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Networks with underlying metric spaces attract increasing research attention in network science, statistical physics, applied mathematics, computer science, sociology, and other fields. This attention is further amplified by the current…

Physics and Society · Physics 2020-04-22 Marian Boguna , Dmitri Krioukov , Pedro Almagro , M. Angeles Serrano

The connectivity structure of graphs is typically related to the attributes of the nodes. In social networks for example, the probability of a friendship between two people depends on their attributes, such as their age, address, and…

Social and Information Networks · Computer Science 2020-02-06 Junning Deng , Bo Kang , Jefrey Lijffijt , Tijl De Bie

Small-world networks are ubiquitous in real-life systems. Most previous models of small-world networks are stochastic. The randomness makes it more difficult to gain a visual understanding on how do different nodes of networks interact with…

Statistical Mechanics · Physics 2007-05-23 Zhongzhi Zhang , Lili Rong , Chonghui Guo

We review the recent fast progress in statistical physics of evolving networks. Interest has focused mainly on the structural properties of random complex networks in communications, biology, social sciences and economics. A number of giant…

Statistical Mechanics · Physics 2015-06-24 S. N. Dorogovtsev , J. F. F. Mendes

Measuring and optimizing the influence of nodes in big-data online social networks are important for many practical applications, such as the viral marketing and the adoption of new products. As the viral spreading on social network is a…

Physics and Society · Physics 2018-07-31 Yanqing Hu , Shenggong Ji , Yuliang Jin , Ling Feng , H. Eugene Stanley , Shlomo Havlin

Directed networks are ubiquitous and are necessary to represent complex systems with asymmetric interactions---from food webs to the World Wide Web. Despite the importance of edge direction for detecting local and community structure, it…

Physics and Society · Physics 2010-11-09 Jacob G. Foster , David V. Foster , Peter Grassberger , Maya Paczuski

Understanding the impact of network clustering and small-world properties on epidemic spread can be crucial in developing effective strategies for managing and controlling infectious diseases. Particularly in this work, we study the impact…

Social and Information Networks · Computer Science 2023-10-20 Mohammadreza Doostmohammadian , Houman Zarrabi , Azam Doustmohammadian , Hamid R. Rabiee

From many datasets gathered in online social networks, well defined community structures have been observed. A large number of users participate in these networks and the size of the resulting graphs poses computational challenges. There is…

Social and Information Networks · Computer Science 2014-01-15 Alexander V. Mantzaris

Closeness is a global measure of centrality in networks, and a proxy for how influential actors are in social networks. In most network models, and many empirical networks, closeness is strongly correlated with degree. However, in social…

Physics and Society · Physics 2009-09-10 Petter Holme , Gourab Ghoshal

Social interactions influence our thoughts, opinions and actions. In this paper, social interactions are studied within a group of individuals composed of influential social leaders and followers. Each person is assumed to maintain a social…

Systems and Control · Computer Science 2014-02-25 Zhen Kan , Justin Klotz , Eduardo L. Pasiliao , Warren E. Dixon

Small-world networks are the focus of recent interest because they appear to circumvent many of the limitations of either random networks or regular lattices as frameworks for the study of interaction networks of complex systems. Here, we…

Statistical Mechanics · Physics 2012-03-08 Luis A. Nunes Amaral , Antonio Scala , Marc Barthelemy , H. Eugene Stanley

In this Letter we investigate networks that have been optimized to realize a trade-off between enhanced synchronization and cost of wire to connect the nodes in space. Analyzing the evolved arrangement of nodes in space and their…

Disordered Systems and Neural Networks · Physics 2015-05-19 M. Brede

How does one make acquaintances? A simple observation from everyday experience is that often one of our acquaintances introduces us to one of his acquaintances. Such a simple triangle interaction may be viewed as the basis of the evolution…

Statistical Mechanics · Physics 2009-11-07 Joern Davidsen , Holger Ebel , Stefan Bornholdt

Networks describe a variety of interacting complex systems in social science, biology and information technology. Usually the nodes of real networks are identified not only by their connections but also by some other characteristics.…

Physics and Society · Physics 2015-05-13 Ginestra Bianconi , Paolo Pin , Matteo Marsili

Recent results from statistical physics show that large classes of complex networks, both man-made and of natural origin, are characterized by high clustering properties yet strikingly short path lengths between pairs of nodes. This class…

Information Theory · Computer Science 2016-11-17 Rui A. Costa , Joao Barros

A network can be analyzed at different topological scales, ranging from single nodes to motifs, communities, up to the complete structure. We propose a novel intermediate-level topological analysis that considers non-overlapping subgraphs…

Computational Physics · Physics 2009-11-13 Lucas Antiqueira , Luciano da Fontoura Costa

The small-world phenomenon is found in many self-organising systems. Systems configured in small-world networks spread information more easily than in random or regular lattice-type networks. Whilst it is a known fact that small-world…

Physics and Society · Physics 2015-08-17 Eugene Ch'ng

Many real-world complex systems such as social, biological, information as well as technological systems results of a decentralized and unplanned evolution which leads to a common structuration. Irrespective of their origin, these so-called…

Social and Information Networks · Computer Science 2013-05-03 Chantal Cherifi , Jean-François Santucci

The lack of large-scale, continuously evolving empirical data usually limits the study of networks to the analysis of snapshots in time. This approach has been used for verification of network evolution mechanisms, such as preferential…

Physics and Society · Physics 2019-10-10 Lazaros K. Gallos , Shlomo Havlin , H. Eugene Stanley , Nina H. Fefferman

Despite the structural properties of online social networks have attracted much attention, the properties of the close-knit friendship structures remain an important question. Here, we mainly focus on how these mesoscale structures are…

Physics and Society · Physics 2015-06-05 Ai-xiang Cui , Zi-ke Zhang , Ming Tang , Pak Ming Hui , Yan Fu
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