The topological index is a numerical representation of molecular structure and predicts the physical property chemical compound. In present work, we have developed explicit expressions recently defined novel Ve- degrees Ev-degrees based indices Magnesium Oxide MgO (111). For this by consider unit cell (111) which extended to its general structure. After that, computed Ve-degrees then employing ...

A new topological index J (based on distance sums s i as graph invariants) is proposed. For unsaturated or aromatic compounds, fractional bond orders are used in calculating s i. The degeneracy of J is lowest among all single topological indices described so far. The asymptotic behaviour of J is discussed, e.g. when n ~ ~ in CnH2n+2, J ~ ~r for linear alkanes, and J ~ ** for highly branched ones.

Abstract. It is known that, in general, no computational techniques can verify the existence of a singular solution of the nonlinear system of n equations in n variables within a given region x of n-space. However, computational verification that a given number of true solutions exist within a region in complex space containing x is possible. That can be done by computation of the topological d...

We study the existence and stability of periodic solutions of a canonical mass-spring model of electrostatically actuated micro-electro-mechanical system (MEMS) by means of classical topological techniques like a-priori bounds, Leray-Schauder degree and topological index. A saddle-node bifurcation is revealed, in analogy with the autonomous case.