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 and 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
EBRAHIMZADEH,A , and EBRAHIMI,M . "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
CHICAGO
A EBRAHIMZADEH and 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
VANCOUVER
EBRAHIMZADEH A, EBRAHIMI M. ENTROPY OF DYNAMICAL SYSTEMS ON WEIGHTS OF A GRAPH. J. Mahani Math. Res.. 2014;2(1):53-63. doi: 10.22103/jmmrc.2014.668
