Corpus ID: 237485411

All-Purpose Hashing

  title={All-Purpose Hashing},
  author={Michael A. Bender and Alex Conway and Martin Farach-Colton and William Kuszmaul and Guido Tagliavini},
Despite being one of the oldest data structures in computer science, hash tables continue to be the focus of a great deal of both theoretical and empirical research. A central reason for this is that many of the fundamental properties that one desires from a hash table are difficult to achieve simultaneously; thus many variants offering different trade-offs have been proposed. This paper introduces Iceberg hashing, a hash table that simultaneously offers the strongest known guarantees on a… Expand
On the Optimal Time/Space Tradeoff for Hash Tables
For nearly six decades, the central open question in the study of hash tables has been to determine the optimal achievable tradeoff curve between time and space. State-of-the-art hash tables offerExpand


Cache-Oblivious Hashing
This paper shows that linear probing, a classical collision resolution strategy for hash tables, can be easily made cache-oblivious but it only achieves tq=1+Θ(α/b) even if a truly random hash function is used, and demonstrates that the block probing algorithm achieves t q=1-1/2Ω(b), thus matching the cache-aware bound. Expand
Uniform Hashing in Constant Time and Optimal Space
This paper presents an almost ideal solution to this problem: a hash function h: U: Uarrow V that, on any set of $n$ inputs, behaves like a truly random function with high probability, can be evaluated in constant time on a RAM and can be stored in $(1+\epsilon)n\log |V| + O(n+\log \log |U|)$ bits. Expand
Fully De-Amortized Cuckoo Hashing for Cache-Oblivious Dictionaries and Multimaps
This work designs hashing-based indexing schemes for dictionaries and multimaps that achieve worst-case optimal performance for lookups and updates, with a small or negligible probability the data structure will require a rehash operation. Expand
Optimality in External Memory Hashing
This paper presents an algorithm that, in an asymptotic sense, achieves the best possible I/O and space complexities. Expand
Optimal Hashing in External Memory
A new external memory data structure is presented, the BOT, that matches the performance of the IP hash table, while retaining some of the simplicity of the BOAs. Expand
De-amortized Cuckoo Hashing: Provable Worst-Case Performance and Experimental Results
The theoretical analysis and experimental results indicate that the scheme is highly efficient, and provides a practical alternative to the only other known approach for constructing dynamic dictionaries with such worst case guarantees, due to Dietzfelbinger and Meyer auf der Heide. Expand
Space Efficient Hash Tables with Worst Case Constant Access Time
This is the first dictionary that has worst case constant access time and expected constant update time, works with (1 + ε)n space, and supports satellite information. Expand
Backyard Cuckoo Hashing: Constant Worst-Case Operations with a Succinct Representation
This paper construction is a two-level variant of cuckoo hashing, augmented with a ``backyard'' that handles a large fraction of the elements, together with a de-amortized perfect hashing scheme for eliminating the dependency on $\boldsymbol{n}$ memory words, and guarantees constant-time operations in the worst case with high probability. Expand
Analysis of Uniform Hashing
Earlier analyses of umform hashing are extended here to multlrecord buckets and three different situations are analysed: initial loadmg assuming uniform access frequencies, frequency loading assuming nonuniformAccess frequencies, and the dynamic behavior when msertions and deletions occur. Expand
Uniform deterministic dictionaries
  • M. Ruzic
  • Mathematics, Computer Science
  • TALG
  • 2008
A new analysis of the well-known family of multiplicative hash functions, and improved deterministic algorithms for selecting “good” hash functions are presented, for realization of deterministic dictionaries with fast lookups and reasonably fast updates. Expand