Let $A(G)$ and $D(G)$ be the adjacency matrix degree of $G$, respectively. For any real $\alpha \in [0,1]$, Nikiforov defined $A_{\alpha}(G)$ as \[ A_{\alpha}(G) = \alpha D(G) + (1-\alpha) A(G). \] In this paper, we generalize some previous results about $A_{1/2}$-spectral radius bicyclic graphs with a given sequence. Furthermore, characterize all extremal which have largest $A_{\alpha}$-spectr...

We present analytically the exact energy bound-states solutions of the Schrödinger equation in D-dimensions for a pseudoharmonic potential plus ring-shaped potential of the form V (r, θ) = De ( r re − re r )2 + β cos 2 θ r sin θ by means of the conventional Nikiforov-Uvarov method. We also give a clear recipe of how to obtain an explicit solution to the radial and angular parts of the wave func...

In 1970s, Gutman introduced the concept of the energy E (G) for a simple graph G, which is defined as the sum of the absolute values of the eigenvalues of G. This graph invariant has attracted much attention, and many lower and upper bounds have been established for some classes of graphs among which bipartite graphs are of particular interest. But there are only a few graphs attaining the equa...

We present analytically the exact energy bound-states solutions of the Schrödinger equation in D-dimensions for an alternative (often used) pseudoCoulomb potential-plusring-shaped potential of the form V (r) = −ar + b r + β cos θ r sin θ + c by means of the conventional Nikiforov-Uvarov method. We give a clear recipe of how to obtain an explicit solution to the radial and angular parts of the w...

Let F be a collection of r-uniform hypergraphs, and let 0 < p < 1. It is known that there exists c = c(p,F) such that the probability of a random r-graph in G(n, p) not containing an induced subgraph from F is 2(−c+o(1))( n r). Let each r-graph in F have at least t vertices. We show that in fact for every > 0, there exists δ = δ( , p,F) > 0 such that the probability of a random r-graph in G(n, ...

Two physically important potentials (Manning-Rosen and P\"oschl-Teller) are considered for the ro-vibrational energy in diatomic molecules. An improved new approximation is invoked centrifugal term, which then used their solution within Nikiforov-Uvarov framework. This employs a recently proposed scheme, combines two widely Greene-Aldrich Pekeris-type approximations. Thus, approximate analytica...

اندازه‌گیری پرتو گاما در زمینه‌های مختلف تحقیقاتی نیازمند آشکارسازهای کارآمد است. زمینه دزیمتری فوتون آشکارساز جرقه‌ای NaI(Tl) به عنوان یکی از سوسوزن معدنی (غیرآلی)، علت دارا بودن مقدار بالای نور خروجی بسیار حایز اهمیت این پژوهش سعی گردیده است، با کمک کد مونت‌کارلو (MCNPX) مقدمات مشخصه‌یابی توسط و بهره‌گیری روش‌های متفاوت محاسبه دز (تالی‌های 6F، 4*F، 6+F 8*F) انجام شود. طور معمول، یک تابش (شمار...

هدف: پژوهش حاضر با هدف شناسایی و اولویت‌بندی پیشایندها پسایندهای سبک رهبری چابک استفاده از روش دلفی فازی صورت پذیرفت.طراحی/ روش‌شناسی/ رویکرد: این نوع پژوهش‌های آمیخته رویکرد کیفی کمی در پارادایم استقرایی است که نظر هدف، کاربردی لحاظ ماهیت روش، اکتشافی است. جامعه آماری شرکت‌های دانش‌بنیان استان لرستان هستند 30 نفر خبرگان آنها بر اساس اصل کفایت نظری نمونه‌گیری هدفمند انتخاب شده‌اند. ابزار گردآور...

Abstract The analytical methods for solving Schrödinger equation are essential and effective tools with which we can investigate the spectroscopic properties, electronic structure, energetic properties of diatomic molecules (DMs). Accordingly, in this work, used Nikiforov-Uvarov (NU) method to solve three-dimensional nonrelativistic molecular Kratzer-Feus (KF) potential obtain exact bound state...