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The Minimum Weight Steiner Tree (MST) is an important combinatorial optimization problem over networks that has applications in a wide range of fields. Here we discuss a general technique to translate the imposed global connectivity…

Statistical Mechanics · Physics 2009-11-13 M. Bayati , C. Borgs , A. Braunstein , J. Chayes , A. Ramezanpour , R. Zecchina

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

Dynamic programming on tree decompositions is a frequently used approach to solve otherwise intractable problems on instances of small treewidth. In recent work by Bodlaender et al., it was shown that for many connectivity problems, there…

Data Structures and Algorithms · Computer Science 2013-06-03 Stefan Fafianie , Hans L. Bodlaender , Jesper Nederlof

Deep neural networks (DNNs) have delivered a remarkable performance in many tasks of computer vision. However, over-parameterized representations of popular architectures dramatically increase their computational complexity and storage…

Computer Vision and Pattern Recognition · Computer Science 2022-05-31 Chang Nie , Huan Wang , Lu Zhao

Finding spanning trees under various constraints is a classic problem with applications in many fields. Recently, a novel notion of "dense" ("sparse") tree, and in particular spanning tree (DST and SST respectively), is introduced as the…

Optimization and Control · Mathematics 2020-05-29 Mustafa Ozen , Goran Lesaja , Hua Wang

Data center applications use multicast as an effective method to reduce bandwidth cost. However, traditional multicast protocols designed for IP networks are usually bottlenecked by the limited state capacity on switches. In this paper, we…

Networking and Internet Architecture · Computer Science 2014-04-01 Wenzhi Cui , Chen Qian

Multicast data delivery can significantly reduce traffic in operators' networks, but has been limited in deployment due to concerns such as the scalability of state management. This paper shows how multicast can be implemented in…

Networking and Internet Architecture · Computer Science 2015-11-20 Martin J. Reed , Mays Al-Naday , Nikolaos Thomos , Dirk Trossen , George Petropoulos , Spiros Spirou

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

In the Steiner Tree problem we are given an undirected edge-weighted graph as input, along with a set $K$ of vertices called terminals. The task is to output a minimum-weight connected subgraph that spans all the terminals. The famous…

Data Structures and Algorithms · Computer Science 2024-07-01 Bart M. P. Jansen , Céline M. F. Swennenhuis

Software-defined network (SDN) is a new approach that allows network control to become directly programmable, and the underlying infrastructure can be abstracted from applications and network services. Control plane). When it comes to…

Cryptography and Security · Computer Science 2024-11-12 Muhammad Zawad Mahmud , Shahran Rahman Alve , Samiha Islam , Mohammad Monirujjaman Khan

The paper investigates theoretical issues in applying the universal swarming technique to efficient content distribution. In a swarming session, a file is distributed to all the receivers by having all the nodes in the session exchange file…

Networking and Internet Architecture · Computer Science 2013-06-04 Xiaoying Zheng , Chunglae Cho , Ye Xia

Software-Defined Networking (SDN) allows to control the available network resources by an intelligent and centralized authority in order to optimize traffic flows in a flexible manner. However, centralized control may face scalability…

Networking and Internet Architecture · Computer Science 2014-08-29 Benjamin J. van Asten , Niels L. M. van Adrichem , Fernando A. Kuipers

In the classical Steiner tree problem, given an undirected, connected graph $G=(V,E)$ with non-negative edge costs and a set of \emph{terminals} $T\subseteq V$, the objective is to find a minimum-cost tree $E' \subseteq E$ that spans the…

The structural design of functional molecules, also called molecular optimization, is an essential chemical science and engineering task with important applications, such as drug discovery. Deep generative models and combinatorial…

Machine Learning · Computer Science 2022-01-25 Tianfan Fu , Wenhao Gao , Cao Xiao , Jacob Yasonik , Connor W. Coley , Jimeng Sun

A widely studied problem in communication networks is that of finding the maximum number of communication requests that can be scheduled concurrently, subject to node and/or link capacity constraints. In this paper, we consider the problem…

Data Structures and Algorithms · Computer Science 2020-05-25 Yuval Emek , Shay Kutten , Mordechai Shalom , Shmuel Zaks

Given a graph $G = (V,E)$ and a subset $T \subseteq V$ of terminals, a \emph{Steiner tree} of $G$ is a tree that spans $T$. In the vertex-weighted Steiner tree (VST) problem, each vertex is assigned a non-negative weight, and the goal is to…

Data Structures and Algorithms · Computer Science 2019-05-07 Faryad Darabi Sahneh , Alon Efrat , Stephen Kobourov , Spencer Krieger , Richard Spence

The exponential growth of multimedia data traffic in 6G networks poses unprecedented challenges for immersive communication, where ultra-high-definition, multi-quality streaming must be delivered on demand while minimizing network…

Networking and Internet Architecture · Computer Science 2025-07-08 Zien Wang , Xiucheng Wang , Nan Cheng , Wenchao Xu , Wei Quan , Ruijin Sun , Conghao Zhou

Given an edge-weighted graph and a set of known seed vertices, a network scientist often desires to understand the graph relationships to explain connections between the seed vertices. When the seed set is 3 or larger Steiner minimal tree -…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-05-31 Tahsin Reza , Geoffrey Sanders , Roger Pearce

Structure Learning for Bayesian network (BN) is an important problem with extensive research. It plays central roles in a wide variety of applications in Alibaba Group. However, existing structure learning algorithms suffer from…

Machine Learning · Computer Science 2020-12-08 Rong Zhu , Andreas Pfadler , Ziniu Wu , Yuxing Han , Xiaoke Yang , Feng Ye , Zhenping Qian , Jingren Zhou , Bin Cui

Bayesian Additive Regression Trees(BART) is a Bayesian nonparametric approach which has been shown to be competitive with the best modern predictive methods such as random forest and Gradient Boosting Decision Tree.The sum of trees…

Applications · Statistics 2021-08-27 Hao Ran , Yang Bai