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Many natural, physical and social networks commonly exhibit power-law degree distributions. In this paper, we discover previously unreported asymmetrical patterns in the degree distributions of incoming and outgoing links in the…

Social and Information Networks · Computer Science 2015-07-17 Jianxi Luo , Daniel E. Whitney

We consider the problem of link prediction in networks whose edge structure may vary (sufficiently slowly) over time. This problem, with applications in many important areas including social networks, has two main variants: the first, known…

Optimization and Control · Mathematics 2020-04-30 Daniele Alpago , Mattia Zorzi , Augusto Ferrante

We study empirically the time evolution of scientific collaboration networks in physics and biology. In these networks, two scientists are considered connected if they have coauthored one or more papers together. We show that the…

Statistical Mechanics · Physics 2009-11-07 M. E. J. Newman

Drawing on a large database of publicly announced R&D alliances, we empirically investigate the evolution of R&D networks and the process of alliance formation in several manufacturing sectors over a 24-year period (1986-2009). Our goal is…

Physics and Society · Physics 2017-08-08 Mario Vincenzo Tomasello , Mauro Napoletano , Antonios Garas , Frank Schweitzer

Most social, technological and biological networks are embedded in a finite dimensional space, and the distance between two nodes influences the likelihood that they link to each other. Indeed, in social systems, the chance that two…

Physics and Society · Physics 2018-06-27 Paul Balister , Chaoming Song , Oliver Riordan , Bela Bollobas , Albert-Laszlo Barabasi

We study evolving networks where new nodes when attached to the network form links with other nodes of preferred distances. A particular case is where always the shortest distances are selected (``make friends with the friends of your…

Statistical Mechanics · Physics 2009-11-07 J. Jost , M. P. Joy

Digitization of publications, advancement in communication technology, and the availability of bibliographic data have made it easier for the researchers to study the growth and dynamics of any discipline. We present a study on…

Digital Libraries · Computer Science 2020-11-04 Kiran Sharma , Parul Khurana

We introduce a growing network model in which a new node attaches to a randomly-selected node, as well as to all ancestors of the target node. This mechanism produces a sparse, ultra-small network where the average node degree grows…

Statistical Mechanics · Physics 2009-11-10 P. L. Krapivsky , S. Redner

This study examines long-term trends and shifting behavior in the collaboration network of mathematics literature, using a subset of data from Mathematical Reviews spanning 1985-2009. Rather than modeling the network cumulatively, this…

Empirical data on early network history are rare. Students beginning their studies at a university with no or few prior connections to each other offer a unique opportunity to investigate the formation and early development of social…

Physics and Society · Physics 2013-08-21 Jesper Bruun , Ian G. Bearden

In this report, the explicit probability density functions of the random Euclidean distances associated with equilateral triangles are given, when the two endpoints of a link are randomly distributed in 1) the same triangle, 2) two adjacent…

General Mathematics · Mathematics 2013-07-04 Yanyan Zhuang , Jianping Pan

Scaling behavior of scale-free evolving networks arising in communications, citations, collaborations, etc. areas is studied. We derive universal scaling relations describing properties of such networks and indicate limits of their…

Condensed Matter · Physics 2009-10-31 S. N. Dorogovtsev , J. F. F. Mendes

In a range of citation networks, the in-degree distributions boast time-periodicity---the distributions of citations per article published each year present similar scale-free tails. This phenomenon can be regarded as a consequence of the…

Physics and Society · Physics 2016-10-12 Qi Liu , Zheng Xie , Zonglin Xie , Enming Dong , Jianping Li

The out-degree distribution of citation networks is investigated. Statistical data of the number of papers cited within a paper (out-degree) for different journals in the period 1991-1999 is reported. The out-degree distribution is…

Statistical Mechanics · Physics 2007-05-23 Alexei Vazquez

In this work we investigate time varying networks with complex dynamics at the nodes. We consider two scenarios of network change in an interval of time: first, we have the case where each link can change with probability pt, i.e. the…

Adaptation and Self-Organizing Systems · Physics 2014-04-14 Ankit Kumar , Vidit Agrawal , Sudeshna Sinha

The study of human interactions is of central importance for understanding the behavior of individuals, groups and societies. Here, we observe the formation and evolution of networks by monitoring the addition of all new links and we…

Physics and Society · Physics 2013-02-01 Lazaros K. Gallos , Diego Rybski , Fredrik Liljeros , Shlomo Havlin , Hernan A. Makse

In a wide range of complex networks, the links between the nodes are temporal and may sporadically appear and disappear. This temporality is fundamental to analyze the formation of paths within such networks. Moreover, the presence of the…

Physics and Society · Physics 2017-09-20 Shahriar Etemadi Tajbakhsh , Justin P. Coon , David E. Simmons

Many real networks are embedded in space, where in some of them the links length decay as a power law distribution with distance. Indications that such systems can be characterized by the concept of dimension were found recently. Here, we…

Physics and Society · Physics 2015-06-05 Thorsten Emmerich , Armin Bunde , Shlomo Havlin , Li Guanlian , Li Daqing

Studies of bibliographic data suggest a strong correlation between the growth of citation networks and their corresponding co-authorship networks. We explore the interdependence between evolving citation and co-authorship networks focused…

Physics and Society · Physics 2021-07-07 Chakresh Kr. Singh , Demival Vasques Filho , Shivakumar Jolad , Dion R. J. O'Neale

We propose a link prediction algorithm that is based on spring-electrical models. The idea to study these models came from the fact that spring-electrical models have been successfully used for networks visualization. A good network…

Social and Information Networks · Computer Science 2019-06-12 Yana Kashinskaya , Egor Samosvat , Akmal Artikov