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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

The pinwheel problem is a real-time scheduling problem that asks, given $n$ tasks with periods $a_i \in \mathbb{N}$, whether it is possible to infinitely schedule the tasks, one per time unit, such that every task $i$ is scheduled in every…

Data Structures and Algorithms · Computer Science 2026-03-18 Ahan Mishra

We consider a variation of the Cops and Robber game where the cops can only see the robber when the distance between them is at most a fixed parameter $\ell$. We consider the basic consequences of this definition for some simple graph…

Discrete Mathematics · Computer Science 2017-08-25 N. E. Clarke , D. Cox , C. Duffy , D. Dyer , S. Fitzpatrick , M. E. Messinger

We consider a variant of Cops and Robbers in which the robber may traverse as many edges as he likes in each turn, with the constraint that he cannot pass through any vertex occupied by a cop. We study this model on several classes of…

Combinatorics · Mathematics 2022-05-17 William B. Kinnersley , Nikolas Townsend

We propose an algorithm for constructing efficient patrolling strategies in the Internet environment, where the protected targets are nodes connected to the network and the patrollers are software agents capable of detecting/preventing…

Artificial Intelligence · Computer Science 2018-05-11 Tomáš Brázdil , Antonín Kučera , Vojtěch Řehák

Large language models are increasingly deployed as *deep agents* that plan, maintain persistent state, and invoke external tools, shifting safety failures from unsafe text to unsafe *trajectories*. We introduce **AgentFence**, an…

Cryptography and Security · Computer Science 2026-02-10 Sai Puppala , Ismail Hossain , Md Jahangir Alam , Yoonpyo Lee , Jay Yoo , Tanzim Ahad , Syed Bahauddin Alam , Sajedul Talukder

Given a connected region in two-dimensional space where events of a certain kind occur according to a certain time-varying density, we consider the problem of setting up a network of autonomous mobile agents to detect the occurrence of…

Multiagent Systems · Computer Science 2016-07-05 Rodrigo R. Esch , Fábio Protti , Valmir C. Barbosa

We introduce the concept of continuous transportation task to the context of multi-agent systems. A continuous transportation task is one in which a multi-agent team visits a number of fixed locations, picks up objects, and delivers them to…

Multiagent Systems · Computer Science 2016-07-29 Chao Wang , Somchaya Liemhetcharat , Kian Hsiang Low

Many fear that future artificial agents will resist shutdown. I present an idea - the POST-Agents Proposal - for ensuring that doesn't happen. I propose that we train agents to satisfy Preferences Only Between Same-Length Trajectories…

Artificial Intelligence · Computer Science 2026-01-06 Elliott Thornley

In numerous positional games the identity of the winner is easily determined. In this case one of the more interesting questions is not {\em who} wins but rather {\em how fast} can one win. These type of problems were studied earlier for…

Combinatorics · Mathematics 2008-06-03 Dan Hefetz , Michael Krivelevich , Miloš Stojaković , Tibor Szabó

We consider the problem of collectively delivering some message from a specified source to a designated target location in a graph, using multiple mobile agents. Each agent has a limited energy which constrains the distance it can move.…

Data Structures and Algorithms · Computer Science 2020-08-27 Andreas Bärtschi , Jérémie Chalopin , Shantanu Das , Yann Disser , Barbara Geissmann , Daniel Graf , Arnaud Labourel , Matúš Mihalák

We study the problem of guarding orthogonal art galleries with horizontal mobile guards (alternatively, vertical) and point guards, using "rectangular vision". We prove a sharp bound on the minimum number of point guards required to cover…

Combinatorics · Mathematics 2019-11-07 Ervin Győri , Tamás Róbert Mezei

Consider a given planar circular region, in which there is an unknown number of smart mobile evaders. We wish to detect evaders using a line formation of sweeping agents whose total sensing length is predetermined. We propose procedures for…

Multiagent Systems · Computer Science 2023-05-16 Roee M. Francos , Alfred M. Bruckstein

In this paper, we study temporal graphs arising from mobility models, where vertices correspond to agents moving in space and edges appear each time two agents meet. We propose a rather natural one-dimensional model. If each pair of agents…

Data Structures and Algorithms · Computer Science 2024-09-20 Mónika Csikós , Michel Habib , Minh-Hang Nguyen , Mikaël Rabie , Laurent Viennot

In the today's Internet and TCP/IP-networks, the queueing of packets is commonly implemented using the protocol FIFO (First In First Out). Unfortunately, FIFO performs poorly in the Adversarial Queueing Theory. Other queueing strategies are…

Networking and Internet Architecture · Computer Science 2008-05-07 Michael Hilker , Christoph Schommer

Dumas, Foucaud, Perez and Todinca (2024) recently proved that every graph whose edges can be covered by $k$ shortest paths has pathwidth at most $O(3^k)$. In this paper, we improve this upper bound on the pathwidth to a polynomial one;…

Combinatorics · Mathematics 2026-02-27 Julien Baste , Lucas De Meyer , Ugo Giocanti , Etienne Objois , Timothé Picavet

We study an extensive class of movement minimization problems which arise from many practical scenarios but so far have little theoretical study. In general, these problems involve planning the coordinated motion of a collection of agents…

Data Structures and Algorithms · Computer Science 2015-03-20 Erik D. Demaine , MohammadTaghi Hajiaghayi , Dániel Marx

We consider the problem of timely exchange of updates between a central station and a set of ground terminals $V$, via a mobile agent that traverses across the ground terminals along a mobility graph $G = (V, E)$. We design the trajectory…

Information Theory · Computer Science 2019-01-09 Vishrant Tripathi , Rajat Talak , Eytan Modiano

Using mobile robots for autonomous patrolling of environments to prevent intrusions is a topic of increasing practical relevance. One of the most challenging scientific issues is the problem of finding effective patrolling strategies that,…

Computer Science and Game Theory · Computer Science 2009-12-18 Nicola Basilico , Nicola Gatti , Francesco Amigoni

We show that for any set of $n$ points moving along "simple" trajectories (i.e., each coordinate is described with a polynomial of bounded degree) in $\Re^d$ and any parameter $2 \le k \le n$, one can select a fixed non-empty subset of the…

Computational Geometry · Computer Science 2017-04-28 Jean-Lou De Carufel , Matya Katz , Matias Korman , André van Renssen , Marcel Roeloffzen , Shakhar Smorodinsky