Gyárfás conjectured in 2011 that every r-edge-colored K n contains a monochromatic component of bounded (“perhaps three”) diameter on at least ∕ ( r − 1 ) vertices. Letzter proved this conjecture with four. In note we improve the result case = 3: We show 3-edge-coloring either there is most three 2 vertices or color class spanning and has

During hematogenous metastasis, the arrest of tumor cells in microvasculature is a prerequisite for extravasation from circulation to distant host organ. To reveal such behavior, we implement three-dimensional numerical simulations on motion single cell microvessels at cellular scale and mainly investigate interactions among mechanical entrapment, adhesion, stiffness, their effects arrest. Two ...

This paper proposes a method by means of which it is possible to calculate the circulation and evaporation rates and thus optimise the design of pans. It is shown that when designing batch pans there is an optimum combination of tube length, diameter and circulation ratio to produce maximum circulation for a given graining volume and heating surface/volume ratio. Similarly when designing contin...

Using predesigned trains of femtosecond optical pulses, we have selectively excited coherent phonons of the radial breathing mode of specific-chirality single-walled carbon nanotubes within an ensemble sample. By analyzing the initial phase of the phonon oscillations, we prove that the tube diameter initially increases in response to ultrafast photoexcitation. Furthermore, from excitation profi...

Electronic transport measurements were performed on Y-junction carbon nanotubes. These novel junctions contain a large diameter tube branched into smaller ones. Independent measurements using good quality contacts on both individual Y junctions and many in parallel show intrinsic nonlinear transport and reproducible rectifying behavior at room temperature. The results were modeled using classic...

Background: The increase of stress following the technological improvements appears to be an important factor that causes organs disorders like genital system. Therefore the present study was conducted to investigate the effects of chronic multiple sequential stress on rat epididim. Materials and Methods: 18 Wistar rats were divided randomly into two equal groups. In animals under stress, the m...

In this experiment effect of two full and half width sinusoidal inner tubes in triplex-tube heat exchanger with phase change material (PCM) was investigated. Length and diameter of the tubes have been chosen such that the area of each tube to be the same. Charging and discharging processes were carried out by inner tube, outer tube and both. Results indicated, PCM melting and solidification tim...

Tracheostomy tubes are used to administer positive-pressure ventilation, to provide a patent airway, and to provide access to the lower respiratory tract for airway clearance. They are available in a variety of sizes and styles from several manufacturers. The dimensions of tracheostomy tubes are given by their inner diameter, outer diameter, length, and curvature. Differences in dimensions betw...