We prove that every family of (not necessarily distinct) odd cycles $O_1, \dots, O_{2\lceil n/2 \rceil-1}$ in the complete graph $K_n$ on $n$ vertices has a rainbow cycle (that is, set edges from distinct $O_i$'s, forming an cycle). As part proof, we characterize those families $K_{n+1}$ do not have any cycle. also $K_{n+1}$, as well edge-disjoint nonempty subgraphs without

We investigate a class of odd (ramification) coverings C → ℙ1 where is hyperelliptic, its Weierstrass points map to one fixed point and the covering makes hyperelliptic involution commute with an ℙ1. show that total number minimal degree 4g \(\left({\matrix{{3g} \cr {g - 1} \cr}} \right){2^{2g}}\) when general. Our study approached from three main perspectives: if effective theta characteristic...

Background: The aim of this study was to understand any association between differentiated thyroid carcinoma (DTC) and Ile3434Thr XRCC7 gene polymorphism (GenBank accession number: rs7830743). DTC is the most prevalent thyroid neoplasm, which includes papillary and follicular cell carcinoma. XRCC7 gene encodes a protein that functions in non-homologous end joining DNA repair pathway. Non-synony...

background: cholecystitis is one of the major digestive diseases. its prevalence is particularly high in some populations. significant risk factors associated with cholecystitis include age, sex, obesity, diet, parity and type 2 diabetes. objective: to determine the association between hla-drb1 and cholecystitis. methods: this casecontrol study included forty iraqi arab patients who had cholecy...

We calculate the ratio of the two branching ratios, Br(h → bb) and Br(h → cc) + Br(h → gg), in the minimal supersymmetric standard model taking into account the SUSY-loop corrections to the Higgs sector and the hbb vertex. We show that the heavy Higgs mass can be extracted from the ratio, almost independently of other SUSY parameters, in the region of tanβ < ∼ 10. It was pointed out that the CP...

background acute upper gastrointestinal bleeding (ugib) is a common medical emergency and is known as one of the main causes of mortality and morbidity. this research was conducted to study the causes and risk factors for ugib, in a referral center. methods in this cross sectional study, carried out in a one year period, all patients with acute ugib living in khorramabad city and surrounding ar...