Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2003-12-22
Physica A: Statistical Mechanics and its Applications, Volume 344, Issues 3-4, 15 December 2004, Pages 530-536
Physics
Condensed Matter
Statistical Mechanics
Contribution to the Proceedings of `Trends and Perspectives in Extensive and Nonextensive Statistical Mechanics', in honour of
Scientific paper
10.1016/j.physa.2004.06.025
A thesaurus is one, out of many, possible representations of term (or word) connectivity. The terms of a thesaurus are seen as the nodes and their relationship as the links of a directed graph. The directionality of the links retains all the thesaurus information and allows the measurement of several quantities. This has lead to a new term classification according to the characteristics of the nodes, for example, nodes with no links in, no links out, etc. Using an electronic available thesaurus we have obtained the incoming and outgoing link distributions. While the incoming link distribution follows a stretched exponential function, the lower bound for the outgoing link distribution has the same envelope of the scientific paper citation distribution proposed by Albuquerque and Tsallis. However, a better fit is obtained by simpler function which is the solution of Ricatti's differential equation. We conjecture that this differential equation is the continuous limit of a stochastic growth model of the thesaurus network. We also propose a new manner to arrange a thesaurus using the ``inversion method''.
Jesus Holanda Adriano de
Kinouchi Osame
Martinez Alexandre Souto
Pisa Ivan Torres
Seron Ruiz Evandro Eduardo
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