  Studies of social structures has been grown on the last years, because its
sharing form and content creation attracted the public in general. Such
structures are observed, as an example, in literary pieces. A featured author
is J.R.R. Tolkien, with his books that describe a fictional world and its
inhabitants. These books bring a narrative of the creation of the Middle-Earth
and all of its mythology. His main pieces are: The Silmarillion, The Hobbit and
The Lord of the rings, The objective of this article is the analysis of the
social structures emerging of the conjunction of these works, where the social
relations are described by the reference criteria, shared events and direct
bonds, with the major centrality measures together with the structural entropy
of first order. Enabling the doing of an analogy with the canonic ensemble of
the mechanics statistics and enabling analyzing the degree of homogeneity of
the bonds between the formed communities.
