Abstract:
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 empirical regularity known as the six degrees of separation. Why social networks have this ultrasmall-world organization, whereby the graph’s diameter is even independent of the network size over several orders of magnitude, is still unknown.
I will show that the “six degrees of separation” is in fact just the property featured by the equilibrium state of any network where individuals weigh between their aspiration to improve their centrality and the costs incurred in forming and maintaining connections.
Moreover, the emergence of such a regularity is compatible with all other features, such as clustering and scale-freeness, that normally characterize the structure of social networks.
Thus, simple evolutionary rules of the kind traditionally associated with human cooperation and altruism can also account for the emergence of one of the most intriguing attributes of complex networks.
Bio:
Stefano Boccaletti received the PhD in Physics at the University of Florence in 1995, and a PhD honoris causa at the University Rey Juan Carlos of Madrid in 2015.
He was Scientific Attache’ of the Italian Embassy in Israel during the years 2007-2011 and 2014-2018.
He is currently Director of Research at the Institute of Complex Systems of the Italian CNR, in Florence.
His major scientific interests are i) pattern formation and competition in extended media, ii) control and synchronization of chaos, and iii) the structure and dynamics of complex networks.
He is Editor in Chief of the Journal “Chaos, Solitons and Fractals” (Elsevier) from 2013, member of the Academia Europaea since 2016, and Fellow of the American Physical Society from 2024.
He was elected member of the Florence City Council from 1995 to 1999.
Boccaletti has published 352 papers in peer-reviewed international Journals, which received more than 41,000 citations (Google Scholar). His h factor is 76 and his i-10 index is 241.
With more than 13,500 citations, the monograph ¨Complex Networks: Structure and Dynamics¨, published by Boccaletti in Physics Reports on 2006 converted into the most quoted paper ever appeared in the Annals of that Journal.