Deficiency zero is an important network structure and has been the focus of many celebrated results within reaction theory. In our previous paper Prevalence deficiency networks in Erdős-Rényi framework, we provided a framework to quantify prevalence among randomly generated networks. Specifically, given binary with n species, edge between two arbitrary vertices occurring independently probabili...

Among the six classes of pro-2-groups of finite and fixed co-classes and trivial Schur Multiplicator which studied by Abdolzadeh and Eick in 2009, there are two classes $$S_5=langle a,bmid [b,a^2]=1, a^2=[b,a]^2, (b^2)^{[b,a]}b^2=1rangle$$ and $$S_6=langle a,t,bmid a^2=b^2,[b,a]^2=1, t^a=t^{-1}[b,a], b^t=abarangle$$that have been conjectured to have deficiency zero presentations. In this paper ...

Background Obese children are at the risk of micronutrient deficiency especially iron deficiency. Given the importance of iron deficiency in this age group and considering the existing discrepancies, present study was performed with the aim of evaluating iron deficiency in obese children. Material and Method This study was conducted, in the form of a case-control study, on 100 children aged...