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 $r$.
EBRAHIMZADEH, A., & EBRAHIMI, M. (2014). ENTROPY OF DYNAMICAL SYSTEMS ON WEIGHTS OF A GRAPH. Journal of Mahani Mathematical Research, 2(1), 53-63. doi: 10.22103/jmmrc.2014.668
MLA
A. EBRAHIMZADEH; M. EBRAHIMI. "ENTROPY OF DYNAMICAL SYSTEMS ON WEIGHTS OF A GRAPH", Journal of Mahani Mathematical Research, 2, 1, 2014, 53-63. doi: 10.22103/jmmrc.2014.668
HARVARD
EBRAHIMZADEH, A., EBRAHIMI, M. (2014). 'ENTROPY OF DYNAMICAL SYSTEMS ON WEIGHTS OF A GRAPH', Journal of Mahani Mathematical Research, 2(1), pp. 53-63. doi: 10.22103/jmmrc.2014.668
VANCOUVER
EBRAHIMZADEH, A., EBRAHIMI, M. ENTROPY OF DYNAMICAL SYSTEMS ON WEIGHTS OF A GRAPH. Journal of Mahani Mathematical Research, 2014; 2(1): 53-63. doi: 10.22103/jmmrc.2014.668
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