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Related papers: Deterministic Collision-Free Exploration of Unknow…

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Several distributed algorithms are presented for the exploration of unknown indoor regions by a swarm of flying, energy constrained agents. The agents, which are identical, autonomous, anonymous and oblivious, uniformly cover the region and…

Multiagent Systems · Computer Science 2023-05-17 Ori Rappel , Joseph Z. Ben-Asher , Alfred M. Bruckstein

\emph{Temporal graphs} are a generalisation of (static) graphs, defined by a sequence of \emph{snapshots}, each a static graph defined over a common set of vertices. \emph{Exploration} problems are one of the most fundamental and most…

Data Structures and Algorithms · Computer Science 2026-02-24 Duncan Adamson , Paul G Spirakis

Collision-free or contact-free routing through connected networks has been actively studied in the industrial automation and manufacturing context. Contact-free routing of personnel through connected networks (e.g., factories, retail…

Optimization and Control · Mathematics 2022-03-08 Diptangshu Sen , Prasanna Ramamoorthy , Varun Ramamohan

Several mobile agents, modelled as deterministic automata, navigate in an infinite line in synchronous rounds. All agents start in the same round. In each round, an agent can move to one of the two neighboring nodes, or stay idle. Agents…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-07-08 Younan Gao , Andrzej Pelc

We investigate network exploration by random walks defined via stationary and adaptive transition probabilities on large graphs. We derive an exact formula valid for arbitrary graphs and arbitrary walks with stationary transition…

Statistical Mechanics · Physics 2015-05-19 A. Asztalos , Z. Toroczkai

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

We study a graph pathfinding problem Distance-$r$ Independent Unlabeled Multi-Agent Pathfinding, finding a set of collision-free paths between two sets where agents must stay at pairwise distance at least $r+1$ at all times. This additional…

Multiagent Systems · Computer Science 2026-05-13 Takahiro Suzuki , Yuma Tamura , Keisuke Okumura

This research considers Bayesian decision-analytic approaches toward the traversal of an uncertain graph. Namely, a traveler progresses over a graph in which rewards are gained upon a node's first visit and costs are incurred for every edge…

Artificial Intelligence · Computer Science 2025-03-11 William N. Caballero , Phillip R. Jenkins , David Banks , Matthew Robbins

We study the problem of leader election among mobile agents operating in an arbitrary network modeled as an undirected graph. Nodes of the network are unlabeled and all agents are identical. Hence the only way to elect a leader among agents…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-03-05 Dariusz Dereniowski , Andrzej Pelc

Mobile agents have emerged as a powerful framework for solving fundamental graph problems in distributed settings in recent times. These agents, modelled as autonomous physical or software entities, possess local computation power, finite…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-11-26 Prabhat Kumar Chand , Anisur Rahaman Molla

This paper considers a two-dimensional persistent monitoring problem by controlling movements of second-order agents to minimize some uncertainty metric associated with targets in a dynamic environment. In contrast to common sensing models…

Optimization and Control · Mathematics 2019-11-12 Yan-Wu Wang , Ming-Jie Zhao , Wu Yang , Nan Zhou , Christos G. Cassandras

We study a number of graph exploration problems in the following natural scenario: an algorithm starts exploring an undirected graph from some seed node; the algorithm, for an arbitrary node $v$ that it is aware of, can ask an oracle to…

Data Structures and Algorithms · Computer Science 2017-10-25 Flavio Chierichetti , Shahrzad Haddadan

The Temporal Graph Exploration problem (TEXP) takes as input a temporal graph, i.e., a sequence of graphs $(G_i)_{i\in \mathbb{N}}$ on the same vertex set, and asks for a walk of shortest length visiting all vertices, where the $i$-th step…

Discrete Mathematics · Computer Science 2025-08-06 Samuel Baguley , Andreas Göbel , Nicolas Klodt , George Skretas , John Sylvester , Viktor Zamaraev

An anonymous dynamic network is a network of indistinguishable processes whose communication links may appear or disappear unpredictably over time. Previous research has shown that deterministically computing an arbitrary function of a…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-03-25 Giuseppe A. Di Luna , Giovanni Viglietta

Finding feasible, collision-free paths for multiagent systems can be challenging, particularly in non-communicating scenarios where each agent's intent (e.g. goal) is unobservable to the others. In particular, finding time efficient paths…

Multiagent Systems · Computer Science 2016-09-29 Yu Fan Chen , Miao Liu , Michael Everett , Jonathan P. How

Consider a small group of mobile agents whose goal is to locate a certain cell in a two-dimensional infinite grid. The agents operate in an asynchronous environment, where in each discrete time step, an arbitrary subset of the agents…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-05-09 Sebastian Brandt , Jara Uitto , Roger Wattenhofer

Can we learn how to explore unknown spaces efficiently? To answer this question, we study the problem of Online Graph Exploration, the online version of the Traveling Salesperson Problem. We reformulate graph exploration as a reinforcement…

Machine Learning · Computer Science 2021-04-07 Ioannis Chiotellis , Daniel Cremers

Two mobile agents, starting from different nodes of a network at possibly different times, have to meet at the same node. This problem is known as $\mathit{rendezvous}$. Agents move in synchronous rounds. Each agent has a distinct integer…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-08-12 Avery Miller , Andrzej Pelc

In this paper we study the task of approach of two mobile agents having the same limited range of vision and moving asynchronously in the plane. This task consists in getting them in finite time within each other's range of vision. The…

Data Structures and Algorithms · Computer Science 2018-07-10 Sébastien Bouchard , Marjorie Bournat , Yoann Dieudonné , Swan Dubois , Franck Petit

The dispersion problem on graphs asks $k\leq n$ robots placed initially arbitrarily on the nodes of an $n$-node anonymous graph to reposition autonomously to reach a configuration in which each robot is on a distinct node of the graph. This…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-09-05 Ajay D. Kshemkalyani , Anisur Rahaman Molla , Gokarna Sharma
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