Let G be a graph embedded in the plane and let A be an arrangement of pseudolines intersecting the drawing of G. An aligned drawing of G and A is a planar polyline drawing Γ of G with an arrangement A of lines so that Γ and A are homeomorphic to G and A. We show that if A is stretchable and every edge e either entirely lies on a pseudoline or intersects at most one pseudoline, then G and A have...

Refer to Figure 1. A monotone matching is a set of n segments, each the portion of a unique pseudoline, and each spanning a unique slab, such that the left endpoint of each segment is above the right endpoint of the segment in the previous slab. In addition, the point on the first vertical line is below the left endpoint of the first segment, and the point on the last vertical line is above the...

This thesis explores two specific topics of discrete geometry, the multitriangulations and the polytopal realizations of products, whose connection is the problem of finding polytopal realizations of a given combinatorial structure. A k-triangulation is a maximal set of chords of the convex n-gon such that no k+1 of them mutually cross. We propose a combinatorial and geometric study of multitri...

To study the anticoccidial and antioxidant effects of garlic powder (GP) and total sulfur amino acid (TSAA) on growth performance, faecal oocyst output, oxidative stress indicators and antioxidant status markers in broiler chickens, a 2 × 2 × 2 splitplot-factorial arrangement of treatments was used. A total of 480-day-old male broiler chickens were equally assigned to two plots. Two hundred for...

Diffraction peak profiles were calculated numerically for dislocation ensembles with different spatial arrangements and correlations between the Burgers vector signs. The latter property determines stored elastic energy in crystal width of diffraction peaks. It is shown that within approximation asymptotic line-profile theory relationship breadth magnitude modified Williamson-Hall (mWH) plot li...

Consequently, unreplicated experiments are commonplace in early generation trials (Kempton and Gleeson, Early generation selection experiments typically involve several 1997; Martin, 2002). Because of the number of genohundred to thousands of lines. Various systematic and statistical techniques have been developed to increase effectiveness and efficiencies types included and large land area req...

to study the anticoccidial and antioxidant effects of garlic powder (gp) and total sulfur amino acid (tsaa) on growth performance, faecal oocyst output, oxidative stress indicators and antioxidant status markers in broiler chickens, a 2 × 2 × 2 splitplot-factorial arrangement of treatments was used. a total of 480-day-old male broiler chickens were equally assigned to two plots. two hundred for...