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Besides the complexity in time or in number of messages, a common approach for analyzing distributed algorithms is to look at the assumptions they make on the underlying network. We investigate this question from the perspective of network…

分布式、并行与集群计算 · 计算机科学 2014-05-02 Arnaud Casteigts , Serge Chaumette , Afonso Ferreira

The description of the Internet topology is an important open problem, recently tackled with the introduction of scale-free networks. In this paper we focus on the topological and dynamical properties of real Internet maps in a three years…

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

A determinant property of the structure of a biological network is the distribution of local connectivity patterns, i.e., network motifs. In this work, a method for creating directed, unweighted networks while promoting a certain…

社会与信息网络 · 计算机科学 2016-07-29 Tuomo Mäki-Marttunen

Filamentous polymer networks govern the mechanical properties of many biological materials. Force distributions within these networks are typically highly inhomogeneous and, although the importance of force distributions for structural…

Through the past decade the field of network science has established itself as a common ground for the cross-fertilization of exciting inter-disciplinary studies which has motivated researchers to model almost every physical system as an…

物理与社会 · 物理学 2017-01-17 Atanu Chatterjee , Manju Manohar , Gitakrishnan Ramadurai

We study structural feature and evolution of the Internet at the autonomous systems level. Extracting relevant parameters for the growth dynamics of the Internet topology, we construct a toy model for the Internet evolution, which includes…

物理与社会 · 物理学 2015-06-26 H. K. Lee , K. -I. Goh , B. Kahng , D. Kim

During the last three decades the Internet has experienced fascinating evolution, both exponential growth in traffic and rapid expansion in topology. The size of the Internet becomes enormous, yet the network is very `small' in the sense…

网络与互联网体系结构 · 计算机科学 2010-03-31 Shi Zhou

We study aggregation as a mechanism for the creation of complex networks. In this evolution process vertices merge together, which increases the number of highly connected hubs. We study a range of complex network architectures produced by…

统计力学 · 物理学 2009-11-10 M. J. Alava , S. N. Dorogovtsev

We suggest an underlying mechanism that governs the growth of a network of concepts, a complex network that reflects the connections between different scientific concepts based on their co-occurrences in publications. To this end, we…

物理与社会 · 物理学 2021-06-28 V. Palchykov , M. Krasnytska , O. Mryglod , Yu. Holovatch

The dynamical processes taking place on a network depend on its topology. Influencing the growth process of a network therefore has important implications on such dynamical processes. We formulate the problem of influencing the growth of a…

社会与信息网络 · 计算机科学 2016-12-28 Dominik Thalmeier , Vicenç Gómez , Hilbert J. Kappen

Biomolecular networks have already found great utility in characterizing complex biological systems arising from pair-wise interactions amongst biomolecules. Here, we review how graph theoretical approaches can be applied not only for a…

分子网络 · 定量生物学 2018-12-03 Heeralal Janwa , Steven E. Massey , Julian Velev , Bud Mishra

It is now generally assumed that the heterogeneity of most networks in nature probably arises via preferential attachment of some sort. However, the origin of various other topological features, such as degree-degree correlations and…

适应与自组织系统 · 物理学 2010-03-05 Samuel Johnson , J. Marro , Joaquin J. Torres

Many real-world networks, ranging from subway systems to polymer structures and fungal mycelia, do not form by the incremental addition of individual nodes but instead grow through the successive extension and intersection of lines or…

物理与社会 · 物理学 2026-01-14 Marc Barthelemy

Social networks exhibit strikingly systematic patterns across a wide range of human contexts. While genetic variation accounts for a significant portion of the variation in many complex social behaviors, the heritability of egocentric…

基因组学 · 定量生物学 2009-02-11 James H. Fowler , Christopher T. Dawes , Nicholas A. Christakis

Many transport processes on networks depend crucially on the underlying network geometry, although the exact relationship between the structure of the network and the properties of transport processes remain elusive. In this paper we…

物理与社会 · 物理学 2015-06-26 Bosiljka Tadic , G. J. Rodgers , Stefan Thurner

In this paper we investigate networks whose evolution is governed by the interaction of a random assembly process and an optimization process. In the first process, new nodes are added one at a time and form connections to randomly selected…

无序系统与神经网络 · 物理学 2011-05-16 Markus Brede

Understanding the structure and formation of networks is a central topic in complexity science. Economic networks are formed by decisions of individual agents and thus not properly described by established random graph models. In this…

物理与社会 · 物理学 2023-08-10 Chengyuan Han , Malte Schröder , Dirk Witthaut , Philipp C. Böttcher

Transport networks are crucial to the functioning of natural and technological systems. Nature features transport networks that are adaptive over a vast range of parameters, thus providing an impressive level of robustness in supply.…

适应与自组织系统 · 物理学 2017-11-28 Erik Andreas Martens , Konstantin Klemm

A fundamental task in developmental biology is to identify the mechanisms which drive morphogenesis. In many cases, pattern formation is driven by the positional information determined by both the gradient of maternal factors and hard-wired…

分子网络 · 定量生物学 2007-05-23 L. Diambra , Luciano da Fontoura Costa

Although the origin of the fat-tail characteristic of the degree distribution in complex networks has been extensively researched, the underlying cause of the degree distribution characteristic across the complete range of degrees remains…

物理与社会 · 物理学 2023-11-07 Bin Zhou , Petter Holme , Zaiwu Gong , Choujun Zhan , Yao Huang , Xin Lu , Xiangyi Meng