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... size enough for an integer ( 2 locations since size of an integer is 2 bytes) is reserved for x. ...
I/O-efficient Point Location using Persistent B
I/O-efficient Point Location using Persistent B

... Preserves versions. In ordinary (ephemeral) data structures there is only one last version (every update changes the data structure so its state before the update can no longer be accessed) Each update creates a version The current version of the structure can be modified and all versions of the str ...
Wavelet Trees for All
Wavelet Trees for All

space-efficient data structures for collections of textual data
space-efficient data structures for collections of textual data

Introduction to Data Structure
Introduction to Data Structure

... We often speak of "extra" memory needed, not counting the memory needed to store the input itself. Again, we use natural (but fixed-length) units to measure this. ...
Index Tuning
Index Tuning

... 3. Use a dense index to cover critical queries 4. Don’t use an index if the time lost when inserting and updating overwhelms the time saved when ...
Succinct and Implicit Data Structures for Computational Geometry
Succinct and Implicit Data Structures for Computational Geometry

... to support partial matching, but its description can be easily rewritten to support geometric queries as follows. To construct this data structure, let C[0..n−1] be the array in which each element stores the coordinates of a point in N , and the construction algorithm reorders the elements of C to ...
Binary Search Trees
Binary Search Trees

... Data Structures and Programming Techniques ...
binary tree
binary tree

... Some basic and general data structures appear as elements of programming languages, e.g., as types: arrays, strings, sets, records, …) Some other: abstract data structures are more specialised and complex (stacks, queues, lists, trees, graphs, …) ...
Dynamic Fractional Cascading` ••
Dynamic Fractional Cascading` ••

... fractional cascading also supports insertions into and deletions from the lists efficiently. More specifically, we show that a search for a key in n lists takes time O(1og N +n log log N) and an insertion or deletion takes time O(log log N). Here N is the total size of all lists. If only insertions ...
Singly-Linked Lists
Singly-Linked Lists

... • It is most useful in the cases where you have one item and want to see all the items ...
linked list - UT Computer Science
linked list - UT Computer Science

... – self-referential: a node that has the ability to refer to another node of the same type, or even to refer to itself – node: contains data of any type, including a reference to another node of the same data type, or to nodes of different data types – Usually a list will have a beginning and an end; ...
Using persistent data structures for adding range
Using persistent data structures for adding range

... unique addresses. Such a memory location can be accessed in constant time if this address is known. We assume that the total number of updates that has to be carried out in the persistent data structure is known in advance. Call this number n. If n is not a prime, then we apply Theorem 2 with p the ...
Dynamic data structures for approximate Hausdorff distance in the
Dynamic data structures for approximate Hausdorff distance in the

... The first step is to compute a grid Gs of the ddimensional space composed of cells that are hypercubes with s = rε side length. For a cell c, another cell c0 is a neighbor of c if the minimum distance between the centers of c and c0 is less than or equal to r. We imagine that all the points that fal ...
Introduction to Query Processing and Optimization
Introduction to Query Processing and Optimization

... lg(br ) . This can be significantly more efficient than the linear search, particularly for a large number of records. S3. Search using a primary index on equality: With a B+-tree index, an equality comparison on a key attribute will have a worst-case cost of the height of the tree (in the index f ...
B + -Tree Index Files
B + -Tree Index Files

Deletion Without Rebalancing in Non-Blocking Self
Deletion Without Rebalancing in Non-Blocking Self

... fully inserted new keys into the tree so far and c is the number of INSERT operations that have inserted a new item but not yet terminated at this time. This data structure is designed for asynchronous systems where shared memory locations can be accessed by multiple processes. We conducted experime ...
Data Structures Lab Manual – BE II/IV – I Sem
Data Structures Lab Manual – BE II/IV – I Sem

... A hash function: This is a function that converts a piece of data into an integer. Sometimes we call this integer a hash value. The integer should be at least as big as the hash table. When we store a value in a hash table, we compute its hash value with the hash function, take that value modulo the ...
Dynamic FM-Index for a Collection of Texts with
Dynamic FM-Index for a Collection of Texts with

Data and Data Structures
Data and Data Structures

... explicitly consider the set from which the values may be selected, in which case the data item consists of a name, a value and a set. In the latter case, the value must be an element of the set in question. A data item can also be thought of as a variable, as it has many of the characteristics of a ...
11. Linked lists
11. Linked lists

Data Structures for Restricted Triangular Range Searching
Data Structures for Restricted Triangular Range Searching

... and reporting queries in O(lg n) time with high probability. Even in case of failure the data structures do not answer queries incorrectly; instead they identify in O(lg n) time whether the given query can be answered. The key idea is to use the result by Aronov et al. [3] (also see [13, 17]) which ...
PPT
PPT

An Extensive Examination of Data Structures Using C# 2.0
An Extensive Examination of Data Structures Using C# 2.0

... Find the line(s) of code that perform the steps you are interested in counting. Put a 1 next to each of those lines. For each line with a 1 next to it, see if it is in a loop. If so, change the 1 to 1 times the maximum number of repetitions the loop may perform. If you have two or more nested loops, ...
CS 180 Problem Solving and OO Programming Fall 2010
CS 180 Problem Solving and OO Programming Fall 2010

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Interval tree

In computer science, an interval tree is a tree data structure to hold intervals. Specifically, it allows one to efficiently find all intervals that overlap with any given interval or point. It is often used for windowing queries, for instance, to find all roads on a computerized map inside a rectangular viewport, or to find all visible elements inside a three-dimensional scene. A similar data structure is the segment tree.The trivial solution is to visit each interval and test whether it intersects the given point or interval, which requires O(n) time, where n is the number of intervals in the collection. Since a query may return all intervals, for example if the query is a large interval intersecting all intervals in the collection, this is asymptotically optimal; however, we can do better by considering output-sensitive algorithms, where the runtime is expressed in terms of m, the number of intervals produced by the query. Interval trees have a query time of O(log n + m) and an initial creation time of O(n log n), while limiting memory consumption to O(n). After creation, interval trees may be dynamic, allowing efficient insertion and deletion of an interval in O(log n). If the endpoints of intervals are within a small integer range (e.g., in the range [1,...,O(n)]), faster data structures exist with preprocessing time O(n) and query time O(1+m) for reporting m intervals containing a given query point.
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