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We consider the problem of constructing a single spanning tree for the single-source buy-at-bulk network design problem for doubling-dimension graphs. We compute a spanning tree to route a set of demands (or data) along a graph to or from a…

Data Structures and Algorithms · Computer Science 2010-04-05 Srivathsan Srinivasagopalan , Costas Busch , S. S. Iyengar

We study network design with a cost structure motivated by redundancy in data traffic. We are given a graph, g groups of terminals, and a universe of data packets. Each group of terminals desires a subset of the packets from its respective…

Data Structures and Algorithms · Computer Science 2013-07-31 Siddharth Barman , Shuchi Chawla , Seeun Umboh

Motivated by hierarchical networks, we introduce the Flow-weighted Layered Metric Euclidean Capacitated Steiner Tree (FLaMECaST) problem, a variant of the Euclidean Steiner tree with layered structure and capacity constraints per layer. The…

Data Structures and Algorithms · Computer Science 2025-08-28 Thomas Bläsius , Henrik Csöre , Max Göttlicher , Elly Schmidt , Wendy Yi

Given two sets of points in the plane, $P$ of $n$ terminals and $S$ of $m$ Steiner points, a Steiner tree of $P$ is a tree spanning all points of $P$ and some (or none or all) points of $S$. A Steiner tree with length of longest edge…

Computational Geometry · Computer Science 2010-12-08 A. Karim Abu-Affash

In this paper we design and prove correct a fully dynamic distributed algorithm for maintaining an approximate Steiner tree that connects via a minimum-weight spanning tree a subset of nodes of a network (referred as Steiner members or…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-05-13 Lélia Blin , Maria Gradinariu Potop-Butucaru , Stephane Rovedakis

Previous research on SDN traffic engineering mostly focuses on static traffic, whereas dynamic traffic, though more practical, has drawn much less attention. Especially, online SDN multicast that supports IETF dynamic group membership…

Networking and Internet Architecture · Computer Science 2025-10-23 Sheng-Hao Chiang , Jian-Jhih Kuo , Shan-Hsiang Shen , De-Nian Yang , Wen-Tsuen Chen

Given an undirected graph $G = (V, E)$ and a weight function $w:E \to \mathbb{R}$, the \textsc{Minimum Dominating Tree} problem asks to find a minimum weight sub-tree of $G$, $T = (U, F)$, such that every $v \in V \setminus U$ is adjacent…

Computational Complexity · Computer Science 2018-02-14 Gilad Kutiel

The geometric bottleneck Steiner network problem on a set of vertices $X$ embedded in a normed plane requires one to construct a graph $G$ spanning $X$ and a variable set of $k\geq 0$ additional points, such that the length of the longest…

Combinatorics · Mathematics 2013-01-22 M. Brazil , C. J. Ras , D. A. Thomas

We consider the communication capacity of wireline networks for a two-unicast traffic pattern. The network has two sources and two destinations with each source communicating a message to its own destination, subject to the capacity…

Information Theory · Computer Science 2015-06-04 Sudeep Kamath , Venkat Anantharam , David Tse , Chih-Chun Wang

We study the store-and-forward packet routing problem for simultaneous multicasts, in which multiple packets have to be forwarded along given trees as fast as possible. This is a natural generalization of the seminal work of Leighton, Maggs…

Data Structures and Algorithms · Computer Science 2021-05-04 Bernhard Haeupler , D Ellis Hershkowitz , David Wajc

As modern DNN models grow ever larger, collective communications between the accelerators (allreduce, etc.) emerge as a significant performance bottleneck. Designing efficient communication schedules is challenging, given today's…

Networking and Internet Architecture · Computer Science 2025-09-22 Liangyu Zhao , Saeed Maleki , Yuanhong Wang , Zezhou Wang , Ziyue Yang , Hossein Pourreza , Arvind Krishnamurthy

Smart grids have received much attention in recent years in order to optimally manage the resources, transmission and consumption of electric power.In these grids, one of the most important communication services is the multicast service.…

Networking and Internet Architecture · Computer Science 2022-02-08 Farid Sorouri

A multi-antenna transmitter that conveys independent sets of common data to distinct groups of users is herein considered, a model known as physical layer multicasting to multiple co-channel groups. In the recently proposed context of…

Information Theory · Computer Science 2016-11-15 Dimitrios Christopoulos , Symeon Chatzinotas , Bjorn Ottersten

We study a generalization of the Steiner tree problem, where we are given a weighted network $G$ together with a collection of $k$ subsets of its vertices and a root $r$. We wish to construct a minimum cost network such that the network…

Data Structures and Algorithms · Computer Science 2017-07-12 Guru Guruganesh , Jennifer Iglesias , R. Ravi , Laura Sanità

All-to-all data transmission is a typical data transmission pattern in blockchain systems. Developing an optimization scheme that provides high throughput and low latency data transmission can significantly benefit the performance of those…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-03-11 Hao Tan , Wojciech Golab

Although Software-Defined Networking (SDN) enables flexible network resource allocations for traffic engineering, current literature mostly focuses on unicast communications. Compared to traffic engineering for multiple unicast flows,…

Networking and Internet Architecture · Computer Science 2016-01-27 Liang-Hao Huang , Hsiang-Chun Hsu , Shan-Hsiang Shen , De-Nian Yang , Wen-Tsuen Chen

In this paper, we optimize the energy efficiency (bits/s/Hz/J) of device-to-multi-device (D2MD) wireless communications. While the device-to-device scenario has been extensively studied to improve the spectral efficiency in cellular…

Networking and Internet Architecture · Computer Science 2019-08-19 Mariem Hmila , Manuel Fernández-Veiga , Miguel Rodríguez-Pérez , Sergio Herrería-Alonso

Anycast is an internet addressing protocol where multiple hosts share the same IP-address. A popular architecture for modern Content Distribution Networks (CDNs) for geo-replicated services consists of multiple layers of proxy nodes for…

Networking and Internet Architecture · Computer Science 2016-03-02 Abhishek Sinha , Pradeepkumar Mani , Jie Liu , Ashley Flavel , Dave Maltz

In a generalized network design (GND) problem, a set of resources are assigned to multiple communication requests. Each request contributes its weight to the resources it uses and the total load on a resource is then translated to the cost…

Computer Science and Game Theory · Computer Science 2018-03-15 Yuval Emek , Shay Kutten , Ron Lavi , Yangguang Shi

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