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Network motifs are patterns of over-represented node interactions in a network which have been previously used as building blocks to understand various aspects of the social networks. In this paper, we use motif patterns to characterize the…

社会与信息网络 · 计算机科学 2019-03-05 Soumajyoti Sarkar , Ruocheng Guo , Paulo Shakarian

Studying the topology of so-called real networks, that is networks obtained from sociological or biological data for instance, has become a major field of interest in the last decade. One way to deal with it is to consider that networks are…

应用统计 · 统计学 2010-07-27 Etienne Birmele

Network structures are extremely important to the study of political science. Much of the data in its subfields are naturally represented as networks. This includes trade, diplomatic and conflict relationships. The social structure of…

统计方法学 · 统计学 2011-05-05 Drew Conway

A growing set of applications consider the process of network formation by using subgraphs as a tool for generating the network topology. One of the pressing research challenges is thus to be able to use these subgraphs to understand the…

社会与信息网络 · 计算机科学 2019-04-11 Soumajyoti Sarkar , Hamidreza Alvari , Paulo Shakarian

Motifs are the fundamental components of complex systems. The topological structure of networks representing complex systems and the frequency and distribution of motifs in these networks are intertwined. The complexities associated with…

社会与信息网络 · 计算机科学 2020-05-21 Ali Jazayeri , Christopher C. Yang

Many real-world networks describe systems in which interactions decay with the distance between nodes. Examples include systems constrained in real space such as transportation and communication networks, as well as systems constrained in…

统计力学 · 物理学 2009-11-10 Shalev Itzkovitz , Uri Alon

Network science can offer fundamental insights into the structural and functional properties of complex systems. For example, it is widely known that neuronal circuits tend to organize into basic functional topological modules, called…

适应与自组织系统 · 物理学 2022-08-03 Matteo Zambra , Alberto Testolin , Amos Maritan

Modularity structures are common in various social and biological networks. However, its dynamical origin remains an open question. In this work, we set up a dynamical model describing the evolution of a social network. Based on the…

物理与社会 · 物理学 2011-08-19 Menghui Li , Shuguang Guan , Choy-Heng Lai

The internet structure is extremely complex. The Positive-Feedback Preference (PFP) model is a recently introduced internet topology generator. The model uses two generic algorithms to replicate the evolution dynamics observed on the…

网络与互联网体系结构 · 计算机科学 2007-05-23 Shi Zhou

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

Networks are fundamental for our understanding of complex systems. Interactions between individual nodes in networks generate network motifs - small recurrent patterns that can be considered the network's building-block components,…

动力系统 · 数学 2022-09-14 Miri Adler , Ruslan Medzhitov

Several natural and theoretical networks can be broken down into smaller portions, or subgraphs corresponding to neighborhoods. The more frequent of these neighborhoods can then be understood as motifs of the network, being therefore…

物理与社会 · 物理学 2022-04-21 Guilherme S. Domingues , Eric K. Tokuda , Luciano da F. Costa

Many data analysis problems rely on dynamic networks, such as social or communication network analyses. Providing a scalable overview of long sequences of such dynamic networks remains challenging due to the underlying large-scale data…

社会与信息网络 · 计算机科学 2022-08-26 Eren Cakmak , Johannes Fuchs , Dominik Jäckle , Tobias Schreck , Ulrik Brandes , Daniel Keim

The recent discovery of universal principles underlying many complex networks occurring across a wide range of length scales in the biological world has spurred physicists in trying to understand such features using techniques from…

生物物理 · 物理学 2015-05-13 Sitabhra Sinha

Complex networks evolve and vary their structure as time goes by. In particular, the links in those networks have both a sign and a directionality. To understand their structural principles, we measure the network motifs, which are patterns…

物理与社会 · 物理学 2023-06-28 Youngjai Park , Mi Jin Lee , Seung-Woo Son

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

The structure of the network can be described by motifs, which are subgraphs that often repeat themselves. In order to understand the structure of network motifs, it is of great importance to study subgraphs from the perspective of…

一般拓扑 · 数学 2019-10-25 Ruize Gao , Ying Zhao

We study a family of networks of autocatalytic reactions, which we call hyperchains, that are a generalization of hypercycles. Hyperchains, and the associated dynamical system called replicator equations, are a possible mechanism for…

动力系统 · 数学 2021-04-23 Badal Joshi , Gheorghe Craciun

An important feature of many complex systems, both natural and artificial, is the structure and organization of their interaction networks with interesting properties. Here we present a theory of self-organization by evolutionary adaptation…

适应与自组织系统 · 物理学 2007-05-23 Venkat Venkatasubramanian , Santhoji Katare , Priyan R. Patkar , Fangping Mu

A common trait of complex systems is that they can be represented by means of a network of interacting parts. It is, in fact, the network organisation (more than the parts) what largely conditions most higher-level properties, which are not…

种群与进化 · 定量生物学 2019-07-15 Ricard Sole , Sergi Valverde
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