We show that the maximum number of convex polygons in a triangulation of n points in the plane is O(1.5029). This improves an earlier bound of O(1.6181) established by van Kreveld, Löffler, and Pach (2012) and almost matches the current best lower bound of Ω(1.5028) due to the same authors. Given a planar straight-line graph G with n vertices, we also show how to compute efficiently the number ...

For any planar straight line graph (Pslg), there is a vertexface assignment such that every vertex is assigned to at most two incident faces, and every face is assigned to all its reflex vertices and one more incident vertex. The existence of such an assignment implies, in turn, that any Pslg can be augmented to a connected Pslg such that the degree of every vertex increases by at most two.

This study investigates the leaf anatomy of five Cupressaceae taxa in Kurdistan region-Iraq. Using light microscope for numerical and descriptive anatomical variations three species two varieties belonging to Cupressus, Platycladus, Juniperus genera were examined Taxonomic value. These include characters epiderm, hypoderm, mesophyll layer, resin canals, transfusion tracheids, pith, vascular bun...

background: isolated right bundle branch block (rbbb) is a common finding in the general population. the atrioventricular node (avn) artery contributes to the blood supply of the right bundle branch. our hypothesis was that the anatomy of the avn artery and the pattern of dominancy differ between subjects with and without rbbb. methods: w e retrospectively studied the coronary angiography of 92...

introduction: skin resistance is greatly dependent on its collagen amount and nutritional substances such as crude protein that affect the skin collagen can indirectly influence the skin resistance and increase its strength. in this regard, this study aimed to evaluate the effect of in ovo methionine injection on histomorphometry of the skin layers. methods: thirty fertilized eggs of ross 308 b...

A wide spectrum of Peritrichous bacteria undergo considerable physiological changes when they are inoculated onto nutrition-rich surfaces and exhibit a rapid and collective migration denoted as swarming. Thereby, the length of such swarmer cells and their number of flagella increases substantially. In this article, we investigated the properties of individual E. coli-type swarmer cells confined...

The performance of pinhole single photon emission computed tomography (SPECT) depends on the spatial resolution of the gamma-ray detectors used. Pinhole cameras suffer from strong resolution loss due to the varying depth-of-interaction (DOI) of gamma quanta that enter the detector material at an angle. We eliminate DOI effects in a scintillation gamma camera via a dedicated optic fiber bundle t...

Let X be a complete hyperbolic surface, perhaps the hyperbolic plane H , and let X denote the unit tangent bundle T (X) to X (and H = T H). There are three flows on X which will concern us here. They are realized by three cars, as represented in Figure 1. The cars all have their steering wheels locked in position: the first car drives straight ahead, the second one steers to the left so as to f...