let $g$ be a non-abelian finite group. in this paper, we prove that $gamma(g)$ is $k_4$-free if and only if $g cong a times p$, where $a$ is an abelian group, $p$ is a $2$-group and $g/z(g) cong mathbb{ z}_2 times mathbb{z}_2$. also, we show that $gamma(g)$ is $k_{1,3}$-free if and only if $g cong {mathbb{s}}_3,~d_8$ or $q_8$.

the armaticity of 5 methylcytosine tautomers in the gas phase has been studied and the chemical structures of related tautomers are investigated . the electronic energy, enthalpy and free energy of each tautomer are also estimated at the b3lyp/6-31 g* // b3lyp/6-31 g* and mp2 / 6-31 g* // mp2 / 6-31 g* levels

in this paper we consider a nonlinear two-phase stefan problem in one-dimensional space. the problem is mapped into a nonlinear volterra integral equation for the free boundary.

background one of the requirements of the osun state smoke-free legislation is to ensure smoke-free enclosed and partially enclosed workplaces. this survey was conducted to assess the knowledge and attitude of workers in indoor bars, beer parlors and discotheques to smoke-free legislation in general and the osun state smoke-free law in particular.   methods a convenience sampling of 36 hospital...

this research was conducted to investigate the physico-mechanical characteris-tics of the ethylcellulose-based coating membranes plasticized with different weight percents of dibutyl sebacate. in this experiment, free thin polymer sheetings of the sample formulations, by incorporating incremental weight percents of the plasticizer, were prepared employing a revised casting method of delayed sol...