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Open AccessJournal ArticleDOI

The Web of Human Sexual Contacts

TLDR
In this article, the authors analyze data on the sexual behavior of a random sample of individuals, and find that the cumulative distributions of the number of sexual partners during the twelve months prior to the survey decays as a power law with similar exponents for females and males.
Abstract
Many ``real-world'' networks are clearly defined while most ``social'' networks are to some extent subjective. Indeed, the accuracy of empirically-determined social networks is a question of some concern because individuals may have distinct perceptions of what constitutes a social link. One unambiguous type of connection is sexual contact. Here we analyze data on the sexual behavior of a random sample of individuals, and find that the cumulative distributions of the number of sexual partners during the twelve months prior to the survey decays as a power law with similar exponents $\alpha \approx 2.4$ for females and males. The scale-free nature of the web of human sexual contacts suggests that strategic interventions aimed at preventing the spread of sexually-transmitted diseases may be the most efficient approach.

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Citations
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Journal ArticleDOI

Scale-free human migration and the geography of social networks

TL;DR: In this article, the authors analyzed human migration patterns by investigating the migration of 46.8 million individuals across the US during 1995-2000 and found that the probability of migration decreases as a power law of the distance, with exponent −1.
Journal ArticleDOI

Epidemic outbreaks on networks with effective contacts

TL;DR: This work introduces the effective contact function (ECF) into models and presents an analytical and numerical study for the threshold and dynamical behaviors of epidemic incidence, demonstrating analytically that the epidemic incidence is generally a monotone decreasing function of the epidemic threshold and increasing function ofThe number of effective contacts.
Book ChapterDOI

Mathematical Models in Infectious Disease Epidemiology

TL;DR: The idea that transmission and spread of infectious diseases follows laws that can be formulated in mathematical language is old but only in the twentieth century was the nonlinear dynamics of infectious disease transmission really understood.
Journal ArticleDOI

Cluster approximations for epidemic processes: a systematic description of correlations beyond the pair level

TL;DR: This work proposes a systematic methodology for the description of the epidemic dynamics that takes into account spatial correlations up to a desired range, and embeds very naturally spatial patterns such as the presence of loops characterizing the square lattice or the tree-like structure ubiquitous in random networks.
Journal ArticleDOI

Attractiveness and activity in Internet communities

TL;DR: This work proposes measures of attractiveness and activity for such data sets and analyzes these quantities for anonymized contact sequences from an Internet dating community to show broad power-law-like distributions.
References
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Journal ArticleDOI

Collective dynamics of small-world networks

TL;DR: Simple models of networks that can be tuned through this middle ground: regular networks ‘rewired’ to introduce increasing amounts of disorder are explored, finding that these systems can be highly clustered, like regular lattices, yet have small characteristic path lengths, like random graphs.
Journal ArticleDOI

Emergence of Scaling in Random Networks

TL;DR: A model based on these two ingredients reproduces the observed stationary scale-free distributions, which indicates that the development of large networks is governed by robust self-organizing phenomena that go beyond the particulars of the individual systems.
Journal ArticleDOI

Statistical mechanics of complex networks

TL;DR: In this paper, a simple model based on the power-law degree distribution of real networks was proposed, which was able to reproduce the power law degree distribution in real networks and to capture the evolution of networks, not just their static topology.
Journal ArticleDOI

The Structure and Function of Complex Networks

Mark Newman
- 01 Jan 2003 - 
TL;DR: Developments in this field are reviewed, including such concepts as the small-world effect, degree distributions, clustering, network correlations, random graph models, models of network growth and preferential attachment, and dynamical processes taking place on networks.
Journal ArticleDOI

Complex networks: Structure and dynamics

TL;DR: The major concepts and results recently achieved in the study of the structure and dynamics of complex networks are reviewed, and the relevant applications of these ideas in many different disciplines are summarized, ranging from nonlinear science to biology, from statistical mechanics to medicine and engineering.
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