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We study the almost-sure reachability problem in a distributed system obtained as the asynchronous composition of N copies (called processes) of the same automaton (called protocol), that can communicate via a shared register with finite…

Logic in Computer Science · Computer Science 2016-05-06 Patricia Bouyer , Nicolas Markey , Mickael Randour , Arnaud Sangnier , Daniel Stan

It is well-known that consensus (one-set agreement) and total order broadcast are equivalent in asynchronous systems prone to process crash failures. Considering wait-free systems, this article addresses and answers the following question:…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-05-16 Damien Imbs , Achour Mostéfaoui , Matthieu Perrin , Michel Raynal

We study $k$-clustering problems with lower bounds, including $k$-median and $k$-means clustering with lower bounds. In addition to the point set $P$ and the number of centers $k$, a $k$-clustering problem with (uniform) lower bounds gets a…

Data Structures and Algorithms · Computer Science 2021-08-18 Anna Arutyunova , Melanie Schmidt

String matching is the problem of deciding whether a given $n$-bit string contains a given $k$-bit pattern. We study the complexity of this problem in three settings. Communication complexity. For small $k$, we provide near-optimal upper…

Computational Complexity · Computer Science 2019-02-21 Alexander Golovnev , Mika Göös , Daniel Reichman , Igor Shinkar

We consider a set of k autonomous robots that are endowed with visibility sensors (but that are otherwise unable to communicate) and motion actuators. Those robots must collaborate to reach a sin- gle vertex that is unknown beforehand, and…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-05-02 Sayaka Kamei , Anissa Lamani , Fukuhito Ooshita , Sébastien Tixeuil

The maximum coverage problem is to select $k$ sets from a collection of sets such that the cardinality of the union of the selected sets is maximized. We consider $(1-1/e-\epsilon)$-approximation algorithms for this NP-hard problem in three…

Data Structures and Algorithms · Computer Science 2024-03-22 Amit Chakrabarti , Andrew McGregor , Anthony Wirth

The problem of multivalued consensus is fundamental in the area of fault-tolerant distributed computing since it abstracts a very broad set of agreement problems in which processes have to uniformly decide on a specific value v in V, where…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-04-08 Oskar Lundström , Michel Raynal , Elad Michael Schiller

In parameterized complexity, it is a natural idea to consider different generalizations of classic problems. Usually, such generalization are obtained by introducing a "relaxation" variable, where the original problem corresponds to setting…

Data Structures and Algorithms · Computer Science 2015-04-27 Ariel Gabizon , Daniel Lokshtanov , Michal Pilipczuk

In this paper we consider the problem of encoding data into \textit{repeat-free} sequences in which sequences are imposed to contain any $k$-tuple at most once (for predefined $k$). First, the capacity of the repeat-free constraint are…

Information Theory · Computer Science 2021-06-22 Ohad Elishco , Ryan Gabrys , Eitan Yaakobi , Muriel Médard

We consider the coded caching problem with an additional privacy constraint that a user should not get any information about the demands of the other users. We first show that a demand-private scheme for $N$ files and $K$ users can be…

Information Theory · Computer Science 2021-01-19 Chinmay Gurjarpadhye , Jithin Ravi , Sneha Kamath , Bikash Kumar Dey , Nikhil Karamchandani

A self-stabilizing simulation of a single-writer multi-reader atomic register is presented. The simulation works in asynchronous message-passing systems, and allows processes to crash, as long as at least a majority of them remain working.…

Distributed, Parallel, and Cluster Computing · Computer Science 2010-08-03 Noga Alon , Hagit Attiya , Shlomi Dolev , Swan Dubois , Maria Gradinariu , Sebastien Tixeuil

The weighted $k$-server problem is a generalization of the $k$-server problem in which the cost of moving a server of weight $\beta_i$ through a distance $d$ is $\beta_i\cdot d$. The weighted server problem on uniform spaces models caching…

Data Structures and Algorithms · Computer Science 2016-11-15 Ashish Chiplunkar , Sundar Vishwanathan

The "Subset Sum problem" is a very well-known NP-complete problem. In this work, a top-k variation of the "Subset Sum problem" is considered. This problem has wide application in recommendation systems, where instead of k best objects the k…

Data Structures and Algorithms · Computer Science 2021-08-27 Biswajit Sanyal , Subhashis Majumder , Priya Ranjan Sinha Mahapatra

As DNA data storage moves closer to practical deployment, minimizing sequencing coverage depth is essential to reduce both operational costs and retrieval latency. This paper addresses the recently studied Random Access Problem, which…

Information Theory · Computer Science 2026-01-13 Chen Wang , Eitan Yaakobi

We study the space complexity of implementing long-lived and one-shot adaptive renaming from multi-reader multi-writer registers, in an asynchronous distributed system with $n$ processes. As a result of an $f$-adaptive renaming algorithm…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-05-17 Maryam Helmi , Lisa Higham , Philipp Woelfel

In this work, we study progress conditions for commutativity-aware, linearizable implementations of shared objects. Motivated by the observation that commuting operations can be executed in parallel, we introduce…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-02-05 Petr Kuznetsov , Pierre Sutra , Guillermo Toyos-Marfurt

We study the dispersion problem in anonymous port-labeled graphs: $k \leq n$ mobile agents, each with a unique ID and initially located arbitrarily on the nodes of an $n$-node graph with maximum degree $\Delta$, must autonomously relocate…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-07-03 Debasish Pattanayak , Ajay D. Kshemkalyani , Manish Kumar , Anisur Rahaman Molla , Gokarna Sharma

We consider the scheduling problem on $n$ strategic unrelated machines when no payments are allowed, under the objective of minimizing the makespan. We adopt the model introduced in [Koutsoupias, Theory Comput. Syst. (2014)] where a machine…

Computer Science and Game Theory · Computer Science 2018-12-05 Yiannis Giannakopoulos , Elias Koutsoupias , Maria Kyropoulou

We study the consensus problem in a synchronous distributed system of $n$ nodes under an adaptive adversary that has a slightly outdated view of the system and can block all incoming and outgoing communication of a constant fraction of the…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-05-03 Peter Robinson , Christian Scheideler , Alexander Setzer

A $k$-uniform hypergraph with $n$ vertices is an $(n,k,\ell)$-omitting system if it does not contain two edges whose intersection has size exactly $\ell$. If in addition it does not contain two edges whose intersection has size greater than…

Combinatorics · Mathematics 2021-01-13 Tom Bohman , Xizhi Liu , Dhruv Mubayi