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Binary Search Trees
Binary Search Trees

Document
Document

... Using the union-by-rank heuristic and path compression, show the result from the following series of equivalences on a set of objects indexed by the values 1 through 16, assuming initially that each element in the set is in an equivalence class containing it alone. When the ranks of the two trees ar ...
Node
Node

CS-240 Data Structures
CS-240 Data Structures

Trees
Trees

tree
tree

... A Rooted Tree is one where we designate one node as the root In computer science we normally reserve the term tree to refer to rooted trees. The more general structure is a free tree ...
ppt presentation
ppt presentation

... is the focus of a rotation or PANIC during this time interval.  It is possible to choose C large enough in the algorithm INSERTB and DELETEB to guaranty that these algorithm never apply the PANIC block to a node of rank greater than max(3ξ,9). ...
Data structures & ANALYSIS OF ALGORITHMS
Data structures & ANALYSIS OF ALGORITHMS

... queue. There are two variations of a deque, namely, input restricted deque and output restricted deque. • The input restricted deque allows insertion at one end (it can be either ...
(6-up)
(6-up)

pptx
pptx

Practical Session 7
Practical Session 7

Algorithm Design CS 515 Fall 2014 Sample Midterm Questions – Solutions
Algorithm Design CS 515 Fall 2014 Sample Midterm Questions – Solutions

binary tree
binary tree

... Binary Trees (4/9)  Properties of binary trees  Lemma 5.1 [Maximum number of nodes]: 1. The maximum number of nodes on level i of a binary tree is 2i-1, i 1. 2. The maximum number of nodes in a binary tree of depth k is 2k-1, k1.  Lemma 5.2 [Relation between number of leaf nodes and degree-2 n ...
lec_B_Tree
lec_B_Tree

Binary Trees - CIS @ UPenn
Binary Trees - CIS @ UPenn

Retrieval2
Retrieval2

... A Word of Warning About Deletion •In databases frequently deletion is not done immediately because it is so time-consuming. •Sometimes they don’t even do insertions immediately! •Instead they keep a log with all deletions (and additions), and periodically (i.e., every night, weekend), the log is tr ...
Slides
Slides

ppt
ppt

I Semester I, 2007-08 Submitted By :Y6279 and Y6154
I Semester I, 2007-08 Submitted By :Y6279 and Y6154

B + Tree
B + Tree

BINARY SEARCH TREE PERFORMANCE
BINARY SEARCH TREE PERFORMANCE

... balanced. Here is a summary: The first to be invented was the AVL tree, named for Adelson-Velskii and Landis who invented it in 1962. The workings of the AVL scheme are visualized in David Galles' tool. For an explanation of this scheme, see Weiss. 5 The scheme your book covers in Chapter 9 is known ...
Lecture 8 1 Overview 2 Motivation for Binary Search Trees
Lecture 8 1 Overview 2 Motivation for Binary Search Trees

ppt - Courses
ppt - Courses

... • B-Trees are always balanced. • B-Trees keep similar-valued records together on a disk page, which takes advantage of locality of reference. • B-Trees guarantee that every node in the tree will be full at least to a certain minimum percentage. – This improves space efficiency while reducing the typ ...
Part 2 - B-Tree
Part 2 - B-Tree

Succinct tree representations
Succinct tree representations

< 1 ... 50 51 52 53 54 55 56 57 58 ... 62 >

Red–black tree

A red–black tree is a binary search tree with an extra bit of data per node, its color, which can be either red or black. The extra bit of storage ensures an approximately balanced tree by constraining how nodes are colored from any path from the root to the leaf. Thus, it is a data structure which is a type of self-balancing binary search tree.Balance is preserved by painting each node of the tree with one of two colors (typically called 'red' and 'black') in a way that satisfies certain properties, which collectively constrain how unbalanced the tree can become in the worst case. When the tree is modified, the new tree is subsequently rearranged and repainted to restore the coloring properties. The properties are designed in such a way that this rearranging and recoloring can be performed efficiently.The balancing of the tree is not perfect but it is good enough to allow it to guarantee searching in O(log n) time, where n is the total number of elements in the tree. The insertion and deletion operations, along with the tree rearrangement and recoloring, are also performed in O(log n) time.Tracking the color of each node requires only 1 bit of information per node because there are only two colors. The tree does not contain any other data specific to its being a red–black tree so its memory footprint is almost identical to a classic (uncolored) binary search tree. In many cases the additional bit of information can be stored at no additional memory cost.
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