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Networks in the Twenty-First Century

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Encyclopedia of Social Network Analysis and Mining
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Synonyms

Link: Edge; Network: Graph; Node: Vertex

Glossary

Degree:

The degree k i of a network node i is its number of neighbors.

Power:

A power is an exponent to which a given quantity is raised, for example, x to the ath power, x a.

Power Law:

When the probability of an event is proportional to a power of some attribute of that event (e.g., its size), the probability distribution is said to be described by a power law.

Partition:

Division of a set into non-overlapping subsets.

Definition

Networks have a long history in a number of fields ranging from sociology to mathematics. This article describes surge of interest in networks in the early twenty-first century (sometimes called network science), in large part driven by interest from the statistical physics community.

Introduction

The study of networks has a deep history in mathematics, sociology, biology, and computer science reaching back to the 1700. But the twenty-first century is when the study of networks grew into a science in...

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Acknowledgments

The author would like to thank Vedran Sekara for insightful comments on the manuscript.

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Correspondence to Sune Lehmann .

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Lehmann, S. (2016). Networks in the Twenty-First Century. In: Alhajj, R., Rokne, J. (eds) Encyclopedia of Social Network Analysis and Mining. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-7163-9_80-1

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  • DOI: https://doi.org/10.1007/978-1-4614-7163-9_80-1

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