When using an empty 2-3 B+tree and inserting 9,7,3,8,5,15,12 Otrue false - the root node would...
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...
(true/false) All nodes in the right subtree of a node must be smaller in value than their parent (true/false) Each node in a binary search tree may contain zero, one, or two children nodes. (true/false) It is possible to recursively process a binary search tree to print all the data in a binary search tree in sorted order. (true/false) The value of a parent must be less than all its children. (true/false) All nodes in the right subtree of a...
True or False? 1. In a 2-3 tree, the last node that splits is a leaf that already contains two entries. 2. In a red-black tree, a red node cannot have red children. 3. The vertices in a graph may only have one topological order. 4. In a weighted graph, the shortest path between two given vertices has the largest edge-weight sum.
1. Consider the B+ tree index. Every node can contain m entries, where 2s ms4 The root node is an exception: it allows 1 m s4. B+ tree 18 15 17 A. Show the B+ tree that would result from inserting data entries with key 31, 32, and 41 into the tree. B. Given the output of (A), show the B+ tree that would result from deleting the data entry with key 3 C. Given the output of (B), show...
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...
1. AVL tree is a tree with a node in the tree the height of the left and right subtree can differ by at most _, meaning every 2. The height of the AVL tree is_ (In Big-O notation) 3. (True False) Below tree is an AVL tree. 4. (True False) Both of the below trees are not AVL tree since they are not perfectly balanced. 5. Inserting a new node to AVL tree can violate the balance condition. For...
Draw an AVL tree (initially empty) at each step when inserting the following numbers in order: 1; 2; 5; 4; 6; 3; 10; 9; 7; 8 Now, draw the above AVL tree at each step when deleting the following numbers in order (assuming that the substitution on deleting a node is done by replacing it with the minimum in the right subtree): 4; 5; 6
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...
Recall from Assignment 2 the definition of a binary tree data structure: either an empty tree, or a node with two children that are trees. Let T(n) denote the number of binary trees with n nodes. For example T(3) 5 because there are five binary trees with three nodes: (a) Using the recursive definition of a binary tree structure, or otherwise, derive a recurrence equation for T(n). (8 marks) A full binary tree is a non-empty binary tree where every...
The first and second picture are the definition of 2-3 tree,3rd and 4th are the pre-condition and post-condition. Please use these question to solve problem 8,the last photo. 2-3 Trees: Definition Suppose that E is an ordered type, that is, a nonempty set of values that have a total order. A 2-3-tree, for type E, is a finite rooted tree T (like a binary search tree or a red-black tree) that satisfies the following 2-3 Tree Properties: (a) Every leaf...