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We consider the problem of recovering a latent graph where the observations at each node are \emph{aliased}, and transitions are stochastic. Observations are gathered by an agent traversing the graph. Aliasing means that multiple nodes emit…

Machine Learning · Computer Science 2023-09-27 Miguel Lazaro-Gredilla , Ishan Deshpande , Sivaramakrishnan Swaminathan , Meet Dave , Dileep George

We study the problem of exploring all vertices of an undirected weighted graph that is initially unknown to the searcher. An edge of the graph is only revealed when the searcher visits one of its endpoints. Beginning at some start node, the…

Data Structures and Algorithms · Computer Science 2023-10-30 Robin Fritsch

This work addresses the challenge of patrolling regular grid graphs of any dimension using a single mobile agent with minimal memory and limited sensing range. We show that it is impossible to patrol some grid graphs with $0$ bits of…

Robotics · Computer Science 2024-05-14 Michael Amir , Dmitry Rabinovich , Alfred M. Bruckstein

Graph Exploration problems ask a searcher to explore an unknown environment. The environment is modeled as a graph, where the searcher needs to visit each vertex beginning at some vertex. Treasure Hunt problems are a variation of Graph…

Computational Complexity · Computer Science 2024-12-02 Janosch Fuchs , Christoph Grüne , Tom Janßen

The most celebrated and extensively studied model of distributed computing is the {\em message-passing model,} in which each vertex/node of the (distributed network) graph corresponds to a static computational device that communicates with…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-07-08 Ajay D. Kshemkalyani , Manish Kumar , Anisur Rahaman Molla , Gokarna Sharma

An Automata Network is a map ${f:Q^n\rightarrow Q^n}$ where $Q$ is a finite alphabet. It can be viewed as a network of $n$ entities, each holding a state from $Q$, and evolving according to a deterministic synchronous update rule in such a…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-02-22 Florian Bridoux , Maximilien Gadouleau , Guillaume Theyssier

We investigate in detail a recent model of colliding mobile agents [Phys. Rev. Lett.~96, 088702], used as an alternative approach to construct evolving networks of interactions formed by the collisions governed by suitable dynamical rules.…

Physics and Society · Physics 2013-01-01 Marta C. González , Pedro G. Lind , Hans J. Herrmann

Coordinating agents through hazardous environments, such as aid-delivering drones navigating conflict zones or field robots traversing deployment areas filled with obstacles, poses fundamental planning challenges. We introduce and analyze…

Computer Science and Game Theory · Computer Science 2026-03-20 Andrzej Kaczmarczyk , Šimon Schierreich , Nicholas Axel Tanujaya , Haifeng Xu

In this paper we consider the problem of navigation and motion control in an area densely populated with other agents. We propose an algorithm that, without explicit communication and based on the information it has, computes the best…

Systems and Control · Electrical Eng. & Systems 2020-08-28 Mario Santillo , Mrdjan Jankovic

Consider a system of $K$ particles moving on the vertex set of a finite connected graph with at most one particle per vertex. If there is one, the particle at $x$ chooses one of the $\hbox{deg} (x)$ neighbors of its location uniformly at…

Probability · Mathematics 2019-06-06 Shiba Biswal , Nicolas Lanchier

We consider random-access networks where nodes represent servers with a queue and can be either active or inactive. A node deactivates at unit rate, while it activates at a rate that depends on its queue length, provided none of its…

Probability · Mathematics 2023-09-13 Sem C. Borst , Frank den Hollander , Francesca R. Nardi , Matteo Sfragara

Finding an envy-free allocation of indivisible resources to agents is a central task in many multiagent systems. Often, non-trivial envy-free allocations do not exist, and, when they do, finding them can be computationally hard. Classical…

Computer Science and Game Theory · Computer Science 2020-11-24 Robert Bredereck , Andrzej Kaczmarczyk , Rolf Niedermeier

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

Reachability is the problem of deciding whether there is a path from one vertex to the other in the graph. Standard graph traversal algorithms such as DFS and BFS take linear time to decide reachability however their space complexity is…

Computational Complexity · Computer Science 2019-02-06 Rahul Jain , Raghunath Tewari

We consider the distributed learning problem where a network of $n$ agents seeks to minimize a global function $F$. Agents have access to $F$ through noisy gradients, and they can locally communicate with their neighbors a network. We study…

Machine Learning · Computer Science 2020-11-09 Tiancheng Qin , S. Rasoul Etesami , César A. Uribe

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

This paper considers the problem of localization and circumnavigation of an unknown stationary target by a group of autonomous agents using only local bearing measurements. We assume that no direct communication or exchange of information…

Optimization and Control · Mathematics 2023-12-07 Donglin Sui , Mohammad Deghat

A mobile agent has to reach a target in the Euclidean plane. Both the agent and the target are modeled as points. In the beginning, the agent is at distance at most $D>0$ from the target. Reaching the target means that the agent gets at a…

Data Structures and Algorithms · Computer Science 2017-10-20 Andrzej Pelc

In the dispersion problem, a set of $k$ co-located mobile robots must relocate themselves in distinct nodes of an unknown network. The network is modeled as an anonymous graph $G=(V,E)$, where the nodes of the graph are not labeled. The…

Data Structures and Algorithms · Computer Science 2022-02-14 Barun Gorain , Partha Sarathi Mandal , Kaushik Mondal , Supantha Pandit

In this paper, we propose a deterministic algorithm that approximates the optimal path cover on weighted undirected graphs. Based on the 1/2-Approximation Path Cover Algorithm by Moran et al., we add a procedure to remove the redundant…

Numerical Analysis · Mathematics 2021-01-25 Junyuan Lin , Guangpeng Ren