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We study the {\em maximum duo-preservation string mapping} ({\sc Max-Duo}) problem, which is the complement of the well studied {\em minimum common string partition} ({\sc MCSP}) problem. Both problems have applications in many fields…

Data Structures and Algorithms · Computer Science 2017-02-08 Yao Xu , Yong Chen , Taibo Luo , Guohui Lin

Let G be a bipartite graph with positive integer weights on the edges and without isolated nodes. Let n, N and W be the node count, the largest edge weight and the total weight of G. Let k(x,y) be log(x)/log(x^2/y). We present a new…

Data Structures and Algorithms · Computer Science 2007-05-23 Ming-Yang Kao , Tak-Wah Lam , Wing-Kin Sung , Hing-Fung Ting

In the problem of minimal perfect hashing, we are given a size $k$ subset $\mathcal{A}$ of a universe of keys $[n] = \{1,2, \cdots, n\}$, for which we wish to construct a hash function $h: [n] \to [k]$ such that $h(\cdot)$ maps…

Information Theory · Computer Science 2026-04-14 Ryan Song , Emre Telatar

Consistent hashing is fundamental to distributed systems, but ring-based schemes can exhibit high peak-to-average load ratios unless they use many virtual nodes, while multi-probe methods improve balance at the cost of scattered memory…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-12-30 Yongjie Guan

Concerns regarding the scalability of the inter-domain routing have encouraged researchers to start elaborating a more robust Internet architecture. While consensus on the exact form of the solution is yet to be found, the need for a…

Networking and Internet Architecture · Computer Science 2013-12-09 Florin Coras , Jordi Domingo-Pascual , Darrel Lewis , Albert Cabellos-Aparicio

This paper explores combinatorial optimization for problems of max-weight graph matching on multi-partite graphs, which arise in integrating multiple data sources. Entity resolution-the data integration problem of performing noisy joins on…

Databases · Computer Science 2014-02-04 Duo Zhang , Benjamin I. P. Rubinstein , Jim Gemmell

In cache-aided networks, the server populates the cache memories at the users during low-traffic periods, in order to reduce the delivery load during peak-traffic hours. In turn, there exists a fundamental trade-off between the delivery…

Information Theory · Computer Science 2019-03-15 Abdelrahman M. Ibrahim , Ahmed A. Zewail , Aylin Yener

In the Maximum Duo-Preservation String Mapping problem we are given two strings and wish to map the letters of the former to the letters of the latter so as to maximise the number of duos. A duo is a pair of consecutive letters that is…

Data Structures and Algorithms · Computer Science 2017-05-31 Bartłomiej Dudek , Paweł Gawrychowski , Piotr Ostropolski-Nalewaja

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

This paper presents the first convergence result for random search algorithms to a subset of the Pareto set of given maximum size k with bounds on the approximation quality. The core of the algorithm is a new selection criterion based on a…

Optimization and Control · Mathematics 2011-11-10 Marco Laumanns

Many data structures support dictionaries, also known as maps or associative arrays, which store and manage a set of key-value pairs. A \emph{multimap} is generalization that allows multiple values to be associated with the same key. For…

Data Structures and Algorithms · Computer Science 2011-09-19 Elaine Angelino , Michael T. Goodrich , Michael Mitzenmacher , Justin Thaler

A distributed quantum storage code maps a quantum message to N storage nodes, of arbitrary specified sizes, such that the stored message is robust to an arbitrary specified set of erasure patterns. The sizes of the storage nodes, and…

Information Theory · Computer Science 2025-10-14 Hua Sun , Syed A. Jafar

Distributed systems often serve dynamic workloads and resource demands evolve over time. Such a temporal behavior stands in contrast to the static and demand-oblivious nature of most data structures used by these systems. In this paper, we…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-11-19 Arash Pourdamghani , Chen Avin , Robert Sama , Maryam Shiran , Stefan Schmid

We study a multi-access variant of the popular coded caching framework, which consists of a central server with a catalog of $N$ files, $K$ caches with limited memory $M$, and $K$ users such that each user has access to $L$ consecutive…

Information Theory · Computer Science 2020-03-13 Kota Srinivas Reddy , Nikhil Karamchandani

In this paper, the author proposes a series of multilevel double hashing schemes called cascade hash tables. They use several levels of hash tables. In each table, we use the common double hashing scheme. Higher level hash tables work as…

Data Structures and Algorithms · Computer Science 2015-06-26 Shaohua Li

Pattern Matching is a computationally intensive task used in many research fields and real world applications. Due to the ever-growing volume of data to be processed, and increasing link speeds, the number of patterns to be matched has…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-04-10 Xavier Bellekens , Christos Tachtatzis , Robert Atkinson , Craig Renfrew , Tony Kirkham

The cuckoo filter data structure of Fan, Andersen, Kaminsky, and Mitzenmacher (CoNEXT 2014) performs the same approximate set operations as a Bloom filter in less memory, with better locality of reference, and adds the ability to delete…

Data Structures and Algorithms · Computer Science 2016-04-21 David Eppstein

This paper addresses the problem of exponentially increasing sub-packetization with the number of users in a centralized coded caching system by introducing a new coded caching scheme inspired by the symmetric neighboring consecutive side…

Information Theory · Computer Science 2020-09-24 Anjana A. Mahesh , B. Sundar Rajan

In an $\alpha$-way set-associative cache, the cache is partitioned into disjoint sets of size $\alpha$, and each item can only be cached in one set, typically selected via a hash function. Set-associative caches are widely used and have…

Data Structures and Algorithms · Computer Science 2023-04-12 Michael A. Bender , Rathish Das , Martín Farach-Colton , Guido Tagliavini

We study a combinatorial problem called Minimum Maximal Matching, where we are asked to find in a general graph the smallest that can not be extended. We show that this problem is hard to approximate with a constant smaller than 2, assuming…

Computational Complexity · Computer Science 2018-11-22 Szymon Dudycz , Mateusz Lewandowski , Jan Marcinkowski