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Given a social network, which of its nodes are more central? This question has been asked many times in sociology, psychology and computer science, and a whole plethora of centrality measures (a.k.a. centrality indices, or rankings) were…

数据结构与算法 · 计算机科学 2013-08-13 Paolo Boldi , Sebastiano Vigna

We consider the problem of determining the proportion of edges that are discovered in an Erdos-Renyi graph when one constructs all shortest paths from a given source node to all other nodes. This problem is equivalent to the one of…

Network optimization strategies for the process of synchronization have generally focused on the re-wiring or re-weighting of links in order to: (1) expand the range of coupling strengths that achieve synchronization, (2) expand the basin…

适应与自组织系统 · 物理学 2022-02-14 C. Tyler Diggans , Jeremie Fish , Abd AlRahman R. AlMomani , Erik M. Bollt

Mobile edge computing is beneficial to reduce service response time and core network traffic by pushing cloud functionalities to network edge. Equipped with storage and computation capacities, edge nodes can cache services of…

网络与互联网体系结构 · 计算机科学 2020-02-05 Xiao Ma , Ao Zhou , Shan Zhang , Shangguang Wang

We show that the eccentricities (and thus the centrality indices) of all vertices of a $\delta$-hyperbolic graph $G=(V,E)$ can be computed in linear time with an additive one-sided error of at most $c\delta$, i.e., after a linear time…

数据结构与算法 · 计算机科学 2018-05-21 Victor Chepoi , Feodor F. Dragan , Michel Habib , Yann Vaxès , Hend Al-Rasheed

Recently we presented the first algorithm for maintaining the set of nodes reachable from a source node in a directed graph that is modified by edge deletions with $o(mn)$ total update time, where $m$ is the number of edges and $n$ is the…

数据结构与算法 · 计算机科学 2016-12-13 Monika Henzinger , Sebastian Krinninger , Danupon Nanongkai

We study the consensus problem in a synchronous distributed system of $n$ nodes under an adaptive adversary that has a slightly outdated view of the system and can block all incoming and outgoing communication of a constant fraction of the…

分布式、并行与集群计算 · 计算机科学 2018-05-03 Peter Robinson , Christian Scheideler , Alexander Setzer

Only when understanding hackers' tactics, can we thwart their attacks. With this spirit, this paper studies how hackers can effectively launch the so-called 'targeted node attacks', in which iterative attacks are staged on a network, and in…

网络与互联网体系结构 · 计算机科学 2022-11-18 Balume Mburano , Weisheng Si , Qing Cao , Wei Xing Zheng

We consider edge insertion and deletion operations that increase the connectivity of a given planar straight-line graph (PSLG), while minimizing the total edge length of the output. We show that every connected PSLG $G=(V,E)$ in general…

This paper examines the $\mathcal{H}_\infty$ performance problem of the edge agreement protocol for networks of agents operating on independent time scales, connected by weighted edges, and corrupted by exogenous disturbances.…

最优化与控制 · 数学 2021-07-08 Omar Farhat , Dany Abou Jaoude , Mathias Hudoba de Badyn

Following [21, 23], the present work investigates a new relative entropy-regularized algorithm for solving the optimal transport on a graph problem within the randomized shortest paths formalism. More precisely, a unit flow is injected into…

机器学习 · 计算机科学 2021-09-21 Sylvain Courtain , Guillaume Guex , Ilkka Kivimaki , Marco Saerens

Let $P$ be a path graph of $n$ vertices embedded in a metric space. We consider the problem of adding a new edge to $P$ so that the radius of the resulting graph is minimized, where any center is constrained to be one of the vertices of…

数据结构与算法 · 计算机科学 2020-06-26 Haitao Wang , Yiming Zhao

We consider the task of decentralized minimization of the sum of smooth strongly convex functions stored across the nodes of a network. For this problem, lower bounds on the number of gradient computations and the number of communication…

最优化与控制 · 数学 2020-11-16 Dmitry Kovalev , Adil Salim , Peter Richtárik

This paper develops a mathematical framework to study signal networks, in which nodes can be active or inactive, and their activation or deactivation is driven by external signals and the states of the nodes to which they are connected via…

概率论 · 数学 2025-10-14 Bernd Heidergott , Frank den Hollander , Ines Lindner , Azadeh Parvaneh

Today, there exist many centrality measures for assessing the importance of nodes in a network as a function of their position and the underlying topology. One class of such measures builds on eigenvector centrality, where the importance of…

社会与信息网络 · 计算机科学 2020-02-28 James B Glattfelder

In recent years, the notion of r-robustness for the communication graph of the network has been introduced to address the challenge of achieving consensus in the presence of misbehaving agents. Higher r-robustness typically implies higher…

系统与控制 · 电气工程与系统科学 2025-04-14 Haejoon Lee , Dimitra Panagou

In today's world, a vast amount of data is being generated by edge devices that can be used as valuable training data to improve the performance of machine learning algorithms in terms of the achieved accuracy or to reduce the compute…

计算机视觉与模式识别 · 计算机科学 2020-06-18 Aditya Rajagopal , Christos-Savvas Bouganis

In complex networks, each node has some unique characteristics that define the importance of the node based on the given application-specific context. These characteristics can be identified using various centrality metrics defined in the…

社会与信息网络 · 计算机科学 2020-11-17 Akrati Saxena , Sudarshan Iyengar

There has been significant interest in the networking community on the impact of cascade effects on the diffusion of networking technology upgrades in the Internet. Thinking of the global Internet as a graph, where each node represents an…

社会与信息网络 · 计算机科学 2015-03-20 Sharon Goldberg , Zhenming Liu

Smart city projects aim to enhance the management of city infrastructure by enabling government entities to monitor, control and maintain infrastructure efficiently through the deployment of Internet-of-things (IoT) devices. However, the…

网络与互联网体系结构 · 计算机科学 2021-03-19 Oluwashina Madamori , Esther Max-Onakpoya , Gregory D. Erhardt , Corey E. Baker
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