We study bipartite distance-regular Cayley graphs with diameter three or four. give sufficient conditions under which a graph can be constructed on the semidirect product of group — part this contains identity element and $\mathbb{Z}_{2}$. apply to case three, consider cases where are not satisfied for some specific groups such as dihedral group.We also extend result by Miklavič Potočnik that r...

Let Γ = (X, R) denote a distance-regular graph with distance function ∂ and diameter d ≥ 3. For 2 ≤ i ≤ d, by a parallelogram of length i, we mean a 4-tuple xyzu of vertices in X such that ∂(x, y) = ∂(z, u) = 1, ∂(x, u) = i, and ∂(x, z) = ∂(y, z) = ∂(y, u) = i − 1. Suppose the intersection number a1 = 0, a2 6= 0 in Γ. We prove the following (i)-(ii) are equivalent. (i) Γ is Q-polynomial and con...

We show that if the intersection number c2 > 1 then any weak-geodetically closed subgraph of X is distance-regular. Γ is said to be i-bounded, whenever for all x, y ∈ X at distance δ(x, y) ≤ i, x, y are contained in a common weakgeodetically closed subgraph of Γ of diameter δ(x, y). By a parallelogram of length i, we mean a 4-tuple xyzw of vertices in X such that δ(x, y) = δ(z, w) = 1, δ(x,w) =...

−Precise control of fiber diameter during electrospinning is very crucial for many applications. A systematic and quantitative study on the effects of processing variables enables us to control the properties of electrospun nanofibers. In this contribution, response surface methodology (RSM) was employed to quantitatively investigate the simultaneous effects of four of the most important parame...

Topography and microstructure engineering are rapidly evolving areas of importance for biomedical and pharmaceutical remits. Here, PVA (Polyvinyl alcohol) microbubbles (diameter range ~126 to 414 μm) were used to fabricate beaded (beads-on) nanofibers using an electrohydrodynamic atomization (EHDA) technique. Mean fiber diameter, inter-bead distance, and aspect ratio (AR) were investigated by r...

Cornelian cherry is one of the most important small fruits in Arasbaran region, with wide applications in medicines and food products. In this study, the relationship among 28 quantitative and qualitative traits related to fruit, leaf, tree, and flower of 20 cornelian cherry genotypes was evaluated. Significant positive as well as negative correlations were found among some important quantitati...

The foramen Magnum is a large opening in the occipital bone of the cranium. The dimensions of the foramen magnum are clinically important because vital structures passing through it may endure compression such as in cases of foramen magnum herniation, foramen Magnum meningiomas and foramen magnum achondroplasia. We studied one hundred dry, adult human skull of unknown sex and measured anteropos...

Objective(s): The present study was conducted to examine whether the standardized uptake value (SUV) may be affected by the spatial position of a lesion in the radial direction on positron emission tomography (PET) images, obtained via two methods based on time-of-flight (TOF) reconstruction and point spread function (PSF). Methods: A cylinder phantom with the sphere (30mm diameter), located in...