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Two mobile agents represented by points freely moving in the plane and starting at two distinct positions, have to meet. The meeting, called rendezvous, occurs when agents are at distance at most $r$ of each other and never move after this…

Data Structures and Algorithms · Computer Science 2020-05-05 Sébastien Bouchard , Yoann Dieudonné , Andrzej Pelc , Franck Petit

A team of mobile agents, starting from different nodes of an unknown network, possibly at different times, have to meet at the same node and declare that they have all met. Agents have different labels and move in synchronous rounds along…

Data Structures and Algorithms · Computer Science 2019-09-02 Sébastien Bouchard , Yoann Dieudonné , Andrzej Pelc

In the rendezvous problem, two parties with different labelings of the vertices of a complete graph are trying to meet at some vertex at the same time. It is well-known that if the parties have predetermined roles, then the strategy where…

Combinatorics · Mathematics 2016-09-07 Varsha Dani , Thomas P. Hayes , Cristopher Moore , Alexander Russell

A team of mobile agents, starting from distinct nodes of a network, have to meet at the same node and declare that they all met. Agents execute the same algorithm, which they start when activated by an adversary or by an agent entering…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-11-05 Stéphane Devismes , Yoann Dieudonné , Arnaud Labourel

We examine the problem of rendezvous, i.e., having multiple mobile agents gather in a single node of the network. Unlike previous studies, we need to achieve rendezvous in presence of a very powerful adversary, a malicious agent that moves…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-02-09 Shantanu Das , Flaminia L. Luccio , Euripides Markou

We study the rendezvous problem for two robots moving in the plane (or on a line). Robots are autonomous, anonymous, oblivious, and carry colored lights that are visible to both. We consider deterministic distributed algorithms in which…

Multiagent Systems · Computer Science 2012-11-28 Giovanni Viglietta

In the rendezvous problem, two computing entities (called \emph{agents}) located at different vertices in a graph have to meet at the same vertex. In this paper, we consider the synchronous \emph{neighborhood rendezvous problem}, where the…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-03-14 Ryota Eguchi , Naoki Kitamura , Taisuke Izumi

We study the task of Byzantine gathering in a network modeled as a graph. Despite the presence of Byzantine agents, all the other (good) agents, starting from possibly different nodes and applying the same deterministic algorithm, have to…

Data Structures and Algorithms · Computer Science 2018-01-24 Sébastien Bouchard , Yoann Dieudonné , Anissa Lamani

The aim of rendezvous in a graph is meeting of two mobile agents at some node of an unknown anonymous connected graph. In this paper, we focus on rendezvous in trees, and, analogously to the efforts that have been made for solving the…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-03-18 Pierre Fraigniaud , Andrzej Pelc

Coordinating the movement of multiple autonomous agents over a shared network is a fundamental challenge in algorithmic robotics, intelligent transportation, and distributed systems. The dominant approach, Multi-Agent Path Finding, relies…

Multiagent Systems · Computer Science 2026-02-04 Tesshu Hanaka , Nikolaos Melissinos , Hirotaka Ono

In rendezvous, two agents traverse network edges in synchronous rounds and have to meet at some node. In treasure hunt, a single agent has to find a stationary target situated at an unknown node of the network. We study tradeoffs between…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-06-29 Avery Miller , Andrzej Pelc

We introduce the rendezvous game with adversaries. In this game, two players, {\sl Facilitator} and {\sl Disruptor}, play against each other on a graph. Facilitator has two agents, and Disruptor has a team of $k$ agents located in some…

Discrete Mathematics · Computer Science 2021-03-12 Fedor V. Fomin , Petr A. Golovach , Dimitrios M. Thilikos

The difference between the speed of the actions of different processes is typically considered as an obstacle that makes the achievement of cooperative goals more difficult. In this work, we aim to highlight potential benefits of such…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-09-15 Ofer Feinerman , Amos Korman , Shay Kutten , Yoav Rodeh

In this paper, we consider the partial gathering problem of mobile agents in asynchronous unidirectional rings equipped with whiteboards on nodes. The partial gathering problem is a new generalization of the total gathering problem. The…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-09-11 Masahiro Shibata , Shinji Kawai , Fukuhito Ooshita , Hirotsugu Kakugawa , Toshimitsu Masuzawa

A group of mobile agents is given a task to explore an edge-weighted graph $G$, i.e., every vertex of $G$ has to be visited by at least one agent. There is no centralized unit to coordinate their actions, but they can freely communicate…

Discrete Mathematics · Computer Science 2019-02-20 Dorota Osula

Rendezvous aims at gathering all robots at a specific location, which is an important collaborative behavior for multi-robot systems. However, in an unknown environment, it is challenging to achieve rendezvous. Previous researches mainly…

Robotics · Computer Science 2024-12-04 Kun Song , Gaoming Chen , Wenhang Liu , Zhenhua Xiong

Motivated by an emerging framework of Autonomous Modular Vehicles, we consider the abstract problem of optimally routing two modules, i.e., vehicles that can attach to or detach from each other in motion on a graph. The modules' objective…

Optimization and Control · Mathematics 2023-02-13 Karan Jagdale , Melkior Ornik

Many combinatorial optimization problems can be formulated as the search for a subgraph that satisfies certain properties and minimizes the total weight. We assume here that the vertices correspond to points in a metric space and can take…

Data Structures and Algorithms · Computer Science 2024-12-25 Marin Bougeret , Jérémy Omer , Michael Poss

The gathering over meeting nodes problem asks the robots to gather at one of the pre-defined meeting nodes. The robots are deployed on the nodes of an anonymous two-dimensional infinite grid which has a subset of nodes marked as meeting…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-06-22 Subhash Bhagat , Abhinav Chakraborty , Bibhuti Das , Krishnendu Mukhopadhyaya

This study poses the feature correspondence problem as a hypergraph node labeling problem. Candidate feature matches and their subsets (usually of size larger than two) are considered to be the nodes and hyperedges of a hypergraph. A…

Computer Vision and Pattern Recognition · Computer Science 2011-07-14 Toufiq Parag , Vladimir Pavlovic , Ahmed Elgammal