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Lower bound for the worst case
Lower bound for the worst case

Document
Document

- Free Documents
- Free Documents

A Simple and Efficient Union-Find
A Simple and Efficient Union-Find

... set A as a rooted tree TA which contains only parent links, and each element in A as a node of TA . The Union operation links the root of the shallower tree to the root of the taller tree (so the height will be increased only in a case of trees of equal height) in O(1) time. The Find operation climb ...
Chapter 10: Efficient Collections (skip lists, trees)
Chapter 10: Efficient Collections (skip lists, trees)

pm_quadtree_evan - UMD Department of Computer Science
pm_quadtree_evan - UMD Department of Computer Science

... partitions – you can figure their center point out on the fly based on the level of the tree and the known min/max partition sizes (Krznarich does this) Samet precomputes his partitions; only a substantial cost reduction if maximal region’s area is not a power of 2, since bit shifting is practically ...
Data structures and complexity
Data structures and complexity

... The search time depends on how deeply in the tree you have to go to find the object The depth of the tree depends on how it was constructed Worst case: Input was presorted" depth = n, complexity: O(n) Best case: Tree is balanced depth = log(n), complexity: O(log(n)) If input is random then it can be ...
Assignment I,II and III - MLR Institute of Technology
Assignment I,II and III - MLR Institute of Technology

... Write the non-recursive algorithm to traverse a tree ...
First-Solutions - Philadelphia University Jordan
First-Solutions - Philadelphia University Jordan

... C) If the following elements are inserted to the data structure in this order (15, 20, 77, 60 and 40) these elements should be stored in the data structure in the following order (15, 20, 40, 60 and 77) knowing that it is a linear data structure. Ordered list D) If the following elements are inserte ...
Midterm
Midterm

DATA STRUCTURES - UMD Department of Computer Science
DATA STRUCTURES - UMD Department of Computer Science

Lecture 11 Student Notes
Lecture 11 Student Notes

B Trees
B Trees

Representation Tree Structures by Dynamic Lists
Representation Tree Structures by Dynamic Lists

YEAR / SEM : II/ III
YEAR / SEM : II/ III

... • An insertion of new node into Left subtree of Left child(LL). • An insertion of new node into Right subtree of Left child(LR). • An insertion of new node into Left subtree of Right child(RL). • An insertion of new node into Right subtree of Right child(RR). 6. Define Rotation in AVL tree? Some mo ...
The Notorious PM Quadtree - UMD Department of Computer Science
The Notorious PM Quadtree - UMD Department of Computer Science

Search Trees for Strings
Search Trees for Strings

Chapter 5 : Trees
Chapter 5 : Trees

CS3114 (Fall 2012) PROGRAMMING ASSIGNMENT #2
CS3114 (Fall 2012) PROGRAMMING ASSIGNMENT #2

... placeholders to help direct search, they store no data. A leaf node is either empty, or stores a single sequence. Whenever you attempt to insert a new sequence and the insert process reaches a leaf node containing a sequence, that leaf node must split (just as in PR quadtree insertion). Whenever you ...
download
download

... • ChildCut  True if node has lost a child since it became a child of its current parent.  Set to false by remove min, which is the only operation that makes one node a child of another.  Undefined for a root node. ...
dist
dist

... • For 25 points, solve for N<100 and M<100 • For 40 points, solve for N<10000 and M<100000 ...
SKIPLISTS
SKIPLISTS

The data structures presented so far are linear in that items are one
The data structures presented so far are linear in that items are one

Lecture 16 Student Notes
Lecture 16 Student Notes

IAT 800
IAT 800

... computation takes  It’s ok if unimportant things run slow  Important stuff needs to go fast – Stuff that gets run all the time – “The Inner Loop” is a slang term I use ...
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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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