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Prediction and control of network dynamics are grand-challenge problems in network science. The lack of understanding of fundamental laws driving the dynamics of networks is among the reasons why many practical problems of great…

Physics and Society · Physics 2016-02-02 Konstantin Zuev , Fragkiskos Papadopoulos , Dmitri Krioukov

In this paper, we first discuss the origin of preferential attachment. Then we establish the generalized preferential attachment which has two new properties; first, it encapsulates both the topological and weight aspects of a network,…

Physics and Society · Physics 2007-05-23 Chen Chen

The availability of large scale streaming network data has reinforced the ubiquity of power-law distributions in observations and enabled precision measurements of the distribution parameters. The increased accuracy of these measurements…

Physics and Society · Physics 2021-08-23 Pat Devlin , Jeremy Kepner , Ashley Luo , Erin Meger

Inspired by scientific collaboration networks, especially our empirical analysis of the network of econophysicists, an evolutionary model for weighted networks is proposed. Both degree-driven and weight-driven models are considered.…

Disordered Systems and Neural Networks · Physics 2007-05-23 Menghui Li , Jinshan Wu , Dahui Wang , Tao Zhou , Zengru Di , Ying Fan

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

As the use of web is increasing more day by day, the web users get easily lost in the web's rich hyper structure. The main aim of the owner of the website is to give the relevant information according their needs to the users. We explained…

Information Retrieval · Computer Science 2012-08-10 Laxmi Choudhary , Bhawani Shankar Burdak

Using a model of wealth distribution where traders are characterized by quenched random saving propensities and trade among themselves by bipartite transactions, we mimic the enhanced rates of trading of the rich by introducing the…

General Finance · Quantitative Finance 2015-05-14 Abhijit Chakraborty , S. S. Manna

We introduce a model for a preferentially attached network which has grown from a small world network. Here, the average path length and the clustering coefficient are estimated, and the topological properties of modeled networks are…

Physics and Society · Physics 2015-12-04 Seungyoung Lee

Social network analysis emerged as an important research topic in sociology decades ago, and it has also attracted scientists from various fields of study like psychology, anthropology, geography and economics. In recent years, a…

Social and Information Networks · Computer Science 2014-08-01 Mohammad Dehghan Bahabadi , Alireza Hashemi Golpayegani , Leila Esmaeili

This paper considers a natural generalization of the online list access problem in the paid exchange model, where additionally there can be precedence constraints ("dependencies") among the nodes in the list. For example, this…

Data Structures and Algorithms · Computer Science 2021-04-20 Maciej Pacut , Juan Vanerio , Vamsi Addanki , Arash Pourdamghani , Gabor Retvari , Stefan Schmid

Patterns often appear in a variety of large, real-world networks, and interesting physical phenomena are often explained by network topology as in the case of the bow-tie structure of the World Wide Web, or the small world phenomenon in…

Social and Information Networks · Computer Science 2016-05-23 Corey Pennycuff , Tim Weninger

The linear preferential attachment hypothesis has been shown to be quite successful to explain the existence of networks with power-law degree distributions. It is then quite important to determine if this mechanism is the consequence of a…

Statistical Mechanics · Physics 2009-11-07 Alexei Vazquez

We present an analysis of the statistical properties and growth of the free on-line encyclopedia Wikipedia. By describing topics by vertices and hyperlinks between them as edges, we can represent this encyclopedia as a directed graph. The…

Physics and Society · Physics 2009-11-11 A. Capocci , V. D. P. Servedio , F. Colaiori , L. S. Buriol , D. Donato , S. Leonardi , G. Caldarelli

Many complex networks from the World-Wide-Web to biological networks are growing taking into account the heterogeneous features of the nodes. The feature of a node might be a discrete quantity such as a classification of a URL document as…

Physics and Society · Physics 2013-05-30 Luca Ferretti , Michele Cortelezzi , Bin Yang , Giacomo Marmorini , Ginestra Bianconi

Considerable efforts have been made in recent years to produce detailed topologies of the Internet. Although Internet topology data have been brought to the attention of a wide and somewhat diverse audience of scholars, so far they have…

Physics and Society · Physics 2012-02-21 Massimo Riccaboni , Alessandro Rossi , Stefano Schiavo

In this paper, we study the problem of evaluating the addition of elements to a set. This problem is difficult, because it can, in the general case, not be reduced to unconditional preferences between the choices. Therefore, we model…

Artificial Intelligence · Computer Science 2022-04-27 Timo Bertram , Johannes Fürnkranz , Martin Müller

Social networks have ensured the expanding disproportion between the face of WWW stored traditionally in search engine repositories and the actual ever changing face of Web. Exponential growth of web users and the ease with which they can…

Social and Information Networks · Computer Science 2012-04-09 Pushpa R. Suri , Harmunish Taneja

Based on measurements of the Internet topology data, we found out that there are two mechanisms which are necessary for the correct modeling of the Internet topology at the Autonomous Systems (AS) level: the Interactive Growth of new nodes…

Networking and Internet Architecture · Computer Science 2009-09-29 Shi Zhou , Raul J. Mondragon

Simple growth mechanisms have been proposed to explain the emergence of seemingly universal network structures. The widely-studied model of preferential attachment assumes that new nodes are more likely to connect to highly connected nodes.…

Physics and Society · Physics 2016-03-09 Chung Yin Leung , Joshua S. Weitz

The dangling nodes is the nodes with no out-links in the web graph. It saves many computational cost and operations provided the dangling nodes are lumped into one node. In this paper, motivated by so many dangling nodes in web graph, we…

Numerical Analysis · Mathematics 2021-12-28 Yongxin Dong , Yuehua Feng , Jianxin You