Let G = (V,E) be a locally finite graph, i.e. a graph in which every vertex has finitely many adjacent vertices. In this paper, we associate a topology to G, called graphic topology of G and we show that it is an Alexandroff topology, i.e. a topology in which intersec- tion of every family of open sets is open. Then we investigate some properties of this topology. Our motivation is to give an e...

in this paper, we introduce the concepts of right, left and product stabilizers on hoops and study some properties and the relation between them.  and we try to find that how they can be equal and investigate that under what condition they can be filter, implicative filter, fantastic and positive implicative filter. also, we prove that  right and product stabilizers are filters and if they are ...

We consider a non-monotone activation process $(X_t)_{t\in\{ 0,1,2,\ldots\}}$ on graph $G$, where $X_0\subseteq V(G)$, $X_t=\{ u\in V(G):|N_G(u)\cap X_{t-1}|\geq \tau(u)\}$ for every positive integer $t$, and $\tau:V(G)\to \mathbb{Z}$ is threshold function. The set $X_0$ so-called target $(G,\tau)$ if there some $t_0$ such that $X_t=V(G)$ $t\geq t_0$. Ben-Zwi, Hermelin, Lokshtanov, Newman [Disc...

The hydrogen abstraction reaction by OH radical from CH2BrCH2Br (R1) and CH₃CHBr2 (R2) is investigated theoretically by semi-classical transition state theory. The stationary points for both reactions are located by using ωB97X-D and KMLYP density functional methods along with cc-pVTZ basis. Single-point energy calculations are performed at the QCISD(T) and CCSD(T) levels of theory with differe...

Given a compact metric space $X$, we associate to it an inverse sequence of finite $T_0$ topological spaces. The limit this contains homeomorphic copy $X$ that is strong deformation retract. We provide method approximate the homology groups and other algebraic invariants. Finally, study computational aspects implementation method.

In this paper, we study the separtion axioms $T_0,T_1,T_2$ and $T_{5/2}$ on topological and semitopological residuated lattices and we show that they are equivalent on topological residuated lattices. Then we prove that for every infinite cardinal number $alpha$, there exists at least one nontrivial Hausdorff topological residuated lattice of cardinality $alpha$. In the follows, we obtain some ...

in this paper we investigate generalized topologies generated by a subbase ofpreorder relators and consider its application in the concept of the complement. we introducethe notion of principal generalized topologies obtained from the new type of open sets andstudy some of their important properties.

We report on a sub-percent scale determination using the omega baryon mass and gradient-flow methods. The calculations are performed 22 ensembles of $N_f=2+1+1$ highly improved, rooted staggered sea-quark configurations generated by MILC CalLat Collaborations. valence quark action used is M\"obius Domain-Wall fermions solved these after smearing applied with flowtime $t_{\rm gf}=1$ in lattice u...