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Small-world networks by Watts and Strogatz are a class of networks that are highly clustered, like regular lattices, yet have small characteristic path lengths, like random graphs. These characteristics result in networks with unique…

Adaptation and Self-Organizing Systems · Physics 2011-09-27 Qawi K. Telesford , Karen E. Joyce , Satoru Hayasaka , Jonathan H. Burdette , Paul J. Laurienti

Many social and biological networks consist of communities - groups of nodes within which connections are dense, but between which connections are sparser. Recently, there has been considerable interest in designing algorithms for detecting…

Physics and Society · Physics 2009-11-11 Chunguang Li , Philip K. Maini

The human brain is organized in functional modules. Such an organization presents a basic conundrum: modules ought to be sufficiently independent to guarantee functional specialization and sufficiently connected to bind multiple processors…

Biological Physics · Physics 2015-05-27 Lazaros K. Gallos , Hernan A. Makse , Mariano Sigman

We investigate small-world networks from the point of view of their origin. While the characteristics of small-world networks are now fairly well understood, there is as yet no work on what drives the emergence of such a network…

Disordered Systems and Neural Networks · Physics 2009-10-31 Nisha Mathias , Venkatesh Gopal

Complex networks underlie an enormous variety of social, biological, physical, and virtual systems. A profound complication for the science of complex networks is that in most cases, observing all nodes and all network interactions is…

Physics and Society · Physics 2017-02-08 Catherine A. Bliss , Christopher M. Danforth , Peter Sheridan Dodds

The study of social networks --- where people are located, geographically, and how they might be connected to one another --- is a current hot topic of interest, because of its immediate relevance to important applications, from devising…

Physics and Society · Physics 2018-06-29 Shandeepa Wickramasinghe , Onyekachukwu Onyerikwu , Jie Sun , Daniel ben-Avraham

Networks describe a range of social, biological and technical phenomena. An important property of a network is its degree correlation or assortativity, describing how nodes in the network associate based on their number of connections.…

Social and Information Networks · Computer Science 2017-02-06 David N Fisher , Matthew J Silk , Daniel W Franks

Many real-world networks describe systems in which interactions decay with the distance between nodes. Examples include systems constrained in real space such as transportation and communication networks, as well as systems constrained in…

Statistical Mechanics · Physics 2009-11-10 Shalev Itzkovitz , Uri Alon

We study the detailed growth of a social networking site with full temporal information by examining the creation process of each friendship relation that can collectively lead to the macroscopic properties of the network. We first study…

Physics and Society · Physics 2015-06-03 Haibo Hu , Xiaofan Wang

Social networking sites (SNS) have recently used by millions of people all over the world. An SNS is a society on the Internet, where people communicate and foster friendship with each other. We examine a nation-wide SNS (more than six…

Physics and Society · Physics 2007-05-23 Kikuo Yuta , Naoaki Ono , Yoshi Fujiwara

In statistical network analysis, we often assume either the full network is available or multiple subgraphs can be sampled to estimate various global properties of the network. However, in a real social network, people frequently make…

Methodology · Statistics 2024-07-04 Xiao Han , Y. X. Rachel Wang , Qing Yang , Xin Tong

In this work we analyze traces of mobility and co-location among a group of nearly 1000 closely interacting individuals. We attempt to reconstruct the Facebook friendship graph, Facebook interaction network, as well as call and SMS networks…

Computers and Society · Computer Science 2018-11-12 Piotr Sapiezynski , Arkadiusz Stopczynski , David Kofoed Wind , Jure Leskovec , Sune Lehmann

How should we gather information in a network, where each node's visibility is limited to its local neighborhood? This problem arises in numerous real-world applications, such as surveying and task routing in social networks, team formation…

Artificial Intelligence · Computer Science 2015-05-07 Adish Singla , Eric Horvitz , Pushmeet Kohli , Ryen White , Andreas Krause

Subgraph densities play a crucial role in network analysis, especially for the identification and interpretation of meaningful substructures in complex graphs. Localized subgraph densities, in particular, can provide valuable insights into…

Social and Information Networks · Computer Science 2025-05-23 Connor Mattes , Esha Datta , Ali Pinar

The algorithmic small-world phenomenon, empirically established by Milgram's letter forwarding experiments from the 60s, was theoretically explained by Kleinberg in 2000. However, from today's perspective his model has several severe…

Social and Information Networks · Computer Science 2017-02-21 Karl Bringmann , Ralph Keusch , Johannes Lengler , Yannic Maus , Anisur Molla

Recent work has found that the propagation of behaviors and sentiments through networks extends in ranges up to 2 to 4 degrees of distance. The regularity with which the same observation is found in dissimilar phenomena has been associated…

Social and Information Networks · Computer Science 2012-08-02 Jorge Fabrega , Pablo Paredes

The proliferation of social media such as real time microblogging and online reputation systems facilitate real time sensing of social patterns and behavior. In the last decade, sensing and decision making in social networks have witnessed…

Social and Information Networks · Computer Science 2014-05-07 Vikram Krishnamurthy , Omid Namvar Gharehshiran , Maziyar Hamdi

Analysis of social networks with limited data access is challenging for third parties. To address this challenge, a number of studies have developed algorithms that estimate properties of social networks via a simple random walk. However,…

Social and Information Networks · Computer Science 2023-05-23 Kazuki Nakajima , Kazuyuki Shudo

Measuring the importance of nodes in a network with a centrality measure is a core task in any network application. There are many measures available and it is speculated that many encode similar information. We give an explicit non-linear…

Physics and Society · Physics 2022-07-05 Tim S. Evans , Bingsheng Chen

Network topologies can be non-trivial, due to the complex underlying behaviors that form them. While past research has shown that some processes on networks may be characterized by low-order statistics describing nodes and their neighbors,…

Physics and Society · Physics 2019-10-22 Xin-Zeng Wu , Allon G. Percus , Keith Burghardt , Kristina Lerman