scispace - formally typeset
Journal ArticleDOI

Storing a Sparse Table with 0(1) Worst Case Access Time

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TLDR
A data structure for representing a set of n items from a universe of m items, which uses space n+o(n) and accommodates membership queries in constant time and is easy to implement.
Abstract
A data structure for representing a set of n items from a umverse of m items, which uses space n + o(n) and accommodates membership queries m constant time is described. Both the data structure and the query algorithm are easy to ~mplement.

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Patent

Automated management of content servers based on change in demand

TL;DR: In this article, the authors propose methods and apparatus for detecting a change in demand for server resources across a load-bearing system having one or more content servers hosting identical content, the loadbearing system being connected to a network of content servers, and automatically modifying the number of content server on the load bearing system.
Posted Content

Dynamic Set Cover: Improved Algorithms & Lower Bounds

TL;DR: These are the first algorithms that obtain an approximation factor linear in $f$ for dynamic set cover, thereby almost matching the best bounds known in the offline setting and improving upon the previous best approximation of $O(f^2)$ in the dynamic setting.
Journal ArticleDOI

An Efficient Trie Construction for Natural Language Dictionaries

TL;DR: A compression method for long strings by using trie arc for single words by replacing long strings into the corresponding leaf node numbers of the trie using the double array structure.
Proceedings ArticleDOI

Entropy-Learned Hashing: Constant Time Hashing with Controllable Uniformity

TL;DR: Entropy-Learned Hashing models and estimates the randomness of the input data, and then creates data-specific hash functions that use only the parts of the data that are needed to differentiate the outputs, which dramatically reduces the computational cost of hashing and proves their output is similarly uniform to that of traditional hash functions.
Proceedings ArticleDOI

Optimal labelling schemes for adjacency, comparability, and reachability

TL;DR: In this article, the authors constructed asymptotically optimal adjacency labeling schemes for every hereditary class containing 2Ω(n 2) n-vertex graphs as n→ ∞.
References
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Journal ArticleDOI

Should Tables Be Sorted

TL;DR: It is shown that, in a rather general model including al1 the commonly-used schemes, $\lceil $ lg(n+l) $\rceil$ probes to the table are needed in the worst case, provided the key space is sufficiently large.
Journal ArticleDOI

Storing a sparse table

TL;DR: This work proposes a good worst-case method for storing a static table of n entries, each an integer between 0 and N - 1, and analysis shows why a simpler algorithm used for compressing LR parsing tables works so well.
Journal ArticleDOI

Perfect hashing functions: a single probe retrieving method for static sets

TL;DR: A refinement of hashing which allows retrieval of an item in a static table with a single probe is considered, and a rough comparison with ordinary hashing is given which shows that this method can be used conveniently in several practical applications.
Journal ArticleDOI

Reciprocal hashing: a method for generating minimal perfect hashing functions

TL;DR: A method is presented for building minimal perfect hash functions, i.e., functions which allow single probe retrieval from minimally sized tables of identifier sets, and a proof of existence for minimalperfect hash functions of a special type (reciprocal type) is given.