Keaitsuda Maneeruk Nakprasit

Some Bounds for the Polar Derivative of a Polynomial

The polar derivative of a polynomial of degree with respect to a complex number is a polynomial , denoted by . Let . For a polynomial of degree having all its zeros in , we investigate a lower bound of modulus of on . Furthermore, we present an upper bound of modulus of on for a polynomial of degree having no zero in . In particular, our results in case generalize some well-known inequalities.

The Game Coloring Number of Planar Graphs with a Specific Girth

Let

Analytic Solutions of a Second-Order Functional Differential Equation with a State Derivative Dependent Delay

\mathrm{col_g}(G)

The strong chromatic index of graphs and subdivisions

colg(G) be the game coloring number of a given graph G. Define the game coloring number of a family of graphs

An Upper bound of a derivative for some class of polynomials

\mathcal {H}

Complexity of equitable tree-coloring problems

H as