In this paper, we continue the study of the domination game in graphs introduced by Bre{v{s}}ar, Klav{v{z}}ar, and Rall. We study the paired-domination version of the domination game which adds a matching dimension to the game. This game is played on a graph $G$ by two players, named Dominator and Pairer. They alternately take turns choosing vertices of $G$ such that each vertex chosen by Domin...

we evaluated the clinical experience of 120 women with early stage cervical cancer who underwent radical hysterectomy combined with pelvic lymphadenectomy (class iii rutledge) in our gynecologic oncology clinic. of these, 74 patient. (61.66%) were in stage i and 46 patients (38.34%) were in stage ii a. intraoperation complications comprised of great vessel injuries encountered in 4 (3.3%) patie...

Background an objective: Several studies have indicated that vertex type androgenetic alopecia have a higher-than-normal risk for coronary heart disease but few studies focused on lipid profiles which are important in the pathogenesis of coronary heart disease. This study was designed to investigate the relation between vertex type androgenetic alopecia (Grade III and higher according to ...

The revised edge-Szeged index of a connected graph $G$ is defined as Sze*(G)=∑e=uv∊E(G)( (mu(e|G)+(m0(e|G)/2)(mv(e|G)+(m0(e|G)/2) ), where mu(e|G), mv(e|G) and m0(e|G) are, respectively, the number of edges of G lying closer to vertex u than to vertex v, the number of ed...

The linear viscoelastic behavior of thermoplastic hybrid inorganic-organic polymers synthesized through radical copolymerization of styrene and styryl-based polyhedral oligosilsesquioxane (POSS), R7(Si8O12) (C6H4CHdCH2), with R ) isobutyl (iBu), cyclopentyl (Cp), and cyclohexyl (Cy), was studied to reveal a significant influence of the vertex group, R. The glass transition temperatures were fou...

in this paper we characterize the radical of an arbitrary‎ ‎submodule $n$ of a finitely generated free module $f$ over a‎ ‎commutatitve ring $r$ with identity‎. ‎also we study submodules of‎ ‎$f$ which satisfy the radical formula‎. ‎finally we derive‎ ‎necessary and sufficient conditions for $r$ to be a‎ ‎pr$ddot{mbox{u}}$fer domain‎, ‎in terms of the radical of a‎ ‎cyclic submodule in $rbigopl...

a emph{signed graph} (or, in short, emph{sigraph}) $s=(s^u,sigma)$ consists of an underlying graph $s^u :=g=(v,e)$ and a function $sigma:e(s^u)longrightarrow {+,-}$, called the signature of $s$. a emph{marking} of $s$ is a function $mu:v(s)longrightarrow {+,-}$. the emph{canonical marking} of a signed graph $s$, denoted $mu_sigma$, is given as $$mu_sigma(v) := prod_{vwin e(s)}sigma(vw).$$the li...