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In the graph exploration problem, a team of mobile computational entities, called agents, arbitrarily positioned at some nodes of a graph, must cooperate so that each node is eventually visited by at least one agent. In the literature, the…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-05-21 Giuseppe Antonio Di Luna , Stefan Dobrev , Paola Flocchini , Nicola Santoro

We consider the fundamental task of network exploration. A network is modeled as a simple connected undirected n-node graph with unlabeled nodes, and all ports at any node of degree d are arbitrarily numbered 0,.....,d-1. Each of two…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-01-25 Subhash Bhagat , Andrzej Pelc

We consider systems made of autonomous mobile robots evolving in highly dynamic discrete environment i.e., graphs where edges may appear and disappear unpredictably without any recurrence, stability, nor periodicity assumption. Robots are…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-03-30 Marjorie Bournat , Swan Dubois , Franck Petit

The gathering problem requires a set of mobile agents, arbitrarily positioned at different nodes of a network to group within finite time at the same location, not fixed in advanced. The extensive existing literature on this problem shares…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-04-12 Giuseppe Antonio Di Luna , Paola Flocchini , Linda Pagli , Giuseppe Prencipe , Nicola Santoro , Giovanni Viglietta

We study a distributed coordination mechanism for uniform agents located on a circle. The agents perform their actions in synchronised rounds. At the beginning of each round an agent chooses the direction of its movement from clockwise,…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-04-28 Leszek Gasieniec , Tomasz Jurdzinski , Russell Martin , Grzegorz Stachowiak

We study the problem of patrolling the nodes of a network collaboratively by a team of mobile agents, such that each node of the network is visited by at least one agent once in every $I(n)$ time units, with the objective of minimizing the…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-08-14 Shantanu Das , Giuseppe Antonio Di Luna , Leszek A. Gasieniec

We study the problem of rendezvous of two mobile agents starting at distinct locations in an unknown graph. The agents have distinct labels and walk in synchronous steps. However the graph is unlabelled and the agents have no means of…

Data Structures and Algorithms · Computer Science 2014-06-12 Shantanu Das , Dariusz Dereniowski , Adrian Kosowski , Przemyslaw Uznanski

We study the fundamental problem of graph exploration in dynamic graphs using mobile agents. We consider $1$-interval connected dynamic graphs, where the topology may change arbitrarily from round to round as long as the graph remains…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-15 Ashish Saxena , Anisur Rahaman Molla , Kaushik Mondal , Gokarna Sharma

We study the problem of multi-agent online graph exploration, in which a team of k agents has to explore a given graph, starting and ending on the same node. The graph is initially unknown. Whenever a node is visited by an agent, its…

Data Structures and Algorithms · Computer Science 2024-03-26 Erik van den Akker , Kevin Buchin , Klaus-Tycho Foerster

We consider the problem of exploring an unknown tree with a team of $k$ initially colocated mobile agents. Each agent has limited energy and cannot, as a result, traverse more than $B$ edges. The goal is to maximize the number of nodes…

Data Structures and Algorithms · Computer Science 2018-02-20 Evangelos Bampas , Jérémie Chalopin , Shantanu Das , Jan Hackfeld , Christina Karousatou

In a rendezvous task, some mobile agents dispersed in a network have to gather at an arbitrary common site. We consider the rendezvous problem on the infinite labeled line, with $2$ agents, without communication, and a synchronous notion of…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-02-26 Yann Bourreau , Ananth Narayanan , Alexandre Nolin

We investigate the exploration of networks by a mobile agent. It is long known that, without global information about the graph, it is not possible to make the agent halts after the exploration except if the graph is a tree. We therefore…

Data Structures and Algorithms · Computer Science 2015-05-05 Jérémie Chalopin , Emmanuel Godard , Antoine Naudin

We study the problem of deterministically exploring an undirected and initially unknown graph with $n$ vertices either by a single agent equipped with a set of pebbles, or by a set of collaborating agents. The vertices of the graph are…

Data Structures and Algorithms · Computer Science 2018-05-10 Yann Disser , Jan Hackfeld , Max Klimm

In this paper, we study collision-free graph exploration in an anonymous pot labeled network. Two identical mobile agents, starting from different nodes in $G$ have to explore the nodes of $G$ in such a way that for every node $v$ in $G$,…

Data Structures and Algorithms · Computer Science 2024-10-24 Sajal K. Das , Amit Kumar Dhar , Barun Gorain , Madhuri Mahawar

We consider the problem of collective exploration of a known $n$-node edge-weighted graph by $k$ mobile agents that have limited energy but are capable of energy transfers. The agents are initially placed at an arbitrary subset of nodes in…

Discrete Mathematics · Computer Science 2021-02-26 J. Czyzowicz , S. Dobrev , R. Killick , E. Kranakis , D. Krizanc , L. Narayanan , J. Opatrny , D. Pankratov , S. Shende

The graph exploration problem requires a group of mobile robots, initially placed arbitrarily on the nodes of a graph, to work collaboratively to explore the graph such that each node is eventually visited by at least one robot. One…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-01-15 Subhrangsu Mandal , Anisur Rahaman Molla , William K. Moses

In this paper we investigate the problem of the sudden disconnection of an edge in a discrete-time multi-agent consensus network. If the graph remains strongly connected, the multi-agent system still achieves consensus, but in general,…

Systems and Control · Electrical Eng. & Systems 2021-01-19 Gianfranco Parlangeli , Maria Elena Valcher

Moving an autonomous agent through an unknown environment is one of the crucial problems for robotics and network analysis. Therefore, it received a lot of attention in the last decades and was analyzed in many different settings. The graph…

Computational Complexity · Computer Science 2018-04-23 Hans-Joachim Böckenhauer , Janosch Fuchs , Walter Unger

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

We investigate two fundamental problems in mobile computing: exploration and rendezvous, with two distinct mobile agents in an unknown graph. The agents may communicate by reading and writing information on whiteboards that are located at…

Multiagent Systems · Computer Science 2024-07-08 Romain Cosson
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