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Arquivo para August 5th, 2022

Small worlds and closed circles

05 Aug

Small groups can potentiate their effects on a network, not only due to the ability to influence or cohesion, but also due to the degree of connectivity between nodes, which in technical language is called clustering, has nothing to do with closed circles, but the few connections are called Small Worlds.

This model of Social Networks (seen as a mathematical model of graphs and not just as media) observes a curious phenomenon called Small Worlds that was first proposed by Duncan J. Watts and Steven STrogatz in an article published in the journal Nature in 1998, the The model establishes that in a network there is a degree of separation between the points (network nodes) called six degrees of separation.

Albert L. Barabasi’s book “The New Science of Networks”, which expanded and corrected this model for larger scales, called scale-free, is thus described on pg. 47 of the book:

““The surprising discovery of Watts and Strogatz is that a few extra links are enough to drastically reduce the average separation between nodes…thanks to extensive bridges…connect nodes on the opposite side of the circle…”.(Barabasi, 2009).

So this is not the same as closed circles, since despite few connections, there must be bridges with nodes on the opposite side of the circle, so this “opening” is necessary, as mentioned for us on the opposite side of the circle.

This explains how many cultures and information expand or close according to the types of connectivity they have (the issue of clustering, in the graph p=0 to p=1) and due to the wider possibility of information today due to technology, the factors become more psychopolitical than geopolitical.

But it is also possible to explain the expansions of previous periods that depended on mobility and the “opening” of circles to other different cultures, Christianity for example, the book by Barabasi quotes, depended on the strategy of Paul of Tarsus which was to speak to the “Gentiles ” and to peoples who did not have Jewish culture, and from there it expanded into a network.

But they were a small group (12 apostles and then 72) but who traveled through the western world at the time, this idea of ​​small worlds is still present in Christianity until today, although numerous, the precepts of Love and Solidarity are not always observed, and this reduces it to closed circles.

The future is also expressed in Christian culture (Lk 12:31): “Do not be afraid, little flock, for it is the Father’s good pleasure to give you the Kingdom”, then the parable of the administrator is told. they do not know the time that will arrive and must always act waiting for you to arrive and find them attentive, in this case it refers to true treasures that we have already dealt with in previous posts.