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We consider the problem of distilling efficient network topologies for collective communications. We provide an algorithmic framework for constructing direct-connect topologies optimized for the latency vs. bandwidth trade-off associated…

网络与互联网体系结构 · 计算机科学 2025-02-04 Liangyu Zhao , Siddharth Pal , Tapan Chugh , Weiyang Wang , Jason Fantl , Prithwish Basu , Joud Khoury , Arvind Krishnamurthy

Multiple scales coexist in complex networks. However, the small world property makes them strongly entangled. This turns the elucidation of length scales and symmetries a defiant challenge. Here, we define a geometric renormalization group…

无序系统与神经网络 · 物理学 2018-07-04 Guillermo García-Pérez , Marián Boguñá , M. Ángeles Serrano

Many complex systems can be described in terms of networks of interacting units. Recent studies have shown that a wide class of both natural and artificial nets display a surprisingly widespread feature: the presence of highly heterogeneous…

无序系统与神经网络 · 物理学 2007-05-23 R. Ferrer i Cancho , R. V. Sole

Although most networks in nature exhibit complex topology the origins of such complexity remains unclear. We introduce a model of a growing network of interacting agents in which each new agent's membership to the network is determined by…

无序系统与神经网络 · 物理学 2009-09-02 J. I. Perotti , O. V. Billoni , F. A. Tamarit , D. R. Chialvo , S. A. Cannas

We review our recent work on the synchronization of a network of delay-coupled maps, focusing on the interplay of the network topology and the delay times that take into account the finite velocity of propagation of interactions. We assume…

混沌动力学 · 物理学 2009-11-13 Arturo C. Martí , Marcelo Ponce , Cristina Masoller

Networks in nature are often formed within a spatial domain in a dynamical manner, gaining links and nodes as they develop over time. We propose a class of spatially-based growing network models and investigate the relationship between the…

物理与社会 · 物理学 2013-12-30 Ari Zitin , Alex Gorowora , Shane Squires , Mark Herrera , Thomas M. Antonsen , Michelle Girvan , Edward Ott

Synchrony is one of the most common dynamical states emerging on networks. The speed of convergence towards synchrony provides a fundamental collective time scale for synchronizing systems. Here we study the asymptotic synchronization times…

无序系统与神经网络 · 物理学 2015-06-30 Carsten Grabow , Stefan Grosskinsky , Marc Timme

The increasing demands in security and reliability of infrastructures call for the optimal design of their embedded complex networks topologies. The following question then arises: what is the optimal layout to fulfill best all the demands?…

物理与社会 · 物理学 2014-06-30 C. I. N. Sampaio Filho , A. A. Moreira , R. F. S. Andrade , H. J. Herrmann , J. S. Andrade

A method for embedding graphs in Euclidean space is suggested. The method connects nodes to their geographically closest neighbors and economizes on the total physical length of links. The topological and geometrical properties of…

凝聚态物理 · 物理学 2007-05-23 Daniel ben-Avraham , Alejandro F. Rozenfeld , Reuven Cohen , Shlomo Havlin

Scale-free networks are abundant in nature and society, describing such diverse systems as the world wide web, the web of human sexual contacts, or the chemical network of a cell. All models used to generate a scale-free topology are…

统计力学 · 物理学 2009-11-07 Albert-Laszlo Barabasi , Erzsebet Ravasz , Tamas Vicsek

The problem of anonymous networking when an eavesdropper observes packet timings in a communication network is considered. The goal is to hide the identities of source-destination nodes, and paths of information flow in the network. One way…

网络与互联网体系结构 · 计算机科学 2012-11-14 J. Ghaderi , R. Srikant

Combinations of random and preferential growth for both on-growing and stationary networks are studied and a hierarchical topology is observed. Thus for real world scale-free networks which do not exhibit hierarchical features preferential…

无序系统与神经网络 · 物理学 2015-06-24 Andreas Gronlund , Kim Sneppen , Petter Minnhagen

A common feature of biological networks is the geometric property of self-similarity. Molecular regulatory networks through to circulatory systems, nervous systems, social systems and ecological trophic networks, show self-similar…

分子网络 · 定量生物学 2012-03-09 Simon DeDeo , David C. Krakauer

Complex networks as the World Wide Web, the web of human sexual contacts or criminal networks often do not have an engineered architecture but instead are self-organized by the actions of a large number of individuals. From these local…

无序系统与神经网络 · 物理学 2007-05-23 Holger Ebel , Joern Davidsen , Stefan Bornholdt

There are many networks in real life which exist as form of Scale-free networks such as World Wide Web, protein-protein interaction network, semantic networks, airline networks, interbank payment networks, etc. If we want to analyze these…

社会与信息网络 · 计算机科学 2026-03-23 Rakib Hassan Pran

A complete understanding of real networks requires us to understand the consequences of the uneven interaction strengths between a system's components. Here we use the minimum spanning tree (MST) to explore the effect of weight assignment…

无序系统与神经网络 · 物理学 2007-05-23 P. J. Macdonald , E. Almaas , A. -L. Barabasi

We study the large-scale topological and dynamical properties of real Internet maps at the autonomous system level, collected in a three years time interval. We find that the connectivity structure of the Internet presents average…

统计力学 · 物理学 2009-11-07 Alexei Vazquez , Romualdo Pastor-Satorras , Alessandro Vespignani

The analysis of networks characterized by links with heterogeneous intensity or weight suffers from two long-standing problems of arbitrariness. On one hand, the definitions of topological properties introduced for binary graphs can be…

数据分析、统计与概率 · 物理学 2014-04-28 Diego Garlaschelli , Sebastian E. Ahnert , Thomas M. A. Fink , Guido Caldarelli

In this paper, we explore the relationship between the topological characteristics of a complex network and its robustness to sustained targeted attacks. Using synthesised scale-free, small-world and random networks, we look at a number of…

物理与社会 · 物理学 2014-02-27 Dharshana Kasthurirathna , Mahendra Piraveenan , Gnanakumar Thedchanamoorthy

It has been proposed that adaptation in complex systems is optimized at the critical boundary between ordered and disordered dynamical regimes. Here, we review models of evolving dynamical networks that lead to self-organization of network…

适应与自组织系统 · 物理学 2008-11-07 Thimo Rohlf , Stefan Bornholdt