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Small World Phenomena

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

Abstract

In Chap. , we learnt that real-world graphs are no way random since random graphs do not exhibit the require degree distribution and clustering coefficient. This means that to explain the required properties of a real-world graph, a different null model is required. In this chapter, we will look at the Milgram’s experiments, the Columbia small world study and other similar experiments. From these experiments, we will learn the well-known small world phenomenon. We will also look at graph models that generate graphs which exhibit this phenomenon, mainly focusing on the Watts–Strogatz model and Kleinberg model. By describing case studies such as the HP Labs studies Adamic, Adar (Social networks 27 (3): 187–203, 2005, [1]), LiveJournal network Liben-Nowell et al (Proceedings of the national academy of sciences of the United States of America 102 (33): 11623–11628, 2005, [12]) and the human wayfinding study West, Leskovec (Human wayfinding in information networks. In Proceedings of the 21st international conference on World Wide Web, 2012, 619–628. ACM, [18]), we will look at how small-world phenomenon is unwittingly being exhibited in the real world.

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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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