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Two mobile agents (robots) have to meet in an a priori unknown bounded terrain modeled as a polygon, possibly with polygonal obstacles. Agents are modeled as points, and each of them is equipped with a compass. Compasses of agents may be…

Computational Geometry · Computer Science 2015-05-14 Jurek Czyzowicz , David Ilcinkas , Arnaud Labourel , Andrzej Pelc

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

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

Two mobile agents, starting from different nodes of an unknown network, have to meet at the same node. Agents move in synchronous rounds using a deterministic algorithm. Each agent has a different label, which it can use in the execution of…

Data Structures and Algorithms · Computer Science 2018-12-10 Jérémie Chalopin , Yoann Dieudonné , Arnaud Labourel , Andrzej Pelc

Two mobile agents, starting from different nodes of an $n$-node network at possibly different times, have to meet at the same node. This problem is known as rendezvous. Agents move in synchronous rounds using a deterministic algorithm. In…

Data Structures and Algorithms · Computer Science 2014-10-07 Avery Miller , Andrzej Pelc

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

Two identical anonymous mobile agents have to meet at a node of the infinite oriented grid whose nodes are unlabeled. This problem is known as rendezvous. The agents execute the same deterministic algorithm. Time is divided into rounds, and…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-07-23 Younan Gao , Andrzej Pelc

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

In the symmetric rendezvous problem two players follow the same (randomized) strategy to visit one of $n$ locations in each time step $t=0,1,2,\dots$. Their goal is to minimize the expected time until they visit the same location and thus…

Optimization and Control · Mathematics 2026-04-03 Javier Cembrano , Felix Fischer , Max Klimm

The task of rendezvous (also called {\em gathering}) calls for a meeting of two or more mobile entities, starting from different positions in some environment. Those entities are called mobile agents or robots, and the environment can be a…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-03-21 Andrzej Pelc

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

In the classic Symmetric Rendezvous problem on a Line (SRL), two robots at known distance 2 but unknown direction execute the same randomized algorithm trying to minimize the expected rendezvous time. A long standing conjecture is that the…

Discrete Mathematics · Computer Science 2018-05-10 Konstantinos Georgiou , Jay Griffiths , Yuval Yakubov

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 introduce a variant of the deterministic rendezvous problem for a pair of heterogeneous agents operating in an undirected graph, which differ in the time they require to traverse particular edges of the graph. Each agent knows the…

Data Structures and Algorithms · Computer Science 2014-06-10 Dariusz Dereniowski , Ralf Klasing , Adrian Kosowski , Łukasz Kuszner

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

Two anonymous mobile agents navigate synchronously in an anonymous graph and have to meet at a node, using a deterministic algorithm. This is a symmetry breaking task called rendezvous, equivalent to the fundamental task of leader election…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-10-09 Andrzej Pelc , Ram Narayan Yadav

Two mobile agents, starting at arbitrary, possibly different times from arbitrary nodes of an unknown network, have to meet at some node. Agents move in synchronous rounds: in each round an agent can either stay at the current node or move…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-09-20 Samir Elouasbi , Andrzej Pelc

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

Two mobile agents (robots) with distinct labels have to meet in an arbitrary, possibly infinite, unknown connected graph or in an unknown connected terrain in the plane. Agents are modeled as points, and the route of each of them only…

Data Structures and Algorithms · Computer Science 2016-11-25 Jurek Czyzowicz , Arnaud Labourel , Andrzej Pelc

Suppose that a set of mobile agents, each with a predefined maximum speed, want to patrol a fence together so as to minimize the longest time interval during which a point on the fence is left unvisited. In 2011, Czyzowicz, G\k{a}sieniec,…

Data Structures and Algorithms · Computer Science 2021-01-20 Akitoshi Kawamura , Makoto Soejima
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