The Wiener number of a connected graph is equal to the sum of distances between all pairs of its vertices. A graph formed by a row of n hexagonal cells is called an n-hexagonal chain. Wiener number of an n x m hexagonal rectangle was found by the authors. An n x m hexagonal jagged-rectangle whose shape forms a rectangle and the number of hexagonal cells in each chain alternate between n and n 1...

the sadhana index (sd) is a newly introduced cyclic index. efficient formulae for calculatingthe sd (sadhana) index of linear phenylenes are given and a simple relation is establishedbetween the sd index of phenylenes and of the corresponding hexagonal sequences.

in this paper we present explicit formulas for the eccentric connectivity index of three classesof chain hexagonal cacti. further, it is shown that the extremal chain hexagonal cacti withrespect to the eccentric connectivity index belong to one of the considered types. some openproblems and possible directions of further research are mentioned in the concluding section.

Abstract In this paper, a new design of compact Multi Input and Output (MIMO) elliptic ring antenna applied to 5G-UWB wireless mobile communications is discussed. There are two designs, first consists radiators both perpendicular in single side. The second four they each other Those designs with small size substrate material Roger 4003 mounted over partial ground dimensions 30 × 0.203 mm 3 for ...

Chapter 2. Methods of calculation of Nonlinear interactions in sound beams Small parameters used in the calculation of wave interactions Solution of the equations of hydrodynamics by the method of successive approximations Calculation of the secondary field by the Green's function method: The Westervelt formula Estimates of the basic characteristics of parametric radiators by means of nomograms...

For many years the concept of using hexagonal pixels for image capture has been investigated, and several advantages of such an approach have been highlighted. Recently there has been a renewed interest in the use of hexagonal images: biologically inspired approaches, representation of architectures for such images and general hexagonal image processing. We present multiscale hexagonal gradient...

In this paper, Ultra-Wideband Multi-Input-Multi-Output (UWB-MIMO) antenna with band-notched features is introduced. The band notch of the designed by inserting T-strip into radiating patch to eliminate interference WiMAX applications from 3 4 GHz. To improve isolation and diversity between radiators, radiators are arranged orthogonally decoupling structure added them. proposed has a compact siz...