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Collective dynamics of ‘small-world’ networks
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.
Random graphs with arbitrary degree distributions and their applications.
- M. Newman, S. Strogatz, D. Watts
- MathematicsPhysical review. E, Statistical, nonlinear, and…
- 13 July 2000
It is demonstrated that in some cases random graphs with appropriate distributions of vertex degree predict with surprising accuracy the behavior of the real world, while in others there is a measurable discrepancy between theory and reality, perhaps indicating the presence of additional social structure in the network that is not captured by the random graph.
A simple model of global cascades on random networks
- D. Watts
- Computer ScienceProceedings of the National Academy of Sciences…
- 30 April 2002
It is shown that heterogeneity plays an ambiguous role in determining a system's stability: increasingly heterogeneous thresholds make the system more vulnerable to global cascades; but anincreasingly heterogeneous degree distribution makes it less vulnerable.
Six Degrees: The Science of a Connected Age
- D. Watts
Duncan Watts explores the science of networks and its implications, ranging from the Dutch tulipmania of the 17th century to the success of Harry Potter, from the impact of September 11 on Manhattan to the brain of the sea-slug, and from the processes that lead to stockmarket crashes to the structure of the world wide web.
Everyone's an influencer: quantifying influence on twitter
It is concluded that word-of-mouth diffusion can only be harnessed reliably by targeting large numbers of potential influencers, thereby capturing average effects and that predictions of which particular user or URL will generate large cascades are relatively unreliable.
Networks, Dynamics, and the Small‐World Phenomenon1
- D. Watts
- Computer ScienceAmerican Journal of Sociology
- 1 September 1999
The small‐world phenomenon formalized in this article as the coincidence of high local clustering and short global separation, is shown to be a general feature of sparse, decentralized networks that…
Influentials, Networks, and Public Opinion Formation
A central idea in marketing and diffusion research is that influentials—a minority of individuals who influence an exceptional number of their peers—are important to the formation of public opinion.…
Redefine statistical significance
The default P-value threshold for statistical significance is proposed to be changed from 0.05 to 0.005 for claims of new discoveries in order to reduce uncertainty in the number of discoveries.
Experimental Study of Inequality and Unpredictability in an Artificial Cultural Market
An artificial “music market” was created in which 14,341 participants downloaded previously unknown songs either with or without knowledge of previous participants' choices, and increasing the strength of social influence increased both inequality and unpredictability of success.