Abstract A vertex (edge) irregular total k-labeling φ of a graph G is a labeling of the vertices and edges of G with labels from the set {1, 2, . . . , k} in such a way that any two different vertices (edges) have distinct weights. Here, the weight of a vertex x in G is the sum of the label of x and the labels of all edges incident with the vertex x, whereas the weight of an edge is the sum of label of the edge and the vertices incident to that edge. The minimum k for which the graph G has a vertex (edge) irregular total k-labeling is called the total vertex (edge) irregularity strength of G. In this paper, we are dealing with infinite classes of convex polytopes generated by prism graph and antiprism graph. We have determined the exact value of their total vertex irregularity strength and total edge irregularity strength.

Abstract This pagination specifies the characteristics of Cattaneo-Christov heat diffusion model for the stagnation point flow of a Carreau nano-fluid. The momentum equation is manifested with magneto-hydrodynamic effect and the generalised Fourier’s law and Fick’s law are considered to manipulate the heat and mass flux with heat generation and chemical reaction. The fluid flow having infinite shear rate viscosity is caused by the stretched sheet. The admissible transformations are invoked to alter the flow narrating coupled partial differential system into the coupled ordinary differential system. Later on, these equations are sorted out numerically with the aid of Runge-Kutta Fehlberg method supported with shooting scheme. The graphs are plotted that portrays the impact of fluid velocity and temperature towards various engineering parameters which reveals that the fluid temperature increases when enlarging heat generation parameter. The validations for the numerical values of skin friction coefficient are delineated with the existing literature. Also, the numerical findings for the local Nusselt number are offered.

ABSTRACT Background: This study aimed to define the sex-divided reference intervals for platelet indices (mean platelet volume (MPV), platelet distribution width (PDW), platelet large cell ratio (P-LCR) and plateletcrit (PCT)) on the Sysmex XN-10. Methods: A total of 2376 samples were assayed for full blood count on the Sysmex XN-10 haematology analyzer. After removing the outliers, reference intervals were calculated using the mean ± 2SD. The P value 0.05 was adopted to denote statistical significance. Results: There was a statistical significance (α = 0.05) between sex-divided reference intervals for MPV (p = 0.007), P-LCR (p = 0.015) and PCT (p < 0.001), thus separate reference intervals were calculated for these indices, with orientation to the sex-divisions as follows: MPV, 9.1-13.0 fL [males] and 9.2-12.8 fL [females]; P-LCR, 17.6-47.0% [males] and 17.8-47.8% [females]; and PCT, 0.16-0.35% [males] and 0.18-0.37% [females]. No significance was found between sex-divided reference intervals for the PDW (p = 0.838), therefore a reference interval for total individuals was calculated for this platelet measurement as 9.3-17.3 fL. Conclusion: This study showed comparable reference intervals, using the Sysmex XN-10, with the previous literature. It determined the need to define sex-specific reference intervals for the MPV, P-LCR and PCT, but not for the PDW. These reference intervals will allow for low and high values to be facilitated in order to do further research and guide platelet disorder management.