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This work concerns the general issue of combined optimality in terms of time and space complexity. In this context, we study the problem of (exact) counting resource-limited and passively mobile nodes in the model of population protocols,…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-11-23 James Aspnes , Joffroy Beauquier , Janna Burman , Devan Sohier

We introduce ppsim, a software package for efficiently simulating population protocols, a widely-studied subclass of chemical reaction networks (CRNs) in which all reactions have two reactants and two products. Each step in the dynamics…

Data Structures and Algorithms · Computer Science 2021-07-05 David Doty , Eric Severson

Solving the ground state and the ground-state properties of quantum many-body systems is generically a hard task for classical algorithms. For a family of Hamiltonians defined on an $m$-dimensional space of physical parameters, the ground…

Quantum Physics · Physics 2024-08-13 Yanming Che , Clemens Gneiting , Franco Nori

We consider the problem of multi-choice majority voting in a network of $n$ agents where each agent initially selects a choice from a set of $K$ possible choices. The agents try to infer the choice in majority merely by performing local…

Multiagent Systems · Computer Science 2019-07-17 Hamidreza Bandealinaeini , Saber Salehkaleybar

We consider the Relative-Majority Problem (also known as Plurality), in which, given a multi-agent system where each agent is initially provided an input value out of a set of $k$ possible ones, each agent is required to eventually compute…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-01-23 Emanuele Natale , Iliad Ramezani

We consider the population protocol model where indistinguishable state machines, referred to as agents, communicate in pairs. The communication graph specifies potential interactions (\ie communication) between agent pairs. This paper…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-08-26 Haruki Kanaya , Yuichi Sudo

Recently, the predicate detection problem was shown to be in the parallel complexity class NC. In this paper, we give the first work-optimal parallel algorithm to solve the predicate detection problem on a distributed computation with $n$…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-12-03 Rohan Garg

We propose a new theoretical model for passively mobile Wireless Sensor Networks. We call it the PALOMA model, standing for PAssively mobile LOgarithmic space MAchines. The main modification w.r.t. the Population Protocol model is that…

Distributed, Parallel, and Cluster Computing · Computer Science 2010-04-21 Ioannis Chatzigiannakis , Othon Michail , Stavros Nikolaou , Andreas Pavlogiannis , Paul G. Spirakis

Given a set of $m$ points and a set of $n$ lines in the plane, we consider the problem of computing the faces of the arrangement of the lines that contain at least one point. In this paper, we present an $O(m^{2/3}n^{2/3}+(n+m)\log n)$ time…

Computational Geometry · Computer Science 2026-03-06 Haitao Wang

We study the problem of how to coordinate the actions of independent agents in a distributed system where message arrival times are unbounded, but are determined by an exponential probability distribution. Asynchronous protocols executed in…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-11-10 Ariel Livshits , Yoram Moses

We consider distributed plurality consensus in a complete graph of size $n$ with $k$ initial opinions. We design an efficient and simple protocol in the asynchronous communication model that ensures that all nodes eventually agree on the…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-02-23 Robert Elsässer , Tom Friedetzky , Dominik Kaaser , Frederik Mallmann-Trenn , Horst Trinker

In this paper, we consider the problem of partitioning a small data sample of size $n$ drawn from a mixture of $2$ sub-gaussian distributions. Our work is motivated by the application of clustering individuals according to their population…

Statistics Theory · Mathematics 2023-01-05 Shuheng Zhou

Population protocols are a well established model of computation by anonymous, identical finite state agents. A protocol is well-specified if from every initial configuration, all fair executions reach a common consensus. The central…

Logic in Computer Science · Computer Science 2018-07-31 Michael Blondin , Javier Esparza , Stefan Jaax , Philipp J. Meyer

As communication networks are growing at a fast pace, the need for more scalable approaches to operate such networks is pressing. Decentralization and locality are key concepts to provide scalability. Existing models for which local…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-12-04 Klaus-Tycho Foerster , Juho Hirvonen , Stefan Schmid , Jukka Suomela

We are concerned with a nonlinear nonautonomous model represented by an equation describing the dynamics of an age-structured population diffusing in a space habitat $O,$ governed by local Lipschitz vital factors and by a stochastic…

Analysis of PDEs · Mathematics 2020-04-22 Gabriela Marinoschi

We study the possibility of designing $N^{o(1)}$-round protocols for problems of substantially super-linear polynomial-time (sequential) complexity in the model of Massively Parallel Computation, where $N$ is the input size. We show that if…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-06 Andrzej Lingas

The classic algorithm [Papadimitriou, J.ACM '81] for IPs has a running time $n^{O(m)}(m\cdot\max\{\Delta,\|\textbf{b}\|_{\infty}\})^{O(m^2)}$, where $m$ is the number of constraints, $n$ is the number of variables, and $\Delta$ and…

Optimization and Control · Mathematics 2026-01-01 Hauke Brinkop , Hua Chen , Lin Chen , Klaus Jansen , Guochuan Zhang

By introducing a predictive mechanism with small-world connections, we propose a new motion protocol for self-driven flocks. The small-world connections are implemented by randomly adding long-range interactions from the leader to a few…

Data Analysis, Statistics and Probability · Physics 2009-02-03 Hai-Tao Zhang , Michael Z. Q. Chen , Tao Zhou

We investigate space-time trade-offs for population protocols in sparse interaction graphs. In complete interaction graphs, optimal space-time trade-offs are known for the leader election and exact majority problems. However, it has…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-02-19 Joel Rybicki , Jakob Solnerzik , Robin Vacus

We present a sound and complete method for the verification of qualitative liveness properties of replicated systems under stochastic scheduling. These are systems consisting of a finite-state program, executed by an unknown number of…

Logic in Computer Science · Computer Science 2020-07-03 Michael Blondin , Javier Esparza , Martin Helfrich , Antonín Kučera , Philipp J. Meyer
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