Every k-tree has book thickness at most k + 1, and this bound is best possible for all k ≥ 3. Vandenbussche et al. [SIAM J. Discrete Math., 2009] proved that every k-tree that has a smooth degree-3 tree decomposition with width k has book thickness at most k. We prove this result is best possible for k ≥ 4, by constructing a k-tree with book thickness k + 1 that has a smooth degree-4 tree decom...

to determine the relationship between yield and components of it and identify the effective traits on yield, 97 tomato landraces from west azarbaijan in iran (83 landraces) and iğdır in turkey (14 landraces) along with three commercial cultivars were studied using an alpha lattice design with two replications. the experiment was carried out at the agriculture and natural resources research cent...

Introduction: Rhinoplasty is one of the most common surgical procedures performed among Iranians. An important issue to be considered by nasal surgeons is anatomical variations between different ethnic groups. Working on Iranians with the existing ethnic variety encourages the need for an analysis of this particular population.   Materials and Methods: The present cross-...

there are many surgical techniques for treating gynecomastia. we report a new surgical technique in an adolescent with fatty glandular gynecomastia grade iii, who was referred from an endocrinologist to our clinic. we excised the gynecomastia with nipple repositioning utilizing the dermoglandular flap (about 1 cm thickness and 10 cm width). after one month, no complication was detected and the ...

a knowledge of physical properties of sunflower seed is essential for the design and development of such processing equipment as handling, separating, dehulling and storing. in this research, physical properties of sunflower seed, (azargol variety as a case of study, was investigated at various moisture contents (3-14% d.b) and in three categories of big, average and small sizes samples. the re...

A layer of very viscous liquid (e.g. tar, molten glass) spans a chasm between two vertical walls. The slow fall or slump of this initially-rectangular liquid bridge is analysed. A semi-analytical solution is obtained for the initial motion, for arbitrary thickness/width ratios. The formal limits of large and small thickness/width ratios are also investigated. For example, the centre section of ...

The microstructure evolution of magnetron-sputtered Ni/C multilayers was investigated by varying the Ni and C layer thickness in the region of a few nanometers. For the samples having 2.6-nm-thick C layers, the interface width increases from 0.37 to 0.81 nm as the Ni layer thickness decreases from 4.3 to 1.3 nm. Especially for the samples with Ni layers less than 2.0 nm, the interface width cha...

We present the results of picosecond time-resolved photoluminescence (PL) measurements for GaN/A1Ga1N MQWs with varying structural parameters, grown by metalorganic chemical vapor deposition under the optimal (iaN-like growth conditions. We have shown that the optimal GaN/A1GaN (x 0.2) MQW structures for UV light emitter applications are those with well widths ranging from 12 and 42 A and barri...

In this paper, properties of slab deformation in sizing press mill as one of the slab reduction processes in hot rolling mills have been evaluated using the elastoviscoplastic finite element method with explicit formulation. Effect of prarameters such as initial slab width and thickness, reduction, feed pitch, and anvil speed on factors such as dogbone formation, head and tail fishtail profile,...