Gerards and Seymour conjectured that every graph with no odd Kt minor is (t − 1)-colorable. This a strengthening of the famous Hadwiger’s Conjecture. Geelen et al. proved $$O(t\sqrt {\log t} )$$ -colorable. Using methods present authors Postle recently developed for coloring graphs minor, we make first improvement on this bound by showing O(t(logt)β)-colorable β > 1/4.

The most common hypochrom microcytic anemia are iron deficiency anemia (IDA) and thalassemia minor (TM). The results of some studies have shown that IDA can cause misdiagnosis of heterozygote β-thalassemia due to decrease in HbA2 level. Our aim in this study was evaluating the effect of IDA on HbA2 levels; Furthermore hematolagic values in CBC of these two diseases will be compared. In this stu...

Background Until now, no study has been reported investigating the association between β-thalassemia minor and Helicobacter pylori (H. pylori) infection. This study was designed to compare H. pylori infection rate between β-thalassemia minor patients and healthy controls. Methods A number of 100 β-thalassemia minor patients (50 males, 50 females) and 100 gender-matched healthy controls were p...

BACKGROUND β-thalassemia is the most common hereditary disease in Iran and more than 2 million carriers of the β-thalassemia mutant gene are living in this country. OBJECTIVE To determine pregnancy outcome of women with β-thalassemia minor. MATERIALS AND METHODS In this retrospective, case-control study in two universities affiliated hospitals in Shiraz, all pregnancies occurred between 200...

Let H be a graph with κ1 components and κ2 blocks, and let G be a minor-minimal 2-connected graph having H as a minor. This paper proves that |E(G)| − |E(H)| ≤ α(κ1 − 1) + β(κ2 − 1) for all (α, β) such that α + β ≥ 5, 2α + 5β ≥ 20, and β ≥ 3. Moreover, if one of the last three inequalities fails, then there are graphs G and H for which the first inequality

Background: β-thalassemia minor is characterized by reduced β-haemoglobin chain synthesis and sometimes mild anaemia, although carriers of β-thalassemia minorare usually clinically asymptomatic.Nonspecific abdominal complaints may be caused by gastrointestinal carbohydrate malabsorption (lactose and fructose) and/or malabsorption of biogenic amines (histamine), or proteins (gluten). Objectives:...

β-1,3:1,4-Glucan is a major cell wall component accumulating in endosperm and young tissues in grasses. The mixed linkage glucan is a linear polysaccharide mainly consisting of cellotriosyl and cellotetraosyl units linked through single β-1,3-glucosidic linkages, but it also contains minor structures such as cellobiosyl units. In this study, we examined the action of an endo-β-1,3(4)-glucanase ...