Is there any polynomial upper bound for the universal labeling of graphs?

A universal labeling of a graph G is a labeling of the edge set in G such that in every orientation \(\ell \) of G for every two adjacent vertices v and u, the sum of incoming edges of v and u in the oriented graph are different from each other. The universal labeling number of a graph G is the minimum number k such that G has universal labeling from \(\{1,2,\ldots , k\}\) denoted it by \(\overrightarrow{\chi _{u}}(G) \). We have \(2\Delta (G)-2 \le \overrightarrow{\chi _{u}} (G)\le 2^{\Delta (G)}\), where \(\Delta (G)\) denotes the maximum degree of G. In this work, we offer a provocative question that is: “Is there any polynomial function f such that for every graph G, \(\overrightarrow{\chi _{u}} (G)\le f(\Delta (G))\)?”. Towards this question, we introduce some lower and upper bounds on their parameter of interest. Also, we prove that for every tree T, \(\overrightarrow{\chi _{u}}(T)={\mathcal {O}}(\Delta ^3) \). Next, we show that for a given 3-regular graph G, the universal labeling number of G is 4 if and only if G belongs to Class 1. Therefore, for a given 3-regular graph G, it is an \( {{\mathbf {N}}}{{\mathbf {P}}} \)-complete to determine whether the universal labeling number of G is 4. Finally, using probabilistic methods, we almost confirm a weaker version of the problem.     

Age and total and free prostate-specific antigen levels for predicting prostate volume in patients with benign prostatic hyperplasia

Objectives: To investigate the predictive values of free prostate-specific antigen (fPSA), total PSA (tPSA) and age on the prostate volume.

Methods: The data of 2148 patients with lower urinary tract symptoms were analyzed retrospectively. The patients who had transrectal ultrasonography guided 10 core biopsies owing to the findings obtained on digital rectal examination and presence of high PSA levels (PSA?=?2.5–10?ng/dl), and proven to have BPH histopathologically were included in the study. Age, tPSA, fPSA and the prostate volumes (PV) of the patients were noted.

Results: One thousand patients that fulfilled the inclusion criteria were included in the study. The PV of the patients were significantly correlated with age, tPSA and fPSA (p?r?=?0.307, p?r?=?0.382, p?r?=?0.296, respectively). On linear regression model, fPSA was found as a stronger predictive for PV (AUC?=?0.75, p?p?p?=?0.013).

Conclusions: Although tPSA is an important prognostic factor for predicting PV, the predictive value of fPSA is higher. PV can easily be predicted by using age, and serum tPSA and fPSA levels.     

NPO,Internal Controls,and Supervision Mechanisms in a Developing Country

The premise of this paper is that effective supervision and proper internal control system (ICS) can promote accountability and transparency, and this will attract more donors. However, in a developing country like Malaysia, it is common that proper accounting standards are not available, the laws are not enforced, and charities often struggle for survival. Debates on regulating nonprofit organizations (NPOs) have been sensitive to many and are often left unresolved, and some quarters believe that NPOs should be left to handle their own affairs. This paper provides evidence from a survey of 60 charities on the status of their ICS. It briefly describes the current state of regulations in Malaysia and makes a case for better monitoring of the sector, as this might be the reason NPOs are lacking in their ICS. We propose what type of regulation and assistance can be provided by the authorities to this sector, not only in Malaysia but also in other developing countries facing similar challenges.     

International Transfer of Policies and Practices of Gender Equality in Employment to and among Muslim Majority Countries

This article investigates the premise that it is possible to transpose organizational approaches to equal employment opportunity (EEO) from western countries to Muslim majority countries (MMCs). Drawing on policy interviews and documentary evidence from public sector organizations and international development agencies engaged in the promotion of gender equality in Turkey and Pakistan, we question the effectiveness of diffusion of gender equality policies and practices to and among these two MMCs. Our investigation reveals the primacy of context over essence in developing effective ways to construct EEO policies and practices which can be adopted in MMCs.     

我国职业技术培训现状及对策研究

我国近年来出现了"用工荒"和大学生"就业难"并存的问题,该问题的解决需要从劳动力的"质"上去突破,要通过职业技术培训来改善我国的人才结构。但是我国目前的"学校-企业-培训机构"三位一体的职业技术培训体系还存在诸多不足,文章将从主体资格、培养方式两个方面提出解决对策。     

中国与东盟国家双向投资关系分析及对策研究

东南亚国家与中国山水相连,文化习俗相近,双方商业合作和友好往来历史悠久,随着中国与东盟经济的快速发展以及自贸区的启动,双方合作空间进一步拓展,发展前景将更加广阔。投资合作是中国—东盟经贸合作的强大推动力,这得益于中国—东盟自由贸易区《投资协议》开始实施,双方开放投资市场,改善投资环境,降低贸易壁垒,为双方企业创造更多投资机会。     

A robust estimation method for the linear regression model parameters with correlated error terms and outliers

Independence of error terms in a linear regression model, often not established. So a linear regression model with correlated error terms appears in many applications. According to the earlier studies, this kind of error terms, basically can affect the robustness of the linear regression model analysis. It is also shown that the robustness of the parameters estimators of a linear regression model can stay using the M-estimator. But considering that, it acquires this feature as the result of establishment of its efficiency. Whereas, it has been shown that the minimum Matusita distance estimators, has both features robustness and efficiency at the same time. On the other hand, because the Cochrane and Orcutt adjusted least squares estimators are not affected by the dependence of the error terms, so they are efficient estimators. Here we are using of a non-parametric kernel density estimation method, to give a new method of obtaining the minimum Matusita distance estimators for the linear regression model with correlated error terms in the presence of outliers. Also, simulation and real data study both are done for the introduced estimation method. In each case, the proposed method represents lower biases and mean squared errors than the other two methods.KEYWORDS: Robust estimation method, minimum Matusita distance estimation method, non-parametric kernel density estimation method, correlated error terms, outliers     

Goodness-of-fit test using residuals in infinite-order autoregressive models

In this paper we study the asymptotic behavior of the Bickel–Rosenblatt test in infinite-order autoregressive models. Under some mild conditions, the test statistic based on residuals is shown to have the same limiting distribution as that based on true iid errors. It is also proved that this result remains the same when the nuisance parameters in the model are to be estimated, which means that the Bickel–Rosenblatt test is easily applicable in composite hypothesis goodness-of-fit testing unlike the Kolmogorov–Smirnov type tests. The result of a simulation study is supplemented to verify the result of this paper.     

Selective Maintenance in System Reliability with Random Costs of Repairing and Replacing the Components

In this paper we consider the problem of determining the optimum number of repairable and replaceable components to maximize a system's reliability when both, the cost of repairing the components and the cost of replacement of components by new ones, are random. We formulate it as a problem of non-linear stochastic programming. The solution is obtained through Chance Constrained programming. We also consider the problem of finding the optimal maintenance cost for a given reliability requirement of the system. The solution is then obtained by using Modified E-model. A numerical example is solved for both the formulations.     

《伊芙琳》片段的语篇功能分析

《伊芙琳》是詹姆斯·乔伊斯的一篇短篇小说,它短小精悍,却高度浓缩了多重深刻的主题思想。本文拟将通过对这篇短篇小说中的一小段文字进行语篇连贯分析来揭示着深刻的主题思想。