A labeled graph is said to be weakly bipartite if the clutter of its odd cycles is ideal. Seymour conjectured that a labeled graph is weakly bipartite if and only if it does not contain a minor called an oddK5. A proof of this conjecture is given in this paper. Let G = (V;E) be a graph and E. We call edges in odd and edges in E even. The pair (G; ) is called a labeled graph. A subset L E(G) is ...

maximizing economic earnings is the most common goal in cut-off grade optimization of open-pit mining operations. when this is the case, the price of the product has a critical effect on optimum value of cut-off grade. this paper investigates the relationship between optimum cut-off grade and price to maximize total cash flow and net percent value (npv) of operation. in order to visualize this ...

in this paper, we study an equivalence relation on the set of fuzzysubgroups of an arbitrary group g and give four equivalent conditions each ofwhich characterizes this relation. we demonstrate that with this equivalencerelation each equivalence class constitutes a lattice under the ordering of fuzzy setinclusion. moreover, we study the behavior of these equivalence classes under theaction of a...

Abstract The generation of low surface roughness the cut edge during laser beam cutting is a challenge. striation pattern, which determines roughness, can be distinguished into regular and interrupted striations, latter resulting in an increased roughness. In order to analyse their formation, space- time-resolved front geometry melt film thickness were captured fusion aluminium sheets with fram...

We study the stable matching problem in non-bipartite graphs with incomplete but strict preference lists, where the edges have weights and the goal is to compute a stable matching of minimum or maximum weight. This problem is known to be NP-hard in general. Our contribution is two fold: a polyhedral characterization and an approximation algorithm. Previously Chen et al. have shown that the stab...

BACKGROUND Previous studies have suggested that women do not accrue equal therapeutic benefit from antiplatelet medication as compared with men. The physiological mechanism and clinical implications behind this gender disparity have yet to be established. METHODS On-treatment platelet reactivity was determined in 717 men and 234 women on dual antiplatelet therapy, undergoing elective coronary...

-The incidence of oncofoetal antigens has been reported to be increased in patients with gynaecological cancers. In this study the incidence of CEA, AFP, and hCG (, subunit) were studied in patients with adenocarcinoma of the ovary, adenocarcinoma of the cervix, and squamous-cell carcinoma of the cervix. Using a low cut-off point (CEA 2 5 ,ug/l, AFP 5 ,ug/l, and hCG 3 i.u./l) there is an unacce...

OBJECTIVES To study the prevalence of female genital cutting (FGC) in a nulliparous population admitted for childbirth. In addition, the type of FGC, the motives supporting FGC and perineal damage associated with this practice were evaluated. SUBJECTS AND METHODS A prospective cross-sectional study was conducted in the labor ward, Department of Obstetrics and Gynecology, Assiut University Hos...

in this paper we carried out an exact statistics on the basis of total admission due to abortions, with following results: 1- abortion incidence is 14 of total admissions. 2- 46.8 of abortions were between the 8th and 12th weeks of gestation. 3- 42,038 of the patients with abortion were 24 years old or younger (younger than 25 years of age). 4- the abortion incidence is equal in different blood...