Lecture 4: Balanced Binary Search Trees
... Note 2. Splay Trees and Scapegoat Trees are “amortized”: adding up costs for several operations =⇒ fast on average. ...
... Note 2. Splay Trees and Scapegoat Trees are “amortized”: adding up costs for several operations =⇒ fast on average. ...
MCQ`S For Data Structure and Algorithms 1. Suppose that we have
... Every non-leaf node must have M subtrees Every non-leaf node must have M keys Every non-leaf node can have at most M subtrees Every non-leaf node can have at most M keys The Height of the tree is M. ...
... Every non-leaf node must have M subtrees Every non-leaf node must have M keys Every non-leaf node can have at most M subtrees Every non-leaf node can have at most M keys The Height of the tree is M. ...
Tree
... • Visit each node, followed by its children; we will choose to visit left child before right • Recursive algorithm for preorder traversal: • If tree is not empty, • Visit root node of tree • Perform preorder traversal of its left subtree • Perform preorder traversal of its right subtree • What is th ...
... • Visit each node, followed by its children; we will choose to visit left child before right • Recursive algorithm for preorder traversal: • If tree is not empty, • Visit root node of tree • Perform preorder traversal of its left subtree • Perform preorder traversal of its right subtree • What is th ...
Efficient Verified Red-Black Trees 1 September 2011 ANDREW W. APPEL
... An important and growing body of formally verified software (with machine-checked proofs) is written in pure functional languages that are embedded in logics and theorem provers; this is because such languages have tractable proof theories that greatly eases the verification task. Examples of such l ...
... An important and growing body of formally verified software (with machine-checked proofs) is written in pure functional languages that are embedded in logics and theorem provers; this is because such languages have tractable proof theories that greatly eases the verification task. Examples of such l ...
Chapter 13 Trees - Margaret M. Fleck
... Induction: Suppose that the claim is true for all full binary trees of height < h. Let T be a tree of height h (h > 0) which has the heap property. Since T is a full binary tree, its root r has two children p and q. Suppose that X is the subtree rooted at p and Y is the subtree rooted at q. Both X a ...
... Induction: Suppose that the claim is true for all full binary trees of height < h. Let T be a tree of height h (h > 0) which has the heap property. Since T is a full binary tree, its root r has two children p and q. Suppose that X is the subtree rooted at p and Y is the subtree rooted at q. Both X a ...
ppt part 1 - CS
... Motivation: binary search trees • A dynamic ADT that efficiently supports the following common operations on S: ...
... Motivation: binary search trees • A dynamic ADT that efficiently supports the following common operations on S: ...
Singly-linked List
... When removal occurs, the tree may become unbalanced. There is, therefore, a second stage, the tree re-balances itself if it needs to. ...
... When removal occurs, the tree may become unbalanced. There is, therefore, a second stage, the tree re-balances itself if it needs to. ...
B-Tree
... External Memory Data Structures • General-purpose data structures – Space: linear or near-linear (very important) – Query: logarithmic in B or 2 for any query (very important) – Update: logarithmic in B or 2 (important) • In some sense, more useful than I/O-algorithms – Structure stored in disk mos ...
... External Memory Data Structures • General-purpose data structures – Space: linear or near-linear (very important) – Query: logarithmic in B or 2 for any query (very important) – Update: logarithmic in B or 2 (important) • In some sense, more useful than I/O-algorithms – Structure stored in disk mos ...
Review Session
... node's left subtree holds values less than the node's value, and every right subtree holds values greater. A new node is added as a leaf. ...
... node's left subtree holds values less than the node's value, and every right subtree holds values greater. A new node is added as a leaf. ...
Sample Final
... bytes, and a pointer length of 10 bytes. This time, instead of using a ROCK-tree, we’ll use a B+ -tree. Answer the following questions, and be sure to show your work. (a) Estimate the number of these data entries that can be stored in a B+ -tree leaf node of size 4K, assuming we’re only storing key- ...
... bytes, and a pointer length of 10 bytes. This time, instead of using a ROCK-tree, we’ll use a B+ -tree. Answer the following questions, and be sure to show your work. (a) Estimate the number of these data entries that can be stored in a B+ -tree leaf node of size 4K, assuming we’re only storing key- ...
Final Exam - The University of Texas at Austin
... ____A search algorithm that is O(log log n) for an ordered array ____A data structure used to convert an infix expression to postfix notation ____A sorting technique that requires NO comparisons ____A systematic approach to trial and error solution searching ____A data structure that has the same da ...
... ____A search algorithm that is O(log log n) for an ordered array ____A data structure used to convert an infix expression to postfix notation ____A sorting technique that requires NO comparisons ____A systematic approach to trial and error solution searching ____A data structure that has the same da ...
No Slide Title
... • In general, it may not always be possible to find such a replacement node – deletion of an interior node N may require reinsertion of all nodes in the subtrees of N – In the worst case, this may require almost all nodes to be reinserted ...
... • In general, it may not always be possible to find such a replacement node – deletion of an interior node N may require reinsertion of all nodes in the subtrees of N – In the worst case, this may require almost all nodes to be reinserted ...