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Collaboration networks are studied as an example of growing bipartite networks. These have been previously observed to have structure such as positive correlations between nearest-neighbour degrees. However, a detailed understanding of the…

Physics and Society · Physics 2009-11-11 Matti Peltomaki , Mikko Alava

We investigate by random-walk simulations and a mean-field theory how growth by biased addition of nodes affects flow of the current through the emergent conducting graph, representing a digital circuit. In the interior of a large network…

Statistical Mechanics · Physics 2009-11-07 Bosiljka Tadic , Vyatcheslav Priezzhev

The problem of predicting links in large networks is an important task in a variety of practical applications, including social sciences, biology and computer security. In this paper, statistical techniques for link prediction based on the…

Applications · Statistics 2021-09-01 Francesco Sanna Passino , Anna S. Bertiger , Joshua C. Neil , Nicholas A. Heard

We model a system of networking agents that seek to optimize their centrality in the network while keeping their cost, the number of connections they are participating in, low. Unlike other game-theory based models for network evolution,…

Populations and Evolution · Quantitative Biology 2007-05-23 Petter Holme , Gourab Ghoshal

Motivated by data on the evolution of the Internet and World Wide Web we consider scenarios of self-organization of the nonlinearly growing networks into free-scale structures. We find that the accelerating growth of the networks…

Statistical Mechanics · Physics 2009-10-31 S. N. Dorogovtsev , J. F. F. Mendes

We study the growth of a directed transportation network, such as a food web, in which links carry resources. We propose a growth process in which new nodes (or species) preferentially attach to existing nodes with high indegree (in…

Statistical Mechanics · Physics 2008-03-17 Volkan Sevim , Per Arne Rikvold

In several real-world networks like the Internet, WWW etc., the number of links grow in time in a non-linear fashion. We consider growing networks in which the number of outgoing links is a non-linear function of time but new links between…

Statistical Mechanics · Physics 2009-11-10 Parongama Sen

We present a general class of geometric network growth mechanisms by homogeneous attachment in which the links created at a given time $t$ are distributed homogeneously between a new node and the exising nodes selected uniformly. This is…

Physics and Society · Physics 2018-03-28 Charles Murphy , Antoine Allard , Edward Laurence , Guillaume St-Onge , Louis J. Dubé

Social networks play a fundamental role in the diffusion of information. However, there are two different ways of how information reaches a person in a network. Information reaches us through connections in our social networks, as well as…

Social and Information Networks · Computer Science 2012-06-08 Seth A. Myers , Chenguang Zhu , Jure Leskovec

We present a detailed study of the part of the Web related to media content, i.e., the Media Web. Using publicly available data, we analyze the evolution of incoming and outgoing links from and to media pages. Based on our observations, we…

Information Retrieval · Computer Science 2013-08-02 Damien Lefortier , Liudmila Ostroumova , Egor Samosvat

It is known that the stationary distribution of the random walk process is dependent on the structure of the network. This could provide us a solution of the network reconstruction. However, the stationary distribution of the random walk…

Physics and Society · Physics 2016-03-17 Zhe He , Ming Li , Rui-Jie Xu , Bing-Hong Wang

Link directions are essential to the functionality of networks and their prediction is helpful towards a better knowledge of directed networks from incomplete real-world data. We study the problem of predicting the directions of some links…

Physics and Society · Physics 2013-07-16 Fangjian Guo , Zimo Yang , Tao Zhou

The parallel computational complexity or depth of growing network models is investigated. The networks considered are generated by preferential attachment rules where the probability of attaching a new node to an existing node is given by a…

Statistical Mechanics · Physics 2009-11-10 Benjamin Machta , Jonthan Machta

In a recent paper, Krapivsky and Redner (Phys. Rev. E, 71 (2005) 036118) proposed a new growing network model with new nodes being attached to a randomly selected node, as well to all ancestors of the target node. The model leads to a…

Physics and Society · Physics 2007-05-23 Sergi Valverde , Ricard V. Sole

The multiplex network growth literature has been confined to homogeneous growth hitherto, where the number of links that each new incoming node establishes is the same across layers. This paper focuses on heterogeneous growth. We first…

Physics and Society · Physics 2015-06-23 Babak Fotouhi , Naghmeh Momeni

We propose a simple dynamical model that generates networks with power-law degree distributions with the exponent 2 through rewiring only. At each time step, two nodes, i and j, are randomly selected, and one incoming link to i is…

Statistical Mechanics · Physics 2012-04-27 Suhan Ree

A novel hierarchical model of complex network is proposed, and information propagation process taking place on top of the network is investigated. Our model is demonstrated to have small world property. We found that the frequency…

Dynamical Systems · Mathematics 2007-05-23 Feng Fu , Lianghuan Liu , Long Wang

Link prediction in complex networks has attracted considerable attention from interdisciplinary research communities, due to its ubiquitous applications in biological networks, social networks, transportation networks, telecommunication…

Social and Information Networks · Computer Science 2020-12-22 Ece C. Mutlu , Toktam A. Oghaz , Amirarsalan Rajabi , Ivan Garibay

We introduce and simulate a growth model of the world-wide Web based on the dynamics of outgoing links that is motivated by the conduct of the agents in the real Web to update outgoing links (re)directing them towards constantly changing…

Statistical Mechanics · Physics 2009-10-31 Bosiljka Tadic

A social network grows over a period of time with the formation of new connections and relations. In recent years we have witnessed a massive growth of online social networks like Facebook, Twitter etc. So it has become a problem of extreme…

Social and Information Networks · Computer Science 2015-09-25 Amit Kumar Verma , Manjish Pal
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