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Binary Trees
Binary Trees

Succinct Data Structures - the David R. Cheriton School of Computer
Succinct Data Structures - the David R. Cheriton School of Computer

Program Design Including Data Structures, Fifth Edition
Program Design Including Data Structures, Fifth Edition

... Leaf: node that has no left and right children U is parent of V if there’s a branch from U to V There’s a unique path from root to every node Length of a path: number of branches on path Level of a node: number of branches on the path from the root to the node – The level of the root node of a binar ...
time-databases
time-databases

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... of Boolean functions into Ordered Binary Decision Diagrams. This enables us to transfer the efficient algorithms for OBDDs to our setting and thus provides the basis for new algorithms for evaluating path queries directly on compressed skeletons. ...
CPS 214: Networks and Distributed Systems Lecture 4
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I/O-E cient Dynamic Point Location in Monotone Planar Subdivisions
I/O-E cient Dynamic Point Location in Monotone Planar Subdivisions

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... UNIT III - HASHING AND SETS PART A 1. What is the need for hashing? Hashing is used to perform insertions, deletions and find in constant average time. 2. Define hash function? Each key is mapped into some number in the range 0 to Tablesize-1 and placed in the appropriate cell. The mapping is called ...
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Sec1 - METU

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Chapter 2: Using Objects
Chapter 2: Using Objects

Data Structures (CS 1520) Lecture 19 Name:________________
Data Structures (CS 1520) Lecture 19 Name:________________

... 1. An AVL Tree is a special type of Binary Search Tree (BST) that it is height balanced. By height balanced I mean that the height of every nodes left and right subtrees differ by at most one. This is enough to guarantee that a AVL tree with n nodes has a height no worst than Θ( log2 n ). Therefore, ...
Data Structures (810:052) Lecture 19 Name:________________
Data Structures (810:052) Lecture 19 Name:________________

... 1. An AVL Tree is a special type of Binary Search Tree (BST) that it is height balanced. By height balanced I mean that the height of every nodes left and right subtrees differ by at most one. This is enough to guarantee that a AVL tree with n nodes has a height no worst than Θ( log2 n ). Therefore, ...
DISJOINT SETS AND UNION/FIND ALGORITHM
DISJOINT SETS AND UNION/FIND ALGORITHM

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Range and multidimensional searches

CS235102 Data Structures - National Chi Nan University
CS235102 Data Structures - National Chi Nan University

Lecture 15 - Computer Science
Lecture 15 - Computer Science

... We can define a template function X with functions as parameters – which are called function parameters A function parameter can be simply written as Process f ( where Process is a template), and the forms and number of parameters for f are determined by the actual call of f inside the template func ...
Data Structures and Other Objects Using C++
Data Structures and Other Objects Using C++

- Strathprints
- Strathprints

... We can take an alternative view of types, not as synthesized measurements of data, bubbled outward, but as checked requirements of data, pushed inward. To enforce the invariant, let us rather ask “What should we tell the type of a subtree?”. The elements of the left subtree must precede the pivot in ...
Document
Document

Data Structures and Other Objects Using C++
Data Structures and Other Objects Using C++

... We can define a template function X with functions as parameters – which are called function parameters A function parameter can be simply written as Process f ( where Process is a template), and the forms and number of parameters for f are determined by the actual call of f inside the template func ...
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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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