THE THETA Θ(G,X) POLYNOMIAL OF AN INFINITE FAMILY OF THE LINEAR PARALLELOGRAM P(N,M)

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Published: 2015-08-29

Page: 206-209


MOHAMMAD REZA FARAHANI *

Department of Applied Mathematics, Iran University of Science and Technology (IUST), Narmak, 16844, Tehran, Iran.

*Author to whom correspondence should be addressed.


Abstract

The Omega polynomial was defined by M.VDiudea as Ω(G,x)m(G,c)mc, where the number of edges co-distant with e is denoted by c and m(G,c) is the number of its repeatation. One can obtain the Θ polynomial by inserting the coefficient c in the Omega polynomial. Then the Theta index will be the first derivative of the Theta Θ(G,x) polynomialevaluated at x=1.
In the present study, compute the Theta Θ(G,x) polynomial and the Theta Θ(G) index of an infinite family of the linear parallelogram P(n,m) of benzenoid graph is computed for the first time.

Keywords: Molecular graph, linear parallelogram, omega polynomial, theta polynomial, qoc strip


How to Cite

FARAHANI, M. R. (2015). THE THETA Θ(G,X) POLYNOMIAL OF AN INFINITE FAMILY OF THE LINEAR PARALLELOGRAM P(N,M). Journal of Applied Physical Science International, 4(4), 206–209. Retrieved from https://ikprress.org/index.php/JAPSI/article/view/3168

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