Out of the minds of babes.

Omega and PIv Polynomial in Dyck Graph-like Z(8)-Unit Networks

Design of crystal-like lattices can be achieved by using some net operations. Hypothetical networks, thus obtained, can be characterized in their topology by various counting polynomials and topological indices derived from them. The networks herein presented are related to the Dyck graph and described in terms of Omega polynomial and PIv polynomials.

Hyper-tubes of hyper-cubes

Hyper-tubes consisting of hyper-cubes of n-dimensions were designed and formulas for substructures of vary dimensions established.

Existence and uniqueness of the solution for a general system of operator equations in $b-$metric spaces endowed with a graph

The purpose of this paper is to present some coupled fixed point results on a metric space endowed with two $b$-metrics. We shall apply a fixed point theorem for an appropriate operator on the Cartesian product of the given spaces endowed with directed graphs. Data dependence, well-posedness and Ulam-Hyers stability are also studied. The results obtained here will be applied to prove the existe...

Padmakar V Khadikar-Curriculum Vitae

Out of the mouths of babes.