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The Euclidean Steiner tree problem asks to find a min-cost metric graph that connects a given set of \emph{terminal} points $X$ in $\mathbb{R}^d$, possibly using points not in $X$ which are called Steiner points. Even though near-linear…

Computational Geometry · Computer Science 2023-12-01 T-H. Hubert Chan , Gramoz Goranci , Shaofeng H. -C. Jiang , Bo Wang , Quan Xue

In this paper, we study a survivable network design problem on directed graphs, 2-Connected Directed Steiner Tree (2-DST): given an $n$-vertex weighted directed graph, a root $r$, and a set of $h$ terminals $S$, find a min-cost subgraph $H$…

Data Structures and Algorithms · Computer Science 2016-11-08 Fabrizio Grandoni , Bundit Laekhanukit

Short spanning trees subject to additional constraints are important building blocks in various approximation algorithms. Especially in the context of the Traveling Salesman Problem (TSP), new techniques for finding spanning trees with…

Data Structures and Algorithms · Computer Science 2023-09-13 Martin Nägele , Rico Zenklusen

The Euclidean Steiner tree problem seeks the min-cost network to connect a collection of target locations, and it underlies many applications of wireless networks. In this paper, we present a study on solving the Euclidean Steiner tree…

Machine Learning · Computer Science 2022-09-22 Siqi Wang , Yifan Wang , Guangmo Tong

Spanning trees are an important primitive in many data analysis tasks, when a data set needs to be summarized in terms of its "skeleton", or when a tree-shaped graph over all observations is required for downstream processing. Popular…

Discrete Mathematics · Computer Science 2024-04-10 Enrique Fita Sanmartín , Christoph Schnörr , Fred A. Hamprecht

In this paper we design throughput-optimal dynamic broad- cast algorithms for multi-hop networks with arbitrary topolo- gies. Most of the previous broadcast algorithms route pack- ets along spanning trees, rooted at the source node. For…

Data Structures and Algorithms · Computer Science 2016-04-05 Abhishek Sinha , Georgios Paschos , Eytan Modiano

This paper studies a fundamental algorithmic problem related to the design of demand-aware networks: networks whose topologies adjust toward the traffic patterns they serve, in an online manner. The goal is to strike a tradeoff between the…

Data Structures and Algorithms · Computer Science 2020-04-07 Chen Avin , Kaushik Mondal , Stefan Schmid

We study the distributed minimum spanning tree (MST) problem, a fundamental problem in distributed computing. It is well-known that distributed MST can be solved in $\tilde{O}(D+\sqrt{n})$ rounds in the standard CONGEST model (where $n$ is…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-12-20 John Augustine , William K. Moses , Gopal Pandurangan

Open radio access network (ORAN) Alliance offers a disaggregated RAN functionality built using open interface specifications between blocks. To efficiently support various competing services, \textit{namely} enhanced mobile broadband (eMBB)…

Systems and Control · Electrical Eng. & Systems 2022-10-18 Fatemeh Kavehmadavani , Van-Dinh Nguyen , Thang X. Vu , Symeon Chatzinotas

Euclidean Steiner trees are relevant to model minimal networks in real-world applications ubiquitously. In this paper, we study the feasibility of a hierarchical approach embedded with bundling operations to compute multiple and mutually…

Artificial Intelligence · Computer Science 2024-12-03 Victor Parque

In this paper we study the Steiner tree problem over a dynamic set of terminals. We consider the model where we are given an $n$-vertex graph $G=(V,E,w)$ with positive real edge weights, and our goal is to maintain a tree which is a good…

Data Structures and Algorithms · Computer Science 2016-06-27 Jakub Łącki , Jakub Oćwieja , Marcin Pilipczuk , Piotr Sankowski , Anna Zych

In this article, we study the Euclidean minimum spanning tree problem in an imprecise setup. The problem is known as the \emph{Minimum Spanning Tree Problem with Neighborhoods} in the literature. We study the problem where the neighborhoods…

Computational Geometry · Computer Science 2021-04-12 Sanjana Dey , Ramesh K. Jallu , Subhas C. Nandy

The online (uniform) buy-at-bulk network design problem asks us to design a network, where the edge-costs exhibit economy-of-scale. Previous approaches to this problem used tree- embeddings, giving us randomized algorithms. Moreover, the…

Data Structures and Algorithms · Computer Science 2016-11-02 Anupam Gupta , R. Ravi , Kunal Talwar , Seeun William Umboh

This paper studies a distributed online convex optimization problem, where agents in an unbalanced network cooperatively minimize the sum of their time-varying local cost functions subject to a coupled inequality constraint. To solve this…

Optimization and Control · Mathematics 2023-09-06 Dandan Wang , Daokuan Zhu , Kin Cheong Sou , Jie Lu

In recent years, Deep Neural Networks (DNNs) have gained progressive momentum in many areas of machine learning. The layer-by-layer process of DNNs has inspired the development of many deep models, including deep ensembles. The most notable…

Machine Learning · Computer Science 2020-02-28 Anh Vu Luong , Tien Thanh Nguyen , Alan Wee-Chung Liew

Existing traffic engineering (TE) solutions performs well for software defined network (SDN) in average cases. However, during peak hours, bursty traffic spikes are challenging to handle, because it is difficult to react in time and…

Networking and Internet Architecture · Computer Science 2019-09-23 Che Zhang , Shiwei Zhang , Yi Wang , Weichao Li , Bo Jin , Ricky K. P. Mok , Qing Li , Hong Xu

For the well-known Survivable Network Design Problem (SNDP) we are given an undirected graph $G$ with edge costs, a set $R$ of terminal vertices, and an integer demand $d_{s,t}$ for every terminal pair $s,t\in R$. The task is to compute a…

Data Structures and Algorithms · Computer Science 2022-11-09 Andreas Emil Feldmann , Anish Mukherjee , Erik Jan van Leeuwen

In modern transportation systems, an enormous amount of traffic data is generated every day. This has led to rapid progress in short-term traffic prediction (STTP), in which deep learning methods have recently been applied. In traffic…

Machine Learning · Computer Science 2020-09-03 Kyungeun Lee , Moonjung Eo , Euna Jung , Yoonjin Yoon , Wonjong Rhee

Network design under uncertainty arises in countless real-world settings and can be captured by the Stochastic Steiner Tree Problem (SSTP). Although there are a few approaches specifically tailored to this stochastic optimization problem,…

Optimization and Control · Mathematics 2026-03-02 Berend Markhorst , Alessandro Zocca , Joost Berkhout , Rob van der Mei

Software Defined Networking (SDN) is an emerging technology of efficiently controlling and managing computer networks, such as in data centres, Wide Area Networks (WANs), as well as in ubiquitous communication. In this paper, we explore the…

Networking and Internet Architecture · Computer Science 2020-12-15 Anees Al-Najjar , Furqan Hameed Khan , Marius Portmann