the omega polynomial(x) was recently proposed by diudea, based on the length of stripsin given graph g. the sadhana polynomial has been defined to evaluate the sadhana index ofa molecular graph. the pi polynomial is another molecular descriptor. in this paper wecompute these three polynomials for some infinite classes of nanostructures.

in this paper, we show how certain metabelian groups can be found within polynomial evaluation groupoids. we show that every finite abelian group can beobtained as a polynomial evaluation groupoid.

In this paper we try to complete the stability analysis for an abstract system of coupled hyperbolic and parabolic equations utt+Au−Aαw=0,wt+Aαut+Aβw=0,u(0)=u0,ut(0)=u1,w(0)=w0,where A is a self-adjoint, positive definite operator on complex Hilbert space H, (α,β)∈[0,1]×[0,1], which considered in Ammar-Khodja et al. (1999), after, Hao (2013). Our contribution identify fine scale polynomial solu...

We find an explicit expression of the Tutte polynomial of an $n$-fan. We also find a formula of the Tutte polynomial of an $n$-wheel in terms of the Tutte polynomial of $n$-fans. Finally, we give an alternative expression of the Tutte polynomial of an $n$-wheel and then prove the explicit formula for the Tutte polynomial of an $n$-wheel.