Networks in the Twenty-First Century
The degree ki of a network node i is its number of neighbors.
A power is an exponent to which a given quantity is raised, for example, x to the ath power, xa.
- 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.
Division of a set into non-overlapping subsets.
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.
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 its...
The author would like to thank Vedran Sekara for insightful comments on the manuscript.
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