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Power Law

  • Krishna Raj P. M.Email author
  • Ankith Mohan
  • K. G. Srinivasa
Chapter
Part of the Computer Communications and Networks book series (CCN)

Abstract

A quantity x is said to obey a power law is it is drawn from a probability distribution given by \(p(x) \propto x^{-\alpha }\) where \(\alpha \) is a constant parameter known as exponent. In this chapter we will look at ways to determine whether or not a certain set of values follow a power law. We will learn graph models that can exhibit power-law, mainly focusing on the preferential attachment model that has power-law degree distribution. We will then look at the rich-get-richer phenomenon and how this is prevalent in citation networks and population growth of cities. Finally, we will cover densification power laws and shrinking diameters which are properties observed from temporal social networks, which have given rise to the forest fire model.

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Copyright information

© Springer Nature Switzerland AG 2018

Authors and Affiliations

  • Krishna Raj P. M.
    • 1
    Email author
  • Ankith Mohan
    • 1
  • K. G. Srinivasa
    • 2
  1. 1.Department of ISERamaiah Institute of TechnologyBangaloreIndia
  2. 2.Department of Information TechnologyC.B.P. Government Engineering CollegeJaffarpurIndia

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