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Many of the structural characteristics of a network depend on the connectivity with and within the hubs. These dependencies can be related to the degree of a node and the number of links that a node shares with nodes of higher degree. In…

Physics and Society · Physics 2018-10-31 Raul J Mondragon

A wealth of evidence shows that real world networks are endowed with the small-world property i.e., that the maximal distance between any two of their nodes scales logarithmically rather than linearly with their size. In addition, most…

Characterization of real-world complex systems increasingly involves the study of their topological structure using graph theory. Among global network properties, small-world property, consisting in existence of relatively short paths…

Social and Information Networks · Computer Science 2017-02-28 Jaroslav Hlinka , David Hartman , Milan Paluš

Complex networks are used to depict topological features of complex systems. The structure of a network characterizes the interactions among elements of the system, and facilitates the study of many dynamical processes taking place on it.…

Physics and Society · Physics 2012-06-22 Yan Zhang , Lin Wang , Yi-Qing Zhang , Xiang Li

Real world complex networks often exhibit multiplex structure, connecting entities from different aspects of physical systems such as social, transportation and biological networks. Little is known about general properties of such networks…

Social and Information Networks · Computer Science 2019-11-28 Blaž Škrlj , Benjamin Renoust

The study utilizes a comprehensive dataset informed by IPv6 routing information to provide statistics, degree distribution, joint degree distribution, and clustering analysis of the IPv6 Internet's structure and resilience.The dataset…

Networking and Internet Architecture · Computer Science 2024-03-04 Bin Yuan , Tianbo Song

Networks offer a powerful approach to modeling complex systems by representing the underlying set of pairwise interactions. Link prediction is the task that predicts links of a network that are not directly visible, with profound…

Physics and Society · Physics 2024-04-22 Yijun Ran , Xiao-Ke Xu , Tao Jia

Links in most real networks often change over time. Such temporality of links encodes the ordering and causality of interactions between nodes and has a profound effect on network dynamics and function. Empirical evidences have shown that…

Social and Information Networks · Computer Science 2020-07-10 Disheng Tang , Wenbo Du , Louis Shekhtman , Yijie Wang , Shlomo Havlin , Xianbin Cao , Gang Yan

Evolutionary mechanism in a self-organized system cause some functional changes that force to adapt new conformation of the interaction pattern between the components of that system. Measuring the structural differences one can retrace the…

Quantitative Methods · Quantitative Biology 2012-10-19 Anirban Banerjee

From biosystem to complex system,the study of life is always an important area. Inspired by hyper-cycle theory about the evolution of non-life system, we study the metabolism, self-replication and mutation behavior in the Internet based on…

Networking and Internet Architecture · Computer Science 2016-11-07 Jinfa Wang , Hai Zhao , Xiao Liu

Multi-layer graphs can capture qualitatively different types of connection between entities, and networks of this kind are prevalent in biological and social systems: for example, a social contact network typically involves both virtual and…

Discrete Mathematics · Computer Science 2020-07-24 Jessica Enright , Kitty Meeks , Jessica Ryan

Our current world is linked by a complex mesh of networks where information, people and goods flow. These networks are interdependent each other, and present structural and dynamical features different from those observed in isolated…

Physics and Society · Physics 2013-11-13 Filippo Radicchi , Alex Arenas

About two million U.S. corporations and partnerships are linked to each other and human investors by about 15 million owner-subsidiary links. Comparable social networks such as corporate board memberships and socially-built systems such as…

General Economics · Economics 2024-01-23 Ben Klemens

Many complex networks, including human societies, the Internet, the World Wide Web and power grids, have surprising properties that allow vertices (individuals, nodes, Web pages, etc.) to be in close contact and information to be…

Statistical Mechanics · Physics 2007-05-23 David Lusseau

A major issue in biology is the understanding of the interactions between proteins. These interactions can be described by a network, where the proteins are modeled by nodes and the interactions by edges. The origin of these protein…

Biological Physics · Physics 2011-08-01 Christian M. Schneider , Lucilla de Arcangelis , Hans J. Herrmann

The use of methods borrowed from statistics and physics to analyze written texts has allowed the discovery of unprecedent patterns of human behavior and cognition by establishing links between models features and language structure. While…

Computation and Language · Computer Science 2016-07-07 Diego R. Amancio

The World-Wide Web (WWW) is characterized by a strong community structure in which communities of webpages (e.g. those sharing a common keyword) are densely interconnected by hyperlinks. We study how such network architecture affects the…

Other Condensed Matter · Physics 2007-05-23 Huafeng Xie , Koon-Kiu Yan , Sergei Maslov

We compare the structural properties of the street networks of ten different European cities using their primal representation. We investigate the properties of the geometry of the networks and a set of centrality measures highlighting…

We review measures of street network structure proposed in the recent literature, establish their relevance to practice, and identify open challenges facing researchers. These measures' empirical values vary substantially across world…

Physics and Society · Physics 2024-09-13 Marc Barthelemy , Geoff Boeing

This paper studies the statistical properties of the web of import-export relationships among world countries using a weighted-network approach. We analyze how the distributions of the most important network statistics measuring…

Physics and Society · Physics 2009-11-13 Giorgio Fagiolo , Javier Reyes , Stefano Schiavo