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In this work, we initiate the study of \emph{smoothed analysis} of population protocols. We consider a population protocol model where an adaptive adversary dictates the interactions between agents, but with probability $p$ every such…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-05-27 Gregory Schwartzman , Yuichi Sudo

Colouring sparse graphs under various restrictions is a theoretical problem of significant practical relevance. Here we consider the problem of maximizing the number of different colours available at the nodes and their neighbourhoods,…

Data Structures and Algorithms · Computer Science 2009-11-13 K. Y. Michael Wong , David Saad

We present a self-stabilizing leader election algorithm for arbitrary networks, with space-complexity $O(\max\{\log \Delta, \log \log n\})$ bits per node in $n$-node networks with maximum degree~$\Delta$. This space complexity is…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-02-27 Lélia Blin , Sébastien Tixeuil

Population protocols are a model of distributed computing, in which $n$ agents with limited local state interact randomly, and cooperate to collectively compute global predicates. An extensive series of papers, across different communities,…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-07-17 Dan Alistarh , James Aspnes , Rati Gelashvili

A dynamic bipartite matching model is given by a bipartite matching graph which determines the possible matchings between the various types of supply and demand items. Both supply and demand items arrive to the system according to a…

Discrete Mathematics · Computer Science 2020-09-11 Arnaud Cadas , Ana Bušić , Josu Doncel

We consider the model of population protocols, which can be viewed as a sequence of random pairwise interactions of $n$ agents (nodes). We show population protocols for two problems: the leader election and the exact majority voting. The…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-05-04 Andreas Bilke , Colin Cooper , Robert Elsaesser , Tomasz Radzik

A population protocol describes a set of state change rules for a population of $n$ indistinguishable finite-state agents (automata), undergoing random pairwise interactions. Within this very basic framework, it is possible to resolve a…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-04-19 Adrian Kosowski , Przemysław Uznański

We significantly improve known time bounds for solving the minimum cut problem on undirected graphs. We use a ``semi-duality'' between minimum cuts and maximum spanning tree packings combined with our previously developed random sampling…

Data Structures and Algorithms · Computer Science 2007-05-23 David R. Karger

We present a silent, self-stabilizing ranking protocol for the population protocol model of distributed computing, where agents interact in randomly chosen pairs to solve a common task. We are given $n$ anonymous agents, and the goal is to…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-04-15 Petra Berenbrink , Robert Elsässer , Thorsten Götte , Lukas Hintze , Dominik Kaaser

We study the scalability of consensus-based distributed optimization algorithms by considering two questions: How many processors should we use for a given problem, and how often should they communicate when communication is not free?…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-09-06 Konstantinos I. Tsianos , Sean Lawlor , Michael G. Rabbat

Dynamic optimization problems have gained significant attention in evolutionary computation as evolutionary algorithms (EAs) can easily adapt to changing environments. We show that EAs can solve the graph coloring problem for bipartite…

Neural and Evolutionary Computing · Computer Science 2020-05-29 Jakob Bossek , Frank Neumann , Pan Peng , Dirk Sudholt

We propose a self-stabilizing leader election (SS-LE) protocol on ring networks in the population protocol model. Given a rough knowledge $\psi = \lceil \log n \rceil + O(1)$ on the population size $n$, the proposed protocol lets the…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-05-16 Daisuke Yokota , Yuichi Sudo , Fukuhito Ooshita , Toshimitsu Masuzawa

The model of population protocols refers to a large collection of simple indistinguishable entities, frequently called {\em agents}. The agents communicate and perform computation through pairwise interactions. We study fast and space…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-05-15 Leszek Gąsieniec , Grzegorz Stachowiak , Przemysław Uznański

Self-stabilizing protocols enable distributed systems to recover correct behavior starting from any arbitrary configuration. In particular, when processors communicate by message passing, fake messages may be placed in communication links…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-02-14 Lélia Blin , Anaïs Durand , Sébastien Tixeuil

We present a tree structure algorithm for optimal control problems with state constraints. We prove a convergence result for a discrete time approximation of the value function based on a novel formulation of the constrained problem. Then…

Numerical Analysis · Mathematics 2020-09-29 Alessandro Alla , Maurizio Falcone , Luca Saluzzi

In this paper, we look at the problem of randomized leader election in synchronous distributed networks with a special focus on the message complexity. We provide an algorithm that solves the implicit version of leader election (where…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-01-03 Seth Gilbert , Peter Robinson , Suman Sourav

In the population protocol model, many problems cannot be solved in a self-stabilizing way. However, global knowledge, such as the number of nodes in a network, sometimes allows us to design a self-stabilizing protocol for such problems. In…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-05-25 Yuichi Sudo , Masahiro Shibata , Junya Nakamura , Yonghwan Kim , Toshimitsu Masuzawa

This technical note addresses the distributed fixed-time consensus protocol design problem for multi-agent systems with general linear dynamics over directed communication graphs. By using motion planning approaches, a class of distributed…

Systems and Control · Computer Science 2016-05-27 Yu Zhao , Yongfang Liu , Guanrong Chen

Population protocols are a relatively novel computational model in which very resource-limited anonymous agents interact in pairs with the goal of computing predicates. We consider the probabilistic version of this model, which naturally…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-09-20 Vladyslav Melnychuk

We study here the problem of determining the majority type in an arbitrary connected network, each vertex of which has initially two possible types. The vertices may have a few additional possible states and can interact in pairs only if…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-05-01 George B. Mertzios , Sotiris E. Nikoletseas , Christoforos L. Raptopoulos , Paul G. Spirakis