On cubic 2-independent Hamiltonian connected graphs

A graph G=(V,E) is Hamiltonian connected if there exists a Hamiltonian path between any two vertices in G. Let P ₁=(u ₁,u ₂,…,u _|V|) and P ₂=(v ₁,v ₂,…,v _|V|) be any two Hamiltonian paths of G. We say that P ₁ and P ₂ are independent if u ₁=v ₁,u _|V|=v _|V|, and u _i ≠v _i for 1<i<|V|. A cubic graph G is 2-independent Hamiltonian connected if there are two independent Hamiltonian paths between any two different vertices of G. A graph G is 1-Hamiltonian if G−F is Hamiltonian for any F⊆V∪E with |F|=1. A graph G is super 3^*-connected if there exist i internal disjoint paths spanning G for i=1,2,3. It is proved that every super 3^*-connected graph is 1-Hamiltonian. In this paper, we prove that every cubic 2-independent Hamiltonian connected graph is also 1-Hamiltonian. We present some cubic 2-independent Hamiltonian connected graphs that are super 3^*-connected, some cubic 2-independent Hamiltonian connected graphs that are not super 3^*-connected, some super 3^*-connected graphs that are not 2-independent Hamiltonian connected, and some cubic 1-Hamiltonian graphs that are Hamiltonian connected but neither 2-independent Hamiltonian connected nor super 3^*-connected. Dedicated to Professor Frank K. Hwang on the occasion of his 65th birthday. This work was supported in part by the National Science Council of the Republic of China under Contract NSC 94-2213-E-233-011.     

Internationalization and performance: The moderating effects of organizational learning

By proposing a conceptual outline for a general model that explains the internationalization–performance link, we test the moderating effects of organizational learning on the relationship between internationalization and performance empirically. Integrating two distinct literature streams from the organizational learning perspective and the resource-based view, we present an integrated, multidimensional framework for analyzing multinational enterprises’ (MNEs’) resources, internationalization, and organizational learning, as well as their associated impact on firm performance. Specifically, using a sample of 110 American MNEs, we find that while certain MNE resources motivate and precede internationalization, social and market learning (whereas technological learning does not) moderates the relationship between internationalization and performance. These findings extend prior research by establishing the importance of the relationships among MNE resources, internationalization, organizational learning, and firm performance.     

A note on fault-free mutually independent Hamiltonian cycles in hypercubes with faulty edges

In the paper “Fault-free Mutually Independent Hamiltonian Cycles in Hypercubes with Faulty Edges” (J. Comb. Optim. 13:153–162, 2007), the authors claimed that an n-dimensional hypercube can be embedded with (n−1−f)-mutually independent Hamiltonian cycles when f≤n−2 faulty edges may occur accidentally. However, there are two mistakes in their proof. In this paper, we give examples to explain why the proof is deficient. Then we present a correct proof. This work was supported in part by the National Science Council of the Republic of China under Contract NSC 95-2221-E-233-002.     

Alleviating poverty or reinforcing inequality? Interpreting micro‐finance in practice,with illustrations from rural China

Academic and political discussions about micro‐finance have been found lacking in predictive power, because they are based on orthodox economic theory, which does not properly comprehend the social components of credit. I take a better approach, utilizing credit theory – specifically, Ingham's explication of how the nature of money as credit leads to social inequality. I also expound the perspective that morality is not separate from considerations borrowers make in micro‐finance programmes on the micro level. I draw upon illustrations from my fieldwork in rural China, where a group‐lending micro‐finance programme was administered as part of a larger government‐initiated effort across the country.     

The distribution of the ratio of independent central wishart determinants

Ratios of independent central Wishart determinants are useful statistics in multivariate analyses, particularly in the study of multivariate linear models. A method based on the inversion of characteristic functions is outlined for deriving new experessions for the probability distribution functions of the logarithms of these statistics. Accurate tables of the percentiles of these distributions have been obtained covering many bivariate and trivariate cases which have been computed by approximating these expression.     

Bayesian single-arm phase II trial designs with time-to-event endpoints

For the cancer clinical trials with immunotherapy and molecularly targeted therapy, time-to-event endpoint is often a desired endpoint. In this paper, we present an event-driven approach for Bayesian one-stage and two-stage single-arm phase II trial designs. Two versions of Bayesian one-stage designs were proposed with executable algorithms and meanwhile, we also develop theoretical relationships between the frequentist and Bayesian designs. These findings help investigators who want to design a trial using Bayesian approach have an explicit understanding of how the frequentist properties can be achieved. Moreover, the proposed Bayesian designs using the exact posterior distributions accommodate the single-arm phase II trials with small sample sizes. We also proposed an optimal two-stage approach, which can be regarded as an extension of Simon's two-stage design with the time-to-event endpoint. Comprehensive simulations were conducted to explore the frequentist properties of the proposed Bayesian designs and an R package BayesDesign can be assessed via R CRAN for convenient use of the proposed methods.     

Multi-objective machine-component grouping in cellular manufacturing: A genetic algorithm

The cellular manufacturing system (CMS) is an important group technology (GT) application. The first step of CMS design is cell formation, generally known as machinecell formation (MCF) or machine-component (MCG). A genetic algorithm (GA) is a robust adaptive optimization method based on principles of natural evolution and is appropriate for the MCG problem, which is an NP complete complex problem. In this study, we propose a GA-based procedure to solve the MCG problem. More specifically, this study aims to minimize (1) total cost, which includes intercell and intracell part transportation costs and machines investment cots; (2) intracell machine loading imbalance; and (3) intercell machine loading imbalance under many realistic considerations. An illustrative example and comparisons demonstrate the effectiveness of this procedure. The proposed procedure is extremely adaptive, flexible, efficient and can be used to solve real MCG problems in factories by providing robust manufacturing cell formation in a short execution time.     

NIMBY opposition and solid waste incinerator siting in democratizing Taiwan

To address Taiwan's waste crisis, the Taiwanese government has embraced incinerators as a major policy instrument for waste disposal. Although the adoption of waste burning policy was not debated much, the siting of incinerators has been vigorously opposed by community-based protest movements, emerged with Taiwan's transition to democracy. In response, both the Kuomintang (KMT) government and the Democratic Progressive Party (DPP) government have used compensation to induce the acceptance of local hosting communities as in other countries. Nevertheless, the use of compensation has never been effective in resolving not-in-my-backyard (NIMBY) conflict without mobilizing local political and government support to suppress NIMBY protests in order to enforce the timely construction of needed incinerators. To accommodate the rising democratic expectation of public participation in deliberations over the incineration waste policy, this article also argues that the role of citizen participation must be addressed to increase public support for incinerator option in managing Taiwan's waste.     

Adjusted Supremum Score‐Type Statistics for Evaluating Non‐Standard Hypotheses

Supremum score test statistics are often used to evaluate hypotheses with unidentifiable nuisance parameters under the null hypothesis. Although these statistics provide an attractive framework to address non‐identifiability under the null hypothesis, little attention has been paid to their distributional properties in small to moderate sample size settings. In situations where there are identifiable nuisance parameters under the null hypothesis, these statistics may behave erratically in realistic samples as a result of a non‐negligible bias induced by substituting these nuisance parameters by their estimates under the null hypothesis. In this paper, we propose an adjustment to the supremum score statistics by subtracting the expected bias from the score processes and show that this adjustment does not alter the limiting null distribution of the supremum score statistics. Using a simple example from the class of zero‐inflated regression models for count data, we show empirically and theoretically that the adjusted tests are superior in terms of size and power. The practical utility of this methodology is illustrated using count data in HIV research.