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pptx
pptx

... waiting in line to buy tickets allows a friend to “cut” into line at that position? • indices are not a good abstraction for describing a local position in some applications, because the index of an entry changes over time due to insertions or deletions that happen earlier in the sequence. ...
2 Different approaches
2 Different approaches

... In traditional database management systems (DBMSs) data is stored in the database and remain constant unless explicitly modified through an update. While this approach is well suited for many applications where data change in discrete steps, it is not suitable for applications with constantly changi ...
Cache-sensitive Memory Layout for Binary Trees.
Cache-sensitive Memory Layout for Binary Trees.

... subtree so that the root of the subtree is placed at the beginning of the TLB page (i.e., in the first Bl−1 -sized cache block). Then, for example, when a particular root-to-leaf path is traversed in a search, only d root nodes of these TLB-sized subtrees can be kept in the (set associative) Bl−1 -b ...
Heaps/Trees
Heaps/Trees

Document
Document

DHTs
DHTs

SeqIndex: Indexing Sequences by Sequential Pattern Analysis∗
SeqIndex: Indexing Sequences by Sequential Pattern Analysis∗

... size of Cq will be reduced very quickly. After traversing a path, we can start over from the root, pick the second smallest child node and perform the same operation until we get an answer set with acceptable size. We call this search method MaxSel since we always greedily select the path with the h ...
Cache Craftiness for Fast Multicore Key
Cache Craftiness for Fast Multicore Key

Indexing Structure for File
Indexing Structure for File

Red-black trees
Red-black trees

... pointers (as in a LinkedList) and trees. If we want to optimize the access, which primitive would you choose? An array, because access is in O(1). If we want to optimize the insertion, which primitive would you choose? Pointers with a shortcut to the tail. Inserting at the end will be O(1). ...
Introduction to Algorithms
Introduction to Algorithms

... Algorithms for solving “geometric problems” in 2D and higher. ...
Cache Craftiness for Fast Multicore Key-Value Storage - PDOS-MIT
Cache Craftiness for Fast Multicore Key-Value Storage - PDOS-MIT

... slice, namely keys with lengths 0 through 8 plus either one key with length > 8 or a link to a deeper trie layer.1 We ensure that all keys with the same slice are stored in the same border node. This simplifies and slims down interior nodes, which need not contain key lengths, and simplifies the mai ...
ch12m
ch12m

... Java Software Structures, 4th Edition, Lewis/Chase ...
On The Implementation of Recursive Data Structures for Cache
On The Implementation of Recursive Data Structures for Cache

Programming Constructs for Unstructured Data
Programming Constructs for Unstructured Data

pptx
pptx

... – Like Perfect Binary Search Trees, Perfect Skip Lists are too structured to support efficient updates. – Instead: design structure so that we expect 1/2 the items to be carried up to the next level – Skip Lists are a randomized data structure: the same sequence of inserts / deletes may produce diff ...
Dynamic Optimality---Almost
Dynamic Optimality---Almost

... 2. Interleave Lower Bound. The interleave bound is a lower bound on the time taken by any BST data structure to execute an access sequence X, dependent only on X. The particular version of the bound that we use is a slight variation of the first bound of Wilber [Wil89]. (Specifically, our lower-boun ...
Confluently Persistent Tries for Efficient Version Control
Confluently Persistent Tries for Efficient Version Control

... a finger at the root, moving a finger along the edge with a specified label, and moving a finger from a node to its parent. We assume that there are O(1) fingers in any single version of the trie; in practice, two fingers usually suffice. Each node has some constant amount of information which can ...
csc215-10-data-structures-part-1
csc215-10-data-structures-part-1

... Iterating Over a List ●Let's build a function that prints out all the items of a list. To do this: • we need to use a current pointer that will keep track of the node we are currently printing. • After printing the value of the node, we set the current pointer to the next node, and print again, unt ...
Sidebar: Data Structures Binary Search Tree
Sidebar: Data Structures Binary Search Tree

... call check ri right before completing. This helps you find a bug in your implementation as soon as it happens, as opposed to having to track it down based on incorrect query results. Because it is only used during debugging, check ri can be slower than the data structure’s main operations. For examp ...
from + 1
from + 1

... Size of the alphabet d = |S| ...
Lecture 12: Heaps, Priority Queues, Heapsort, Greedy Algorithms
Lecture 12: Heaps, Priority Queues, Heapsort, Greedy Algorithms

CS162 - Topic #7
CS162 - Topic #7

ADS@Unit-2[Balanced Trees] Unit II : Balanced Trees : AVL Trees
ADS@Unit-2[Balanced Trees] Unit II : Balanced Trees : AVL Trees

... Requirements: re-balancing must have O (log n) worst-case complexity Solution: Apply certain “rotation” operations AVL tree insertion: After inserting a node, it is necessary to check each of the node's ancestors for consistency with the rules of AVL. The balance factor is calculated as follows: bal ...
Compressed Suffix Trees with Full Functionality
Compressed Suffix Trees with Full Functionality

< 1 ... 34 35 36 37 38 39 40 41 42 ... 76 >

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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