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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

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

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 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

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

Hedonic games model settings in which a set of agents have to be partitioned into groups which we call coalitions. In the enemy aversion model, each agent has friends and enemies, and an agent prefers to be in a coalition with as few…

Computer Science and Game Theory · Computer Science 2025-02-20 Martin Durand , Laurin Erlacher , Johanne Müller Vistisen , Sofia Simola

A set S of vertices of a graph is a defensive alliance if, for each element of S, the majority of its neighbors is in S. The problem of finding a defensive alliance of minimum size in a given graph is NP-hard and there are polynomial-time…

Computational Complexity · Computer Science 2017-07-17 Bernhard Bliem , Stefan Woltran

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

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 (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

In the Multiagent Path Finding problem (MAPF for short), we focus on efficiently finding non-colliding paths for a set of $k$ agents on a given graph $G$, where each agent seeks a path from its source vertex to a target. An important…

Computational Complexity · Computer Science 2023-12-18 Foivos Fioravantes , Dušan Knop , Jan Matyáš Křišťan , Nikolaos Melissinos , Michal Opler

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

The rendezvous task calls for two mobile agents, starting from different nodes of a network modeled as a graph to meet at the same node. Agents have different labels which are integers from a set $\{1,\dots,L\}$. They wake up at possibly…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-03-11 Subhash Bhagat , Andrzej Pelc

We consider a new type of asymmetric rendezvous search problem in which Agent II needs to give Agent I a `gift' which can be in the form of information or material. The gift can either be transfered upon meeting, as in traditional…

Computer Science and Game Theory · Computer Science 2016-11-17 Pierre Leone , Steve Alpern

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

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

Two mobile agents starting at different nodes of an unknown network have to meet. This task is known in the literature as rendezvous. Each agent has a different label which is a positive integer known to it, but unknown to the other agent.…

Data Structures and Algorithms · Computer Science 2015-04-24 Yoann Dieudonné , Andrzej Pelc , Vincent Villain

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

Treasure hunt and rendezvous are fundamental tasks performed by mobile agents in graphs. In treasure hunt, an agent has to find an inert target (called treasure) situated at an unknown node of the graph. In rendezvous, two agents, initially…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-10-03 Debasish Pattanayak , Andrzej Pelc
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