Received (received date) Revised (revised date) Communicated by Editor's name ABSTRACT The network properties of double and triple xed step graphs are considered. We determine that the broadcast times of double and triple xed step graphs of diameter D are equal to D + 2 and D + 3, respectively. Some results on the embeddings of grids into these graphs with dilation 1 and 2 are given. For a trip...

The largest possible average diameter of a bounded cell of a simple hyperplane arrangement is conjectured to be not greater than the dimension. We prove that this conjecture holds in dimension 2, and is asymptotically tight in fixed dimension. We give the exact value of the largest possible average diameter for all simple arrangements in dimension 2, for arrangements having at most the dimensio...

We study the relationship between transfinite diameter, Chebyshev constant and Wiener energy in the abstract linear potential analytic setting pioneered by Choquet, Fuglede and Ohtsuka. It turns out that, whenever the potential theoretic kernel has the maximum principle, then all these quantities are equal for all compact sets. For continuous kernels even the converse statement is true: if the ...

The largest possible average diameter of a bounded cell of a simple hyperplane arrangement is conjectured to be not greater than the dimension. We prove that this conjecture holds in dimension 2, and is asymptotically tight in fixed dimension. We give the exact value of the largest possible average diameter for all simple arrangements in dimension 2, for arrangements having at most the dimensio...

Abstract One of the classical problems hydrodynamics is problem droplet deformation in state neutral buoyancy under action an external force. It assumed that if size initially equal to or less than capillary diameter, it takes shape a regular sphere, regardless density gradient environment and droplet, degree their mutual solubility, possibility Marangoni convection, time elapsed since creation...

zinnia elegans, an annual flowering plant of the genus zinnia, is one of the best known zinnias. present study was conducted to evaluate the effect of different growing media on the growth and flowering of zinnia elegans. seven different growth media including coconut compost, silt, soil loam, leaf manure, (leaf manure + silt; 2:1), (coconut compost + soil loam; 1:1) and (leaf manure + soil loa...

BACKGROUND/AIM Inflammation plays an important role in the pathophysiology of vascular disease. In this study, we aimed to evaluate the associations of neutrophil to lymphocyte ratio (NLR; an indicator of inflammation) with left ventricular ejection fraction and ascending aorta diameter in patients with a bicuspid aortic valve (BAV). MATERIALS AND METHODS One hundred and thirty-nine consecuti...

Abstract Modern manufacturers of tools for turning threads make them with a non-zero value the side rake angle cutting edge, which significantly increases their efficiency. The this is approximately equal to thread lead angle. However, today there lack theoretical research that would provide an algorithm calculating effect edge on one indicators accuracy - pitch diameter. Its particularly notic...

Interpretive zone size breakpoints for diffusion tests with 30-micrograms cefotiam disks are diameters of greater than or equal to 18 mm for susceptible and less than or equal to 14 mm for resistant strains. The standard control strains Escherichia coli ATCC 25922 and Staphylococcus aureus ATCC 25923 should both give zones 27 to 33 mm in diameter. Tests with 579 clinical isolates yielded an una...