Let G be a graph with vertex set V(G) and edge E(G), let d(u,w) denote the length of u−w geodesic in G. For any v∈V(G) e=xy∈E(G), d(e,v)=min{d(x,v),d(y,v)}. distinct edges e1,e2∈E(G), R{e1,e2}={z∈V(G):d(z,e1)≠d(z,e2)}. Kelenc, Tratnik Yero [Discrete Appl. Math. 251 (2018) 204-220] introduced notion an resolving dimension graph: A subset S⊆V(G) is if |S∩R{e1,e2}|≥1 for dimension, edim(G), minimu...

Studies have shown that estradiol-17β (E2) regulates gonadotropin-releasing hormone (GnRH) and GnRH receptor expression in hypothalamus and pituitary. Several studies have shown that GnRH and its receptor are also expressed in peripheral reproductive organs and little is known about their regulations. In this study, GnRH and GnRH receptor structures, functions, their peripheral expressions and ...

In this paper we study Cohen-Macaulay local rings of dimension d, multiplicity e and second Hilbert coefficient e2 in the case e2=e1−e+1. Let h=μ(m)−d. If e2≠0 then our can prove that type(A)≥e−h−1. type(A)=e−h−1 show associated graded ring G(A) is Cohen-Macaulay. next when type(A)=e−h determine all possible series A. depthG(A) completely determines Series

conclusions this study provided conserved b-cell epitopes and peptides that can be useful for designing entry inhibitors and vaccines able to cover a global population, especially where genotype 5a is common. results differences in the probability of glycosylation in e1 and e2 regions were observed in this study. three conserved antigenic b-cell epitopes were predicted in the e2 regions and als...

Abstract Ubiquitination is an important modification process in eukaryotic organisms, and ubiquitin ligase (E3) the most diversified component of this system. APIP6 (AvrPiz-t interacting protein 6) one E3s rice, involved recognition AvrPiz-t, effector from pathogen Magnaporthe oryzae , for initiation host defense against M. . However, structural detail how performs its function remains elusive....