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Cuckoo hashing is an efficient technique for creating large hash tables with high space utilization and guaranteed constant access times. There, each item can be placed in a location given by any one out of k different hash functions. In…

Data Structures and Algorithms · Computer Science 2013-10-11 Nikolaos Fountoulakis , Konstantinos Panagiotou , Angelika Steger

Cuckoo Hashing is a hashing scheme invented by Pagh and Rodler. It uses $d\geq 2$ distinct hash functions to insert items into the hash table. It has been an open question for some time as to the expected time for Random Walk Insertion to…

Data Structures and Algorithms · Computer Science 2017-01-10 Alan Frieze , Tony Johansson

Most hash tables have an insertion time of $O(1)$, possibly qualified as expected and/or amortised. While insertions into cuckoo hash tables indeed seem to take $O(1)$ expected time in practice, only polylogarithmic guarantees are proven in…

Data Structures and Algorithms · Computer Science 2022-04-26 Stefan Walzer

Cuckoo hashing [4] is a multiple choice hashing scheme in which each item can be placed in multiple locations, and collisions are resolved by moving items to their alternative locations. In the classical implementation of two-way cuckoo…

Data Structures and Algorithms · Computer Science 2011-11-16 Ely Porat , Bar Shalem

The paradigm of many choices has influenced significantly the design of efficient data structures and, most notably, hash tables. Cuckoo hashing is a technique that extends this concept. There,we are given a table with $n$ locations, and we…

Data Structures and Algorithms · Computer Science 2009-10-28 Nikolaos Fountoulakis , Konstantinos Panagiotou

Cuckoo hashing is a powerful primitive that enables storing items using small space with efficient querying. At a high level, cuckoo hashing maps $n$ items into $b$ entries storing at most $\ell$ items such that each item is placed into one…

Cryptography and Security · Computer Science 2023-06-21 Kevin Yeo

Cuckoo hashing guarantees constant-time lookups regardless of table density, making it a viable candidate for high-density tables. Cuckoo hashing insertions perform poorly at high table densities, however. In this paper, we mitigate this…

Data Structures and Algorithms · Computer Science 2016-05-18 William Kuszmaul

The random walk $d$-ary cuckoo hashing algorithm was defined by Fotakis, Pagh, Sanders, and Spirakis to generalize and improve upon the standard cuckoo hashing algorithm of Pagh and Rodler. Random walk $d$-ary cuckoo hashing has low space…

Data Structures and Algorithms · Computer Science 2025-12-04 Tolson Bell , Alan Frieze

Hash tables are an essential data-structure for numerous networking applications (e.g., connection tracking, firewalls, network address translators). Among these, cuckoo hash tables provide excellent performance by allowing lookups to be…

Networking and Internet Architecture · Computer Science 2017-12-29 Nicolas Le Scouarnec

Cuckoo hashing with a stash is a robust multiple choice hashing scheme with high memory utilization that can be used in many network device applications. Unfortunately, for memory loads beyond 0.5, little is known on its performance. In…

Data Structures and Algorithms · Computer Science 2011-08-10 Yossi Kanizo , David Hay , Isaac Keslassy

A Perfect Hash Function (PHF) is a hash function that has no collisions on a given input set. PHFs can be used for space efficient storage of data in an array, or for determining a compact representative of each object in the set. In this…

Data Structures and Algorithms · Computer Science 2022-11-09 Hans-Peter Lehmann , Peter Sanders , Stefan Walzer

Cuckoo hashing is a common hashing technique, guaranteeing constant-time lookups in the worst case. Adding a stash was proposed by Kirsch, Mitzenmacher, and Wieder at SICOMP 2010, as a way to reduce the probability of failure (i.e., the…

Data Structures and Algorithms · Computer Science 2023-01-03 Brice Minaud , Charalampos Papamanthou

It is shown that for cuckoo hashing with a stash as proposed by Kirsch, Mitzenmacher, and Wieder (2008) families of very simple hash functions can be used, maintaining the favorable performance guarantees: with stash size $s$ the…

Data Structures and Algorithms · Computer Science 2012-04-20 Martin Aumüller , Martin Dietzfelbinger , Philipp Woelfel

Cuckoo hashing is a highly practical dynamic dictionary: it provides amortized constant insertion time, worst case constant deletion time and lookup time, and good memory utilization. However, with a noticeable probability during the…

Data Structures and Algorithms · Computer Science 2009-03-04 Yuriy Arbitman , Moni Naor , Gil Segev

Although cuckoo hashing has significant applications in both theoretical and practical settings, a relevant downside is that it requires lookups to multiple locations. In many settings, where lookups are expensive, cuckoo hashing becomes a…

Data Structures and Algorithms · Computer Science 2011-04-28 Martin Dietzfelbinger , Michael Mitzenmacher , Michael Rink

Finding heavy hitters in databases and data streams is a fundamental problem with applications ranging from network monitoring to database query optimization, machine learning, and more. Approximation algorithms offer practical solutions,…

Data Structures and Algorithms · Computer Science 2025-11-24 Vinh Quang Ngo , Marina Papatriantafilou

Dietzfelbinger and Weidling [DW07] proposed a natural variation of cuckoo hashing where each of $cn$ objects is assigned $k = 2$ intervals of size $\ell$ in a linear (or cyclic) hash table of size $n$ and both start points are chosen…

Data Structures and Algorithms · Computer Science 2019-12-18 Stefan Walzer

A dictionary (or map) is a key-value store that requires all keys be unique, and a multimap is a key-value store that allows for multiple values to be associated with the same key. We design hashing-based indexing schemes for dictionaries…

Data Structures and Algorithms · Computer Science 2011-07-25 Michael T. Goodrich , Daniel S. Hirschberg , Michael Mitzenmacher , Justin Thaler

A $d$-ary cuckoo hash table is an open-addressed hash table that stores each key $x$ in one of $d$ random positions $h_1(x), h_2(x), \ldots, h_d(x)$. In the offline setting, where all items are given and keys need only be matched to…

Data Structures and Algorithms · Computer Science 2025-01-07 William Kuszmaul , Michael Mitzenmacher

We study wear-leveling techniques for cuckoo hashing, showing that it is possible to achieve a memory wear bound of $\log\log n+O(1)$ after the insertion of $n$ items into a table of size $Cn$ for a suitable constant $C$ using cuckoo…

Data Structures and Algorithms · Computer Science 2014-04-02 David Eppstein , Michael T. Goodrich , Michael Mitzenmacher , Paweł Pszona
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