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Related papers: Communication Bottlenecks in Scale-Free Networks

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Many complex systems--from social and communication networks to biological networks and the Internet--are thought to exhibit scale-free structure. However, prevailing explanations rely on the constant addition of new nodes, an assumption…

Adaptation and Self-Organizing Systems · Physics 2022-11-10 Christopher W. Lynn , Caroline M. Holmes , Stephanie E. Palmer

In this paper we study the controllability of networked systems with static network topologies using tools from algebraic graph theory. Each agent in the network acts in a decentralized fashion by updating its state in accordance with a…

Systems and Control · Computer Science 2013-02-12 Ahmet Yasin Yazicioglu , Waseem Abbas , Magnus Egerstedt

Probabilistic message-passing algorithms are developed for routing transmissions in multi-wavelength optical communication networks, under node and edge-disjoint routing constraints and for various objective functions. Global routing…

Physics and Society · Physics 2022-04-25 Yi-Zhi Xu , Ho Fai Po , Chi Ho Yeung , David Saad

We present PIE, a scalable routing scheme that achieves 100% packet delivery and low path stretch. It is easy to implement in a distributed fashion and works well when costs are associated to links. Scalability is achieved by using virtual…

Networking and Internet Architecture · Computer Science 2013-05-10 Julien Herzen , Cedric Westphal , Patrick Thiran

A majority of studied models for scale-free networks have degree distributions with exponents greater than $2$. Real networks, however, can demonstrate essentially more heavy-tailed degree distributions. We explore two models of scale-free…

Physics and Society · Physics 2016-12-14 Gábor Timár , Sergey N. Dorogovtsev , José Fernando F. Mendes

We introduce a random bit-string model of post-transcriptional genetic regulation based on sequence matching. The model spontaneously yields a scale free network with power law scaling with $ \gamma=-1$ and also exhibits log-periodic…

Genomics · Quantitative Biology 2009-11-10 Duygu Balcan , Ayse Erzan

We investigate the effect of incomplete information on the growth process of scale-free networks - a situation that occurs frequently e.g. in real existing citation networks. Two models are proposed and solved analytically for the scaling…

Other Condensed Matter · Physics 2007-05-23 K. Hamacher

We study the topology of e-mail networks with e-mail addresses as nodes and e-mails as links using data from server log files. The resulting network exhibits a scale-free link distribution and pronounced small-world behavior, as observed in…

Disordered Systems and Neural Networks · Physics 2009-11-07 Holger Ebel , Lutz-Ingo Mielsch , Stefan Bornholdt

A common way to accelerate shortest path algorithms on graphs is the use of a bidirectional search, which simultaneously explores the graph from the start and the destination. It has been observed recently that this strategy performs…

Data Structures and Algorithms · Computer Science 2022-03-17 Thomas Bläsius , Cedric Freiberger , Tobias Friedrich , Maximilian Katzmann , Felix Montenegro-Retana , Marianne Thieffry

We analyze the degree distribution's cut-off in finite size scale-free networks. We show that the cut-off behavior with the number of vertices $N$ is ruled by the topological constraints induced by the connectivity structure of the network.…

Disordered Systems and Neural Networks · Physics 2009-11-10 Marian Boguna , Romualdo Pastor-Satorras , Alessandro Vespignani

This paper studies regulated state synchronization of homogeneous networks of non-introspective agents in presence of unknown nonuniform input delays. A scale-free protocol is designed based on additional information exchange, which does…

Systems and Control · Electrical Eng. & Systems 2020-01-08 Zhenwei Liu , Donya Nojavanzadeh , Dmitri Saberi , Ali Saberi , Anton A. Stoorvogel

The coupling of scale-free networks with mobile unstructured networks is certainly unusual. In mobile networks, connections active at a given instant are constrained by the geographical distribution of mobile nodes, and by the limited…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-11-17 Stefano Ferretti , Vittorio Ghini

Many complex natural and physical systems exhibit patterns of interconnection that conform, approximately, to a network structure referred to as scale-free. Preferential attachment is one of many algorithms that have been introduced to…

Physics and Society · Physics 2014-11-18 Linjun Zhang , Michael Small , Kevin Judd

The right performance of a supply chain depends on the pattern of relationships among firms. Although there is not a general consensus among researchers yet, many studies point that scale-free topologies, where few highly related firms are…

Social and Information Networks · Computer Science 2016-12-01 Juan M. Hernández , Carmen Pedroza

In this paper we improve the approximation ratio for the problem of scheduling packets on line networks with bounded buffers, where the aim is that of maximizing the throughput. Each node in the network has a local buffer of bounded size…

Data Structures and Algorithms · Computer Science 2020-09-30 Guy Even , Moti Medina , Adi Rosén

Using the formalism of the biased random walk in random uncorrelated networks with arbitrary degree distributions, we develop theoretical approach to the critical packet generation rate in traffic based on routing strategy with local…

Physics and Society · Physics 2015-06-05 Piotr Fronczak

Recent empirical studies have reported that spatiotemporal congestion clusters in urban traffic exhibit scale-free statistics, with cluster size following a power-law distribution. In this study, we address whether macroscopic continuum…

Physics and Society · Physics 2026-04-08 Yuki Chiba , Norikazu Saito , Yuki Ueda , Hiroaki Yoshida

Wireless information-centric networks consider storage as one of the network primitives, and propose to cache data within the network in order to improve latency and reduce bandwidth consumption. We study the throughput capacity and delay…

Networking and Internet Architecture · Computer Science 2015-05-01 Bita Azimdoost , Cedric Westphal , Hamid R. Sadjadpour

The instability introduced in a large scale-free network by the triggering of node-breaking avalanches is analyzed using the fiber-bundle model as conceptual framework. We found, by measuring the size of the giant component, the avalanche…

Statistical Mechanics · Physics 2016-08-16 Y. Moreno , J. B. Gómez , A. F. Pacheco

Random graphs with power-law degrees can model scale-free networks as sparse topologies with strong degree heterogeneity. Mathematical analysis of such random graphs proved successful in explaining scale-free network properties such as…

Physics and Society · Physics 2019-05-24 Clara Stegehuis , Remco van der Hofstad , Johan S. H. van Leeuwaarden