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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Proceedings Article

Very Large Cliques are Easy to Detect

TL;DR: In this article, it was shown that the presence of an $(n-k)$-clique in an n-vertex graph can be detected by a monotone circuit with O(n 2 log n) gates.
Proceedings ArticleDOI

Reconciling similar sets

TL;DR: This work develops new encoding and decoding algorithms to address the complexities arising from allowing multiple difference blocks in sets whose symmetric difference consists of many blocks, each composed of elements that are within a given Hamming distance.
Posted Content

Finding heaviest H-subgraphs in real weighted graphs, with applications

TL;DR: The main results are new strongly polynomial algorithms for the MAX H-subgraph problem, and efficient algorithms for several related problems that are faster than any previously existing algorithms.
Journal ArticleDOI

A layered searchable encryption scheme with functional components independent of encryption methods.

TL;DR: A layered searchable encryption (LSE) scheme is proposed, which provides compatibility, flexibility, and security for various settings and functionalities, and two representative and novel constructions for ranked keyword query and range query are proposed.
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.