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Avoiding collisions is the core problem in multi-agent navigation. In decentralized settings, when agents have limited communication and sensory capabilities, collisions are typically avoided in a reactive fashion, relying on local…

Multiagent Systems · Computer Science 2021-07-02 Stepan Dergachev , Konstantin Yakovlev

The 3-domatic number problem asks whether a given graph can be partitioned intothree dominating sets. We prove that this problem can be solved by a deterministic algorithm in time 2.695^n (up to polynomial factors). This result improves the…

Computational Complexity · Computer Science 2007-05-23 Tobias Riege , Jörg Rothe , Holger Spakowski , Masaki Yamamoto

We study the multi-agent path finding problem (MAPF) for a group of agents which are allowed to move into arbitrary directions on a 2D square grid. We focus on centralized conflict resolution for independently computed plans. We propose an…

Artificial Intelligence · Computer Science 2016-08-10 Konstantin Yakovlev , Anton Andreychuk

Domination of grids has been proved to be a demanding task and with the addition of independence it becomes more challenging. It is known that no grid with $m,n \geq 5$ has an efficient dominating set, also called perfect code, that is, an…

Combinatorics · Mathematics 2016-05-03 Sahar A. Aleid , José Cáceres , María Luz Puertas

The problem of search by multiple agents to find and localize objects arises in many important applications. In this paper, we study a class of multi-agent search problems in which each agent can access only a subset of a discrete search…

Optimization and Control · Mathematics 2017-09-13 Huanyu Ding , David Castanon

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

In this paper we study the problem of cooperative searching and tracking (SAT) of multiple moving targets with a group of autonomous mobile agents that exhibit limited sensing capabilities. We assume that the actual number of targets is not…

Systems and Control · Electrical Eng. & Systems 2023-02-02 Savvas Papaioannou , Panayiotis Kolios , Theocharis Theocharides , Christos G. Panayiotou , Marios M. Polycarpou

Motivated by the success of bounded model checking framework for finite state machines, Ouaknine and Worrell proposed a time-bounded theory of real-time verification by claiming that restriction to bounded-time recovers decidability for…

Logic in Computer Science · Computer Science 2014-08-18 Shankara Narayanan Krishna , Lakshmi Manasa , Ashutosh Trivedi

We study a driftless system on a three-dimensional manifold driven by two scalar controls. We assume that each scalar control has an independent bound on its modulus and we prove that, locally around every point where the controlled vector…

Optimization and Control · Mathematics 2019-11-26 M. Sigalotti

Coordinating multiple autonomous agents in shared environments under decentralized conditions is a long-standing challenge in robotics and artificial intelligence. This work addresses the problem of decentralized goal assignment for…

Artificial Intelligence · Computer Science 2025-10-29 Murad Ismayilov , Edwin Meriaux , Shuo Wen , Gregory Dudek

We consider several algorithms for exploring and filling an unknown, connected region, by simple, airborne agents. The agents are assumed to be identical, autonomous, anonymous and to have a finite amount of memory. The region is modeled as…

Multiagent Systems · Computer Science 2022-09-21 Ori Rappel , Joseph Ben-Asher , Alfred Bruckstein

In this paper, we start the investigation of distributed computing by mobile agents in dangerous dynamic networks. The danger is posed by the presence in the network of a black hole BH, a harmful site that destroys all incoming agents…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-08-04 Giuseppe Antonio Di Luna , Paola Flocchini , Giuseppe Prencipe , Nicola Santoro

In this work, a novel distributed search-planning framework is proposed, where a dynamically varying team of autonomous agents cooperate in order to search multiple objects of interest in three-dimension (3-D). It is assumed that the agents…

Systems and Control · Electrical Eng. & Systems 2023-04-19 Savvas Papaioannou , Panayiotis Kolios , Theocharis Theocharides , Christos G. Panayiotou , Marios M. Polycarpou

Graph-theoretic tools and techniques have seen wide use in the multi-agent systems literature, and the unpredictable nature of some multi-agent communications has been successfully modeled using random communication graphs. Across both…

Optimization and Control · Mathematics 2017-09-18 Matthew T. Hale

This paper proposes a framework for improving the operational efficiency of automated storage systems under uncertainty. It considers a 2D grid-based storage for uniform-sized loads (e.g., containers, pallets, or totes), which are moved by…

Robotics · Computer Science 2026-01-28 Tzvika Geft , William Zhang , Jingjin Yu , Kostas Bekris

We study deterministic online algorithms for the problem of chasing sets of cardinality at most $k$ in a metric space, also known as metrical service systems and equivalent to width-$k$ layered graph traversal. We resolve the 30-year-old…

Data Structures and Algorithms · Computer Science 2026-05-12 Christian Coester , Alexa Tudose

We consider search by mobile agents for a hidden, idle target, placed on the infinite line. Feasible solutions are agent trajectories in which all agents reach the target sooner or later. A special feature of our problem is that the agents…

Data Structures and Algorithms · Computer Science 2023-03-29 Konstantinos Georgiou , Nikos Giachoudis , Evangelos Kranakis

Today's networks consist of many autonomous entities that follow their own objectives, i.e., smart devices or parts of large AI systems, that are interconnected. Given the size and complexity of most communication networks, each entity…

Computer Science and Game Theory · Computer Science 2026-02-02 Pascal Lenzner , Paraskevi Machaira

Gathering is a fundamental coordination problem in swarm robotics, where the objective is to bring robots together at a point not known to them at the beginning. While most research focuses on continuous domains, some studies also examine…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-10-17 Abhinav Chakraborty , Pritam Goswami , Satakshi Ghosh

A graph environment must be explored by a collection of mobile robots. Some of the robots, a priori unknown, may turn out to be unreliable. The graph is weighted and each node is assigned a deadline. The exploration is successful if each…

Data Structures and Algorithms · Computer Science 2017-10-03 Jurek Czyzowicz , Maxime Godon , Evangelos Kranakis , Arnaud Labourel , Euripides Markou