A. EBRAHIMZADEH - ISLAMIC AZAD UNIVERSITY
M. EBRAHIMI - SHAHID BAHONAR UNIVERSITY OF KERMAN,
MASHALLAH MASHINCHI - DEPARTMENT OF STATISTICS, SHAHID BAHONAR UNIVERSITY OF KERMAN, IRAN.

Let $G$ be a finite simple graph whose vertices and edges are weighted by two functions. In this paper we shall define and calculate entropy of a dynamical system on weights of the graph $G$, by using the weights of vertices and edges of $G$. We examine the conditions under which entropy of the dynamical system is zero, possitive or $+infty$. At the end it is shown that, for $rin [0,+infty]$, there exists an order preserving transformation with entropy $r$.

Dynamical system, Entropy, Order preserving transformation, Weight