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Given a plane forest $F = (V, E)$ of $|V| = n$ points, we find the minimum set $S \subseteq E$ of edges such that the edge-constrained minimum spanning tree over the set $V$ of vertices and the set $S$ of constraints contains $F$. We…

Computational Geometry · Computer Science 2016-10-04 Prosenjit Bose , Jean-Lou De Carufel , Alina Shaikhet , Michiel Smid

A topological graph is a graph drawn in the plane. A topological graph is $k$-plane, $k>0$, if each edge is crossed at most $k$ times. We study the problem of partitioning the edges of a $k$-plane graph such that each partite set forms a…

In this paper, we study to employ geographic information to address the blockage problem of air-to-ground links between UAV and terrestrial nodes. In particular, a UAV relay is deployed to establish communication links from a ground base…

Signal Processing · Electrical Eng. & Systems 2022-03-30 Pengfei Yi , Liang Zhu , Lipeng Zhu , Zhenyu Xiao , Zhu Han , Xiang-Gen Xia

This letter considers an unmanned aerial vehicle (UAV)-enabled relay communication system for delivering latency-critical messages with ultra-high reliability, where the relay is operating under amplifier-and-forward (AF) mode. We aim to…

Signal Processing · Electrical Eng. & Systems 2020-07-21 Hong Ren , Cunhua Pan , Kezhi Wang , Wei Xu , Maged Elkashlan , Arumugam Nallanathan

We present the first exact polynomial time algorithm for constructing optimal geometric bottleneck 2-connected Steiner networks containing at most $k$ Steiner points, where $k>2$ is a constant. Given a set of $n$ vertices embedded in an…

Metric Geometry · Mathematics 2013-10-23 Marcus Brazil , Charl Ras , Doreen Thomas

Let $S$ be a planar $n$-point set. A triangulation for $S$ is a maximal plane straight-line graph with vertex set $S$. The Voronoi diagram for $S$ is the subdivision of the plane into cells such that all points in a cell have the same…

Computational Geometry · Computer Science 2020-10-05 Matias Korman , Wolfgang Mulzer , Andre van Renssen , Marcel Roeloffzen , Paul Seiferth , Yannik Stein

This paper presents a new scalable parallelization scheme to generate the 3D Delaunay triangulation of a given set of points. Our first contribution is an efficient serial implementation of the incremental Delaunay insertion algorithm. A…

Computational Geometry · Computer Science 2018-11-07 Célestin Marot , Jeanne Pellerin , Jean-François Remacle

Unmanned aerial vehicles (UAVs), commonly known as drones, are becoming increasingly popular for various applications. Freely flying drones create highly dynamic environments, where conventional routing algorithms which rely on stationary…

Networking and Internet Architecture · Computer Science 2018-06-13 Mehrdad Khaledi , Arnau Rovira-Sugranes , Fatemeh Afghah , Abolfazl Razi

In this paper we study the deployment of multiple unmanned aerial vehicles (UAVs) to form a temporal UAV network for the provisioning of emergent communications to affected people in a disaster zone, where each UAV is equipped with a…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-07-20 Wenzheng Xu , Yueying Sun , Rui Zou , Weifa Liang , Qiufen Xia , Feng Shan , Tian Wang , Xiaohua Jia , Zheng Li

This paper applies graph neural networks (GNN) in UAV communications to optimize the placement and transmission design. We consider a multiple-user multiple-input-single-output UAV communication system where a UAV intends to find a…

Signal Processing · Electrical Eng. & Systems 2024-10-04 Qinyu Wang , Yang Lu , Wei Chen , Bo Ai , Zhangdui Zhong , Dusit Niyato

Gradient-based optimization methods implemented on distributed computing architectures are increasingly used to tackle large-scale machine learning applications. A key bottleneck in such distributed systems is the high communication…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-06-11 Xiaoge Deng , Dongsheng Li , Tao Sun , Xicheng Lu

We propose a communication-efficient optimally structured gradient coding scheme to jointly address straggler resilience and communication efficiency in heterogeneous distributed learning. By establishing a unified framework that…

Systems and Control · Electrical Eng. & Systems 2026-05-18 Heekang Song , Wan Choi

A data structure is presented for point location in connected planar subdivisions when the distribution of queries is known in advance. The data structure has an expected query time that is within a constant factor of optimal. More…

Computational Geometry · Computer Science 2013-03-12 Sebastien Collette , Vida Dujmovic , John Iacono , Stefan Langerman , Pat Morin

We study the scalability of consensus-based distributed optimization algorithms by considering two questions: How many processors should we use for a given problem, and how often should they communicate when communication is not free?…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-09-06 Konstantinos I. Tsianos , Sean Lawlor , Michael G. Rabbat

In this paper, we investigate an unmanned aerial vehicle (UAV)-assisted integrated communication and localization network in emergency scenarios where a single UAV is deployed as both an airborne base station (BS) and anchor node to assist…

Networking and Internet Architecture · Computer Science 2023-06-07 Suzhi Bi , Jiaxing Yu , Zheyuan Yang , Xiaohui Lin , Yuan Wu

Distributed-memory implementations of numerical optimization algorithm, such as stochastic gradient descent (SGD), require interprocessor communication at every iteration of the algorithm. On modern distributed-memory clusters where…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-01-14 Aditya Devarakonda , Ramakrishnan Kannan

In this work, a delay-tolerant unmanned aerial vehicle (UAV) relayed covert and secure communication framework is investigated. In this framework, a legitimate UAV serves as an aerial relay to realize communication when the direct link…

Information Theory · Computer Science 2025-06-03 Jiacheng Jiang , Hongjiang Lei , Ki-Hong Park , Gaofeng Pan , Mohamed-Slim Alouini

Numerous remarkable advancements have been made in accuracy, speed, and parallelism for solving the Unmanned Aerial Vehicle Route Planing (UAVRP). However, existing UAVRP solvers face challenges when attempting to scale effectively and…

Artificial Intelligence · Computer Science 2024-12-23 Tao Zhou , Kai Ye , Zeyu Shi , Jiajing Lin , Dejun Xu , Min Jiang

This papers studies multi-agent (convex and \emph{nonconvex}) optimization over static digraphs. We propose a general distributed \emph{asynchronous} algorithmic framework whereby i) agents can update their local variables as well as…

Optimization and Control · Mathematics 2019-09-12 Ye Tian , Ying Sun , Gesualdo Scutari

This paper focuses on decentralized composite optimization over networks without a central coordinator. We propose a novel decentralized symmetric ADMM algorithm that incorporates multiple communication rounds within each iteration, derived…

Optimization and Control · Mathematics 2026-03-06 Jinrui Huang , Xueqin Wang , Dong Liu , Jingguo Lan , Runxiong Wu
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