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In times of more and more complex interaction techniques, we point out the powerfulness of colored light as a simple and cheap feedback mechanism. Since it is visible over a distance and does not interfere with other modalities, it is…

We study colored coverage and clustering problems. Here, we are given a colored point set where the points are covered by (unknown) $k$ clusters, which are monochromatic (i.e., all the points covered by the same cluster, have the same…

Computational Geometry · Computer Science 2021-05-17 Stav Ashur , Sariel Har-Peled

We consider the problem of finding patrol schedules for $k$ robots to visit a given set of $n$ sites in a metric space. Each robot has the same maximum speed and the goal is to minimize the weighted maximum latency of any site, where the…

Data Structures and Algorithms · Computer Science 2020-07-15 Peyman Afshani , Mark De Berg , Kevin Buchin , Jie Gao , Maarten Loffler , Amir Nayyeri , Benjamin Raichel , Rik Sarkar , Haotian Wang , Hao-Tsung Yang

We consider the minimal k-grouping problem: given a graph G=(V,E) and a constant k, partition G into subgraphs of diameter no greater than k, such that the union of any two subgraphs has diameter greater than k. We give a silent…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-07-26 Ajoy K. Datta , Lawrence L. Larmore , Toshimitsu Masuzawa , Yuichi Sudo

This paper introduces collaborating robots which provide the possibility of enhanced task performance, high reliability and decreased. Collaborating-bots are a collection of mobile robots able to self-assemble and to self-organize in order…

Neural and Evolutionary Computing · Computer Science 2012-12-27 M. A. El-Dosuky , M. Z. Rashad , T. T. Hamza , A. H. EL-Bassiouny

This paper devotes to the development of an optimal acceleration/speed profile for autonomous vehicles approaching a traffic light. The design objective is to achieve both short travel time and low energy consumption as well as avoid idling…

Signal Processing · Electrical Eng. & Systems 2018-02-28 Xiangyu Meng , Christos G. Cassandras

In machine learning, asynchronous parallel stochastic gradient descent (APSGD) is broadly used to speed up the training process through multi-workers. Meanwhile, the time delay of stale gradients in asynchronous algorithms is generally…

Machine Learning · Computer Science 2020-06-09 Lifu Wang , Bo Shen , Ning Zhao

We study algorithmic matroid intersection coloring. Given $k$ matroids on a common ground set $U$ of $n$ elements, the goal is to partition $U$ into the fewest number of color classes, where each color class is independent in all matroids.…

Data Structures and Algorithms · Computer Science 2026-04-07 Stephen Arndt , Benjamin Moseley , Kirk Pruhs , Chaitanya Swamy , Michael Zlatin

Global coordination is required to solve a wide variety of challenging collective action problems from network colorings to the tragedy of the commons. Recent empirical study shows that the presence of a few noisy autonomous agents can…

Physics and Society · Physics 2024-06-14 Matthew I. Jones , Scott D. Pauls , Feng Fu

In their seminal work, Gauci et al. (2014) studied the fundamental task of aggregation, wherein multiple robots need to gather without an a priori agreed-upon meeting location, using minimal hardware. That paper considered…

Robotics · Computer Science 2025-01-03 Roy Steinberg , Kiril Solovey

We study the problem of colouring the vertices of a polygon, such that every viewer in it can see a unique colour. The goal is to minimise the number of colours used. This is also known as the conflict-free chromatic guarding problem with…

Computational Geometry · Computer Science 2020-04-07 Onur Çağırıcı , Subir Kumar Ghosh , Petr Hliněný , Bodhayan Roy

The limited energy capacity of individual robotic agents in a swarm often limits the possible cooperative tasks they can perform. In this work, we investigate the problem of covering an unknown connected grid environment (e.g. a maze or…

Multiagent Systems · Computer Science 2019-03-11 Michael Amir , Alfred M. Bruckstein

We propose a new camera-based method of robot identification, tracking and orientation estimation. The system utilises coloured lights mounted in a circle around each robot to create unique colour sequences that are observed by a camera.…

Combinatorics · Mathematics 2017-07-18 Tony Grubman , Y. Ahmet Şekercioğlu , David R. Wood

Summary: Traffic light coordination is a complex problem. In this paper, we extend previous work on an abstract model of city traffic to allow for multiple street intersections. We test a self-organizing method in our model, showing that it…

Adaptation and Self-Organizing Systems · Physics 2011-04-15 Carlos Gershenson , David A. Rosenblueth

We study the \textit{min-sum uniform coverage} problem for a swarm of $n$ mobile robots on a given finite line segment and on a circle having finite positive radius, where the circle is given as an input. The robots must coordinate their…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-02-12 Animesh Maiti , Abhinav Chakraborty , Bibhuti Das , Subhash Bhagat , Krishnendu Mukhopadhyaya

The aim of the dispersion problem is to place a set of $k(\leq n)$ mobile robots in the nodes of an unknown graph consisting of $n$ nodes such that in the final configuration each node contains at most one robot, starting from any arbitrary…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-01-13 Tanvir Kaur , Kaushik Mondal

The vast majority of existing Distributed Computing literature about mobile robotic swarms considers computability issues: characterizing the set of system hypotheses that enables problem solvability. By contrast, the focus of this work is…

Computational Geometry · Computer Science 2021-05-21 Adam Heriban , Sébastien Tixeuil

We study an optimization problem that arises in the design of covering strategies for multi-robot systems. Consider a team of $n$ cooperating robots traveling along predetermined closed and disjoint trajectories. Each robot needs to…

Robotics · Computer Science 2017-07-25 Sergey Bereg , Luis-Evaristo Caraballo , José-Miguel Díaz-Báñez , Mario A. Lopez

Self-organized aggregation is a well studied behavior in swarm robotics as it is the pre-condition for the development of more advanced group-level responses. In this paper, we investigate the design of decentralized algorithms for a swarm…

Robotics · Computer Science 2022-08-29 Antoine Sion , Andreagiovanni Reina , Mauro Birattari , Elio Tuci

This paper investigates the task solvability of mobile robot systems subject to Byzantine faults. We first consider the gathering problem, which requires all robots to meet in finite time at a non-predefined location. It is known that the…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-06-02 Taisuke Izumi , Zohir Bouzid , Sébastien Tixeuil , Koichi Wada