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We study a natural information dissemination problem for multiple mobile agents in a bounded Euclidean space. Agents are placed uniformly at random in the $d$-dimensional space $\{-n, ..., n\}^d$ at time zero, and one of the agents holds a…

Probability · Mathematics 2011-10-04 Henry Lam , Zhenming Liu , Michael Mitzenmacher , Xiaorui Sun , Yajun Wang

In the $d$-Scattered Set problem we are asked to select at least $k$ vertices of a given graph, so that the distance between any pair is at least $d$. We study the problem's (in-)approximability and offer improvements and extensions of…

Computational Complexity · Computer Science 2019-10-15 Ioannis Katsikarelis , Michael Lampis , Vangelis Th. Paschos

In this paper, we propose a fully distributed algorithm for second-order continuous-time multi-agent systems to solve the distributed optimization problem. The global objective function is a sum of private cost functions associated with the…

Optimization and Control · Mathematics 2019-04-15 Xinlei Yi , Lisha Yao , Tao Yang , Jemin George , Karl H. Johansson

We study graph connectivity problem in MPC model. On an undirected graph with $n$ nodes and $m$ edges, $O(\log n)$ round connectivity algorithms have been known for over 35 years. However, no algorithms with better complexity bounds were…

Data Structures and Algorithms · Computer Science 2018-05-09 Alexandr Andoni , Clifford Stein , Zhao Song , Zhengyu Wang , Peilin Zhong

For the task of moving a set of indistinguishable agents on a connected graph with unit edge distance to an arbitrary set of goal vertices, free of collisions, we propose a fast distance optimal control algorithm that guides the agents into…

Systems and Control · Computer Science 2015-03-20 Jingjin Yu , Steven M. LaValle

This paper investigates privacy issues in distributed resource allocation over directed networks, where each agent holds a private cost function and optimizes its decision subject to a global coupling constraint through local interaction…

Systems and Control · Electrical Eng. & Systems 2025-07-08 Wei Huo , Xiaomeng Chen , Lingying Huang , Karl Henrik Johansson , Ling Shi

Minimum Spanning Tree (MST) and Breadth-First Search (BFS) tree constructions are classical problems in distributed computing, traditionally studied in the message-passing model, where static nodes communicate via messages. This paper…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-06-25 Prabhat Kumar Chand , Manish Kumar , Anisur Rahaman Molla

Efficient communication between nodes in ad-hoc networks can be established through repeated cluster formations with designated \textit{cluster-heads}. In this context minimum d-hop dominating set problem was introduced for cluster…

Data Structures and Algorithms · Computer Science 2017-01-27 Joydeep Banerjee , Arun Das , Arunabha Sen

This paper presents a randomized self-stabilizing algorithm that elects a leader $r$ in a general $n$-node undirected graph and constructs a spanning tree $T$ rooted at $r$. The algorithm works under the synchronous message passing network…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-08-13 Xavier Défago , Yuval Emek , Shay Kutten , Toshimitsu Masuzawa , Yasumasa Tamura

This paper addresses the fundamental problem of non-uniform area coverage in multi-agent systems, where different regions require varying levels of attention due to mission-dependent priorities. Existing uniform coverage strategies are…

Systems and Control · Electrical Eng. & Systems 2026-01-21 Sungjun Seo , Kooktae Lee

In this paper, the distributed resource allocation optimization problem is investigated. The allocation decisions are made to minimize the sum of all the agents' local objective functions while satisfying both the global network resource…

Optimization and Control · Mathematics 2017-04-11 Peng Yi , Yiguang Hong , Feng Liu

Leader election is, together with consensus, one of the most central problems in distributed computing. This paper presents a distributed algorithm, called \STT, for electing deterministically a leader in an arbitrary network, assuming…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-09-10 Arnaud Casteigts , Yves Métivier , John Michael Robson , Akka Zemmari

The paper addresses large-scale, convex optimization problems that need to be solved in a distributed way by agents communicating according to a random time-varying graph. Specifically, the goal of the network is to minimize the sum of…

Optimization and Control · Mathematics 2020-10-28 Andrea Camisa , Francesco Farina , Ivano Notarnicola , Giuseppe Notarstefano

There is a huge difference in techniques and runtimes of distributed algorithms for problems that can be solved by a sequential greedy algorithm and those that cannot. A prime example of this contrast appears in the edge coloring problem:…

Data Structures and Algorithms · Computer Science 2025-05-27 Manuel Jakob , Yannic Maus , Florian Schager

In this paper, we investigate a decentralized stochastic control problem with two agents, where a part of the memory of the second agent is also available to the first agent at each instance of time. We derive a structural form for optimal…

Optimization and Control · Mathematics 2022-06-14 Aditya Dave , Nishanth Venkatesh , Andreas A. Malikopoulos

In this paper, we consider the partial gathering problem of mobile agents in asynchronous unidirectional rings equipped with whiteboards on nodes. The partial gathering problem is a new generalization of the total gathering problem. The…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-09-11 Masahiro Shibata , Shinji Kawai , Fukuhito Ooshita , Hirotsugu Kakugawa , Toshimitsu Masuzawa

This letter investigates the power control and channel assignment problem in device-to-device (D2D) communications underlaying a non-orthogonal multiple access (NOMA) cellular network. With the successive interference cancellation decoding…

Information Theory · Computer Science 2017-10-17 Yijin Pan , Cunhua Pan , Zhaohui Yang , Ming Chen

This paper is mainly devoted to the distributed second-order multi-agent optimization problem with unbalanced and directed networks. To deal with this problem, a new distributed algorithm is proposed based on the local neighbor information…

Systems and Control · Electrical Eng. & Systems 2020-05-05 Lipo Mo , Haokun Hu , Yongguang Yu , Guojian Ren

This paper introduces a novel approach to solve the coverage optimization problem in multi-agent systems. The proposed technique offers an optimal solution with a lower cost with respect to conventional Voronoi-based techniques by…

Systems and Control · Electrical Eng. & Systems 2025-08-12 Mohammadhasan Faghihi , Meysam Yadegar , Mohammadhosein Bakhtiaridoust , Nader Meskin , Javad Sharifi , Peng Shi

Two identical anonymous mobile agents have to meet at a node of the infinite oriented grid whose nodes are unlabeled. This problem is known as rendezvous. The agents execute the same deterministic algorithm. Time is divided into rounds, and…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-07-23 Younan Gao , Andrzej Pelc