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We present an algorithm that computes a shortest non-contractible and a shortest non-separating cycle on an orientable combinatorial surface of bounded genus in O(n \log n) time, where n denotes the complexity of the surface. This solves a…

计算几何 · 计算机科学 2007-05-23 Martin Kutz

In the field of swarm robotics, one of the most studied problem is Gathering. It asks for a distributed algorithm that brings the robots to a common location, not known in advance. We consider the case of robots constrained to move along…

分布式、并行与集群计算 · 计算机科学 2025-11-12 Serafino Cicerone , Alessia Di Fonso , Gabriele Di Stefano , Alfredo Navarra

We consider the problem of collective exploration of a known $n$-node edge-weighted graph by $k$ mobile agents that have limited energy but are capable of energy transfers. The agents are initially placed at an arbitrary subset of nodes in…

离散数学 · 计算机科学 2021-02-26 J. Czyzowicz , S. Dobrev , R. Killick , E. Kranakis , D. Krizanc , L. Narayanan , J. Opatrny , D. Pankratov , S. Shende

This paper deals with the classical problem of exploring a ring by a cohort of synchronous robots. We focus on the perpetual version of this problem in which it is required that each node of the ring is visited by a robot infinitely often.…

分布式、并行与集群计算 · 计算机科学 2017-08-08 Marjorie Bournat , Ajoy K. Datta , Swan Dubois

We consider the problem of organizing a scattered group of $n$ robots in two-dimensional space, with geometric maximum distance $D$ between robots. The communication graph of the swarm is connected, but there is no central authority for…

机器人学 · 计算机科学 2015-05-13 Dominik Krupke , Michael Hemmer , James McLurkin , Yu Zhou , Sandor P. Fekete

The gathering problem requires a set of mobile agents, arbitrarily positioned at different nodes of a network to group within finite time at the same location, not fixed in advanced. The extensive existing literature on this problem shares…

分布式、并行与集群计算 · 计算机科学 2017-04-12 Giuseppe Antonio Di Luna , Paola Flocchini , Linda Pagli , Giuseppe Prencipe , Nicola Santoro , Giovanni Viglietta

We resolve the space complexity of single-pass streaming algorithms for approximating the classic set cover problem. For finding an $\alpha$-approximate set cover (for any $\alpha= o(\sqrt{n})$) using a single-pass streaming algorithm, we…

数据结构与算法 · 计算机科学 2016-03-21 Sepehr Assadi , Sanjeev Khanna , Yang Li

In order to investigate the routing aspects of small-world networks, Kleinberg proposes a network model based on a $d$-dimensional lattice with long-range links chosen at random according to the $d$-harmonic distribution. Kleinberg shows…

离散数学 · 计算机科学 2007-05-23 Jianyang Zeng , Wen-Jing Hsu , Jiangdian Wang

We introduce and study the Joint Task Assistance Planning problem which generalizes prior work on optimizing assistance in robotic collaboration. In this setting, two robots operate over predefined roadmaps, each represented as a graph…

机器人学 · 计算机科学 2026-02-25 Omer Daube , Oren Salzman

In this paper, we tackle the problem of planning an optimal coverage path for a robot operating indoors. Many existing approaches attempt to discourage turns in the path by covering the environment along the least number of coverage lines,…

机器人学 · 计算机科学 2022-05-30 Megnath Ramesh , Frank Imeson , Baris Fidan , Stephen L. Smith

We consider exploration of finite 2D square grid by a metamorphic robotic system consisting of anonymous oblivious modules. The number of possible shapes of a metamorphic robotic system grows as the number of modules increases. The shape of…

分布式、并行与集群计算 · 计算机科学 2019-06-05 Keisuke Doi , Yukiko Yamauchi , Shuji Kijima , Masafumi Yamashita

Future applications in environmental monitoring, delivery of services and transportation of goods motivate the study of deployment and partitioning tasks for groups of autonomous mobile agents. These tasks are achieved by recent coverage…

最优化与控制 · 数学 2009-12-28 Francesco Bullo , Ruggero Carli , Paolo Frasca

Building structures can allow a robot to surmount large obstacles, expanding the set of areas it can reach. This paper presents a planning algorithm to automatically determine what structures a construction-capable robot must build in order…

机器人学 · 计算机科学 2018-12-12 Tarik Tosun , Cynthia Sung , Colin McCloskey , Mark Yim

In this paper, we present a communication-free algorithm for distributed coverage of an arbitrary network by a group of mobile agents with local sensing capabilities. The network is represented as a graph, and the agents are arbitrarily…

系统与控制 · 计算机科学 2016-02-01 A. Yasin Yazicioglu , Magnus Egerstedt , Jeff S. Shamma

Given a set of $n$ point robots inside a simple polygon $P$, the task is to move the robots from their starting positions to their target positions along their shortest paths, while the mutual visibility of these robots is preserved.…

计算几何 · 计算机科学 2025-09-09 Rusul J. Alsaedi , Joachim Gudmundsson , André van Renssen

We present a biologically inspired design for swarm foraging based on ant's pheromone deployment, where the swarm is assumed to have very restricted capabilities. The robots do not require global or relative position measurements and the…

机器人学 · 计算机科学 2021-09-10 Steven Adams , Daniel Jarne Ornia , Manuel Mazo

Using elementary distributed computing techniques we suggest an explanation for two unexplained phenomena in regards to ant colonies, (a) a substantial amount of ants in an ant colony are idle, and (b) the observed low survivability of new…

分布式、并行与集群计算 · 计算机科学 2016-05-23 Yehuda Afek , Deborah M. Gordon , Moshe Sulamy

We address the problem of efficient and unobstructed surveillance or communication in complex environments. On one hand, one wishes to use a minimal number of sensors to cover the environment. On the other hand, it is often important to…

机器学习 · 计算机科学 2023-09-18 Lukas Taus , Yen-Hsi Richard Tsai

The exploration problem in the discrete universe, using identical oblivious asynchronous robots without direct communication, has been well investigated. These robots have sensors that allow them to see their environment and move…

多智能体系统 · 计算机科学 2012-05-23 Ajoy K. Datta , Anissa Lamani , Lawrence L. Larmore , Franck Petit

When considering motion planning for a swarm of $n$ labeled robots, we need to rearrange a given start configuration into a desired target configuration via a sequence of parallel, collision-free robot motions. The objective is to reach the…

计算几何 · 计算机科学 2024-07-25 Sándor P. Fekete , Peter Kramer , Christian Rieck , Christian Scheffer , Arne Schmidt