The vertex Zagreb indices of some graph operations
Journal Title: Карпатські математичні публікації - Year 2016, Vol 8, Issue 2
Abstract
Recently, Tavakoli et al. introduced a new version of Zagreb indices, named as vertex Zagreb indices. In this paper explicit expressions of different graphs operations of vertex Zagreb indices are presented and also as an application, explicit formulas for vertex Zagreb indices of some chemical graphs are obtained.
Authors and Affiliations
N. De
Poincare series for the algebras of joint invariants and covariants of n quadratic forms
We consider one of the fundamental objects of classical invariant theory, namely the Poincare series for an algebra of invariants of Lie group $SL_2$. The first two terms of the Laurent series expansion of Poincar\'e se...
Parabolic systems of Shilov-type with coefficients of bounded smoothness and nonnegative genus
The Shilov-type parabolic systems are parabolically stable systems for changing its coefficients unlike of parabolic systems by Petrovskii. That's why the modern theory of the Cauchy problem for class by Shilov-type syst...
Analogues of Whittker's theorem for Laplace-Stieltjes integrals
For the maximum of the integrand of Laplace-Stieltjes integral the lower estimates on sequence are found. Using the estimates we obtained analogues of Whittaker's theorem for entire functions given by lacunary power seri...
On the convergence of multidimensional S-fractions with independent variables
In this paper, we investigate the convergence of multidimensional S-fractions with independent variables, which are a multidimensional generalization of S-fractions. These branched continued fractions are an efficient to...
Separating polynomials and uniform analytical and separating functions
We present basic results of the theory of separating polynomials and uniformly analytic and separating functions on separable real Banach spaces. We consider basic properties of separating polynomials and uniformly analy...