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Dynamic Connectivity is a fundamental algorithmic graph problem, motivated by a wide range of applications to social and communication networks and used as a building block in various other algorithms, such as the bi-connectivity and the…

数据结构与算法 · 计算机科学 2021-05-19 Alexander Fedorov , Nikita Koval , Dan Alistarh

Internet censorship and global Internet reachability are prevalent topics of today's Internet. Nonetheless, the impact of network topology and Internet architecture to these aspects of the Internet is under-explored. With the goal of…

网络与互联网体系结构 · 计算机科学 2024-07-19 Marina Ivanović , François Wirz , Jordi Subirà Nieto , Adrian Perrig

A family of graphs optimized as the topologies for supercomputer interconnection networks is proposed. The special needs of such network topologies, minimal diameter and mean path length, are met by special constructions of the weight…

离散数学 · 计算机科学 2017-06-30 Alexandre F. Ramos , Yuefan Deng

We study the complexity of the Virtual Network Embedding Problem (VNE), which is the combinatorial core of several telecommunication problems related to the implementation of virtualization technologies, such as Network Slicing. VNE is to…

离散数学 · 计算机科学 2025-01-20 Amal Benhamiche , Pierre Fouilhoux , Lucas Létocart , Nancy Perrot , Alexis Schneider

Recent work on mode connectivity in the loss landscape of deep neural networks has demonstrated that the locus of (sub-)optimal weight vectors lies on continuous paths. In this work, we train a neural network that serves as a hypernetwork,…

机器学习 · 统计学 2019-05-09 Lior Deutsch , Erik Nijkamp , Yu Yang

An intuitive overview of the scalability of a variety of types of wireless networks is presented. Simple heuris- tic arguments are demonstrated here for scaling laws presented in other works, as well as for conditions not previously…

信息论 · 计算机科学 2016-11-26 Linda Zeger , Muriel Médard

Controlling real-world networked systems, including ecological, biomedical, and engineered networks that exhibit higher-order interactions, remains challenging due to inherent nonlinearities and large system scales. Despite extensive…

最优化与控制 · 数学 2026-03-23 Joshua Pickard , Xin Mao , Can Chen

Graph neural networks (GNNs) have emerged as a powerful tool for graph classification and representation learning. However, GNNs tend to suffer from over-smoothing problems and are vulnerable to graph perturbations. To address these…

机器学习 · 计算机科学 2021-11-01 Yuzhou Chen , Baris Coskunuzer , Yulia R. Gel

We model the robustness against random failure or intentional attack of networks with arbitrary large-scale structure. We construct a block-based model which incorporates --- in a general fashion --- both connectivity and interdependence…

物理与社会 · 物理学 2012-09-25 Tiago P. Peixoto , Stefan Bornholdt

Preferential attachment is the most popular explanation for the emergence of scaling behavior in the World Wide Web, but this explanation has been challenged by the global information hypothesis, the existence of linear preference and the…

社会与信息网络 · 计算机科学 2015-05-27 Bojin Zheng , Jianmin Wang , Guisheng Chen , Jian Jiang , Xianjun Shen

TCP's poor performance is identified as the bottleneck of high-speed networks. Extensions to TCP have been proposed and implemented. Some authors abandon TCP at all and suggest new transport protocols to overcome TCP limitations, at the…

网络与互联网体系结构 · 计算机科学 2017-05-26 Rui Policarpo Duarte

High-Performance Computing (HPC) clusters are made up of a variety of node types (usually compute, I/O, service, and GPGPU nodes) and applications don't use nodes of a different type the same way. Resulting communication patterns reflect…

分布式、并行与集群计算 · 计算机科学 2022-11-23 John Gliksberg , Jean-Noel Quintin , Pedro Javier Garcia

This paper revisits the notion of a spanning hypertree of a hypermap introduced by one of its authors and shows that it allows to shed new light on a very diverse set of recent results. The tour of a map along one of its spanning trees used…

组合数学 · 数学 2022-06-30 Robert Cori , Gábor Hetyei

Betweenness centrality lies at the core of both transport and structural vulnerability properties of complex networks, however, it is computationally costly, and its measurement for networks with millions of nodes is near impossible. By…

物理与社会 · 物理学 2015-05-18 Maria Ercsey-Ravasz , Zoltan Toroczkai

The first dual-port server-centric datacenter network, FiConn, was introduced in 2009 and there are several others now in existence; however, the pool of topologies to choose from remains small. We propose a new generic construction, the…

分布式、并行与集群计算 · 计算机科学 2016-06-29 Alejandro Erickson , and Iain A. Stewart , Javier Navaridas , Abbas E. Kiasari

The topology of any complex system is key to understanding its structure and function. Fundamentally, algebraic topology guarantees that any system represented by a network can be understood through its closed paths. The length of each path…

统计方法学 · 统计学 2017-05-17 Pierre-André G. Maugis , Sofia C. Olhede , Patrick J. Wolfe

Data center applications require the network to be scalable and bandwidth-rich. Current data center network architectures often use rigid topologies to increase network bandwidth. A major limitation is that they can hardly support…

网络与互联网体系结构 · 计算机科学 2017-11-23 Ye Yu , Chen Qian

We investigate the differences between distributing entanglement using star and ring type network topologies. Assuming symmetrically distributed users, we asses the relative merits of the two network topologies as a function of the number…

量子物理 · 物理学 2009-11-07 A. Hutton , S. Bose

Compatibility of unrooted phylogenetic trees is a well studied problem in phylogenetics. It asks to determine whether for a set of k input trees there exists a larger tree (called a supertree) that contains the topologies of all k input…

离散数学 · 计算机科学 2014-03-03 Alexander Grigoriev , Steven Kelk , Nela Lekic

A number of important transport networks, such as the airline and trade networks of the world, exhibit a characteristic core-periphery structure, wherein a few nodes are highly interconnected and the rest of the network frays into a tree.…

物理与社会 · 物理学 2016-02-17 T. Verma , F. Russmann , N. A. M. Araújo , J. Nagler , H. J. Herrmann