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In this paper, we consider a multi-agent system consisting of mobile agents with second-order dynamics. The communication network is determined by the so-called topological interaction rule: agents interact with a fixed number of their…

Optimization and Control · Mathematics 2013-11-26 Samuel Martin

The paper addresses the problem of consensus seeking among second-order linear agents interconnected in a specific ring topology. Unlike the existing results in the field dealing with one-directional digraphs arising in various cyclic…

Multiagent Systems · Computer Science 2018-12-04 Sergei Parsegov , Pavel Chebotarev

Two mobile agents, starting from different nodes of a network modeled as a graph, and woken up at possibly different times, have to meet at the same node. This problem is known as rendezvous. We consider deterministic distributed rendezvous…

Data Structures and Algorithms · Computer Science 2023-11-23 Avery Miller , Andrzej Pelc

Robots with very limited capabilities are placed on the vertices of a graph and are required to move toward a single, common vertex, where they remain stationary once they arrive. This task is referred to as the GATHERING problem. Most of…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-02-10 Alfredo Navarra , Francesco Piselli

In this work, we study the problem of dispersion of mobile robots on dynamic rings. The problem of dispersion of $n$ robots on an $n$ node graph, introduced by Augustine and Moses Jr. [1], requires robots to coordinate with each other and…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-10-17 Ankush Agarwalla , John Augustine , William K. Moses , Madhav Sankar K. , Arvind Krishna Sridhar

We consider the task of rendezvous in networks modeled as undirected graphs. Two mobile agents with different labels, starting at different nodes of an anonymous graph, have to meet. This task has been considered in the literature under two…

Data Structures and Algorithms · Computer Science 2019-08-20 Sébastien Bouchard , Yoann Dieudonné , Andrzej Pelc , Franck Petit

The study of time-varying (dynamic) networks (graphs) is of fundamental importance for computer network analytics. Several methods have been proposed to detect the effect of significant structural changes in a time series of graphs. The…

Social and Information Networks · Computer Science 2017-07-25 Peter Wills , Francois G. Meyer

Consider a group of autonomous mobile computational entities, called agents, arbitrarily placed at some nodes of a dynamic but always connected ring. The agents neither have any knowledge about the size of the ring nor have a common notion…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-07-07 Archak Das , Kaustav Bose , Buddhadeb Sau

We consider the following problem - a group of mobile agents perform some task on a terrain modeled as a graph. In a given moment of time an adversary gets an access to the graph and positions of the agents. Shortly before adversary's…

Multiagent Systems · Computer Science 2016-11-15 Karol Gotfryd , Marek Klonowski , Dominik Pająk

Graphlet counting is an important problem as it has numerous applications in several fields, including social network analysis, biological network analysis, transaction network analysis, etc. Most of the practical networks are dynamic. A…

Data Structures and Algorithms · Computer Science 2023-08-29 Hriday G , Pranav Saikiran Sista , Apurba Das

Gathering is a fundamental task for multi-agent systems and the problem has been studied under various assumptions on the sensing capabilities of mobile agents. This paper addresses the problem for a group of agents that are identical and…

Multiagent Systems · Computer Science 2020-04-14 Ariel Barel , Thomas Dagès , Rotem Manor , Alfred M. Bruckstein

The Gathering problem for a swarm of robots asks for a distributed algorithm that brings such entities to a common place, not known in advance. We consider the well-known OBLOT model with robots constrained to move along the edges of a…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-09-09 Serafino Cicerone , Alessia Di Fonso , Gabriele Di Stefano , Alfredo Navarra

We consider the problem of aggregating data in a dynamic graph, that is, aggregating the data that originates from all nodes in the graph to a specific node, the sink. We are interested in giving lower bounds for this problem, under…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-10-10 Quentin Bramas , Toshimitsu Masuzawa , Sébastien Tixeuil

A group of mobile agents, identical, anonymous, and oblivious (memoryless), having the capability to sense only the relative direction (bearing) to neighborhing agents within a finite visibility range, are shown to gather to a meeting point…

Multiagent Systems · Computer Science 2015-11-02 Levi-Itzhak Bellaiche , Alfred Bruckstein

A standard belief on emerging collective behavior is that it emerges from simple individual rules. Most of the mathematical research on such collective behavior starts from imperative individual rules, like always go to the center. But how…

Populations and Evolution · Quantitative Biology 2018-02-23 El Mahdi El Mhamdi , Rachid Guerraoui , Alexandre Maurer , Vladislav Tempez

It is well understood that the structure of a social network is critical to whether or not agents can aggregate information correctly. In this paper, we study social networks that support information aggregation when rational agents act…

Theoretical Economics · Economics 2020-11-11 Itai Arieli , Fedor Sandomirskiy , Rann Smorodinsky

This paper introduces a novel approach of clustering, which is based on group consensus of dynamic linear high-order multi-agent systems. The graph topology is associated with a selected multi-agent system, with each agent corresponding to…

Systems and Control · Computer Science 2017-06-13 Ning Cai , Chen Diao , M. Junaid Khan

In this paper, we revisit the problem of classical \textit{meeting times} of random walks in graphs. In the process that two tokens (called agents) perform random walks on an undirected graph, the meeting times are defined as the expected…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-05-22 Ryota Eguchi , Fukuhito Ooshita , Michiko Inoue , Sébastien Tixeuil

Natural, social, and artificial multi-agent systems usually operate in dynamic environments, where the ability to respond to changing circumstances is a crucial feature. An effective collective response requires suitable information…

Systems and Control · Computer Science 2022-09-29 David Mateo , Nikolaj Horsevad , Vahid Hassani , Mohammadreza Chamanbaz , Roland Bouffanais

Self-stabilization is a versatile technique to withstand any transient fault in a distributed system. Mobile robots (or agents) are one of the emerging trends in distributed computing as they mimic autonomous biologic entities. The…

Data Structures and Algorithms · Computer Science 2009-09-29 Lélia Blin , Maria Gradinariu Potop-Butucaru , Sébastien Tixeuil