Positional Word Web and Its Numerical and Analytical Studies

摘要

We present numerical studies of the positional word web [1], based on an ancient text (The Bible). Adopting methods from the graph theory we show that such a web has small world and scale free properties [6,11. Degree distribution and hierarchy of nodes in various word webs are also studied. Complete solution of the mathematical model, which explains the differences between the data and the previous model of Dorogovtsev and Mendes [4] is presented.