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23 April 2024
 
  » arxiv » physics/0503148

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Distance-dependent connectivity: Yet Another Approach to the Small World Phenomenon
Matus Medo ;
Date 17 Mar 2005
Journal Physica A, 359C, 815-826 (2005) DOI: 10.1016/j.physa.2005.06.038
Subject Physics and Society | physics.soc-ph
AbstractWe investigate a relationship network of humans located in a metric space where relationships are drawn according to a distance-dependent probability density. The obtained spatial graph allows us to calculate the average separation of people in a very simple manner. The acquired results agree with the well-known presence of the small-world phenomenon in human relationships. They indicate that this feature can be understood merely as a consequence of the probability composition. We also examine how this phenomenon evolves with the development of human society.
Source arXiv, physics/0503148
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