Abstract
We consider the structure of social networks corresponding to primitive societies where each individual belongs to a clan. The number of clans and the size of the society are bounded as functions of the Perron number r(S) of the adjacency matrix of the network. We get the inequality r(S) ≤ D(S) comparing the Perron and the Dunbar numbers of the network. The Perron number r(S) is a measure of the complexity of the social network.
Highlights
We consider the structure of social networks corresponding to primitive societies where each individual belongs to a clan
No les pedimos a nuestros nodos certificados de consanguineidad, ni domicilios, pero estos son elementos que podremos incorporar posteriormente
En el próximo capítulo de la serie veremos como el radio espectral y el vector propio correspondiente son herramientas esenciales para describir un rango entre los nodos de la red que permite diferenciar su importancia relativa
Summary
We consider the structure of social networks corresponding to primitive societies where each individual belongs to a clan. Para nuestros fines de construir un modelo de la sociedad, tenemos que entender la descripción y el papel de los clanes en una red social S, puramente desde el punto de vista de los enlaces entre individuos dentro y fuera del clan.
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