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The emergence of the six degrees of separation. Ensemble average D vs. N for different sets of networks. Light blue line: BA scale-free networks that are used as initial conditions for the evolution of the game. Green line: Networks generated at the equilibrium state of the game. Red line: Networks constructed by randomly adding to the initial condition of each game the same number of links needed to reach the game equilibrium. A horizontal black dashed line is positioned at D = 6 to indicate that the network's structure obtained at the equilibrium features the ultrasmall world property, with the concurrent emergence of the six degrees of separation Inset: log-lin plot of D vs. N . The logarithmic scaling of the light blue and red lines is clearly visible.
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A wealth of evidence shows that real world networks are endowed with the small-world property i.e., that the maximal distance between any two of their nodes scales logarithmically rather than linearly with their size. In addition, most social networks are organized so that no individual is more than six connections apart from any other, an empirica...
Similar publications
A wealth of evidence shows that real-world networks are endowed with the small-world property, i.e., that the maximal distance between any two of their nodes scales logarithmically rather than linearly with their size. In addition, most social networks are organized so that no individual is more than six connections apart from any other, an empiric...
