g,h
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Question 1 40 pts For this tree with root a, what is the height of the...
Let T_1 be the rooted tree consisting of a single root vertex. For n greaterthanorequalto 2,...
Let T_1 be the rooted tree consisting of a single root vertex. For n greaterthanorequalto 2, let T_n be the rooted tree consisting of a root vertex with four children, where the subtree rooted at each child is the tree T_n - 1. (a) Calculate how many paths in T_n start from the root vertex and end at a leaf vertex. (b) What is the minimum number of bits (0's and 1's) required to represent a path in T_n that...
A balanced binary tree is a binary tree structure in which the left and right subtrees of every node differ
Data structures C++1- A balanced binary tree is a binary tree structure in which the left and right subtrees of every node differ in height by no more than 1 Out of the following choices, which is the minimum set of nodes, if removed, will make the BST balanced?2- Which of the following is true for Red-Black Trees ? Select all choices that apply! Select one or more: a. For each node in the tree, all paths from that node to any leaf nodes contain...
6. Given the diagram below, label the following: a. The root (4) b. A leaf c....
6. Given the diagram below, label the following: a. The root (4) b. A leaf c. The level numbers d. A parent e. The left child of the parent in part d f Is the tree full? Is the tree complete? g (1) What is this data structure called? (2) What are two ways we can represent this data structure in java.
Question 1 1 pts What is the maximum height of any AVL-tree with 7 nodes? Assume...
Question 1 1 pts What is the maximum height of any AVL-tree with 7 nodes? Assume that the height of a tree with a single node is 0. a N 5 Question 2 1 pts So get the sorted list from an AVL tree we need to do a postorder traversal inorder traversal preorder traversal
QUESTION 1 In a tree, a ____ is a node with successor nodes. root child descendent...
QUESTION 1 In a tree, a ____ is a node with successor nodes. root child descendent parent sibling QUESTION 2 In a tree, the ____ is a measure of the distance from a node to the root. count degree branch height level QUESTION 3 Which of the following is not a characteristic of a binary search tree? Each node has zero, one, or two successors. The preorder traversal processes the node first, then the left subtree, and then the right...
Which of the following is true for a Binary Tree? Question 7 options: A binary tree...
Which of the following is true for a Binary Tree? Question 7 options: A binary tree is a tree, since no node has more than 2 children, they are known as the left child and the right child The root node is the node without a parent A leaf node is a node without child nodes All of the above
Part 1 - Tree Height (8 pts) Add a method to the LinkedBinaryTree class that return:s...
Part 1 - Tree Height (8 pts) Add a method to the LinkedBinaryTree class that return:s the height of a tree. Like many tree methods, this will require a fairly simple method in LinkedBinaryTree and another method in BTNode that does most of the work. First, check to see if the root is null. If it is, then the tree is obviously empty and return 0. If it is not null, returrn root.height0. Part 2 - Decision Tree (16 pts)...
40. Consider the following tree: 48 29 81 14 37 67 88 17 55 85 97...
40. Consider the following tree: 48 29 81 14 37 67 88 17 55 85 97 N Figure 7 a) (1 mark) What is the height of this tree? b) (1 mark) What is the level of the node containing "17"? c) (1 mark) What is the value contained in this tree's root node? d) (1 mark) What are the ancestors of the node containing "81"? e) (1 mark) How many leaf nodes are contained in this tree? f) (1...
1. A node that is a descendant of another node is called its a. root b....
1. A node that is a descendant of another node is called its a. root b. sibling c. parent d. child 2. Any node in a tree that does not have any children is refered to as a a. leaf b. tail c. head d. root 3. A binary search tree is a binary tree with what property? a. An internal node is greater than all of its children b. An internal node is less than all of its children...
2. A complete binary tree is defined inductively as follows. A complete binary tree of height...
2. A complete binary tree is defined inductively as follows. A complete binary tree of height 0 consists of 1 node which is the root. A complete binary tree of height h +1 consists of two complete binary trees of height h whose roots are connected to a new root. Let T be a complete binary tree of height h. Prove that the number of leaves of the tree is 2" and the size of the tree (number of nodes...
Let T_1 be the rooted tree consisting of a single root vertex. For n greaterthanorequalto 2, let T_n be the rooted tree consisting of a root vertex with four children, where the subtree rooted at each child is the tree T_n - 1. (a) Calculate how many paths in T_n start from the root vertex and end at a leaf vertex. (b) What is the minimum number of bits (0's and 1's) required to represent a path in T_n that...
6. Given the diagram below, label the following: a. The root (4) b. A leaf c. The level numbers d. A parent e. The left child of the parent in part d f Is the tree full? Is the tree complete? g (1) What is this data structure called? (2) What are two ways we can represent this data structure in java.
Question 1 1 pts What is the maximum height of any AVL-tree with 7 nodes? Assume that the height of a tree with a single node is 0. a N 5 Question 2 1 pts So get the sorted list from an AVL tree we need to do a postorder traversal inorder traversal preorder traversal
Part 1 - Tree Height (8 pts) Add a method to the LinkedBinaryTree class that return:s the height of a tree. Like many tree methods, this will require a fairly simple method in LinkedBinaryTree and another method in BTNode that does most of the work. First, check to see if the root is null. If it is, then the tree is obviously empty and return 0. If it is not null, returrn root.height0. Part 2 - Decision Tree (16 pts)...
40. Consider the following tree: 48 29 81 14 37 67 88 17 55 85 97 N Figure 7 a) (1 mark) What is the height of this tree? b) (1 mark) What is the level of the node containing "17"? c) (1 mark) What is the value contained in this tree's root node? d) (1 mark) What are the ancestors of the node containing "81"? e) (1 mark) How many leaf nodes are contained in this tree? f) (1...
2. A complete binary tree is defined inductively as follows. A complete binary tree of height 0 consists of 1 node which is the root. A complete binary tree of height h +1 consists of two complete binary trees of height h whose roots are connected to a new root. Let T be a complete binary tree of height h. Prove that the number of leaves of the tree is 2" and the size of the tree (number of nodes...
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