2-Rainbow domination number of Cartesian products: C_{n}\square C_{3} and C_{n}\square C_{5}

A function \(f:V(G)\rightarrow \mathcal P (\{1,\ldots ,k\})\) is called a \(k\) -rainbow dominating function of \(G\) (for short \(kRDF\) of \(G)\) if \( \bigcup \nolimits _{u\in N(v)}f(u)=\{1,\ldots ,k\},\) for each vertex \( v\in V(G)\) with \(f(v)=\varnothing .\) By \(w(f)\) we mean \(\sum _{v\in V(G)}\left|f(v)\right|\) and we call it the weight of \(f\) in \(G.\) The minimum weight of a \( kRDF\) of \(G\) is called the \(k\) -rainbow domination number of \(G\) and it is denoted by \(\gamma _{rk}(G).\) We investigate the \(2\) -rainbow domination number of Cartesian products of cycles. We give the exact value of the \(2\) -rainbow domination number of \(C_{n}\square C_{3}\) and we give the estimation of this number with respect to \(C_{n}\square C_{5},\) \((n\ge 3).\) Additionally, for \(n=3,4,5,6,\) we show that \(\gamma _{r2}(C_{n}\square C_{5})=2n.\)      

“Economic Theory’s Stance On No-Fault Divorce”

This article explores key insights that economic theory can shed on the issue of no-fault divorce in the United States, addressing modifications in the incentive structure of individuals that resulted from the legislative reforms of the 1970s. After stressing the importance of correctly interpreting and classifying divorce laws, this work investigates the contributions of the theory of property rights, the contributions of game theory and intra-household bargaining, and the contributions of general equilibrium analysis in our understanding of how divorce laws work and what their impact is. By doing so, this exposé analyzes the theoretical consequences of no-fault divorce on the decision whether to get married or divorced, on the characteristics of spouses and divorcees, on divorce rates, and on marital-specific and non marital-specific investments.     

Employment transitions for clubhouse members

Using a longitudinal dataset which followed 2195 individuals employed in 3379 separate job placements over a four-year period, this paper explores movement between the employment supports, [Transitional (TE), Supported (SE), and Independent Employment (IE)], offered by clubhouses. Sixty-four percent of employed members held only one job (N=1395) and 36% held multiple jobs during the study (N=791). Patterns of movement were consistent for transitions between the first and second job and subsequent transitions. Forty-six percent of individuals holding multiple jobs moved from one employment type to another. When movement occurred clubhouse members were significantly more likely to move from employment types offering more supports to those that offer less supports.     

Impact of an infusion model on social work students' aging knowledge, attitudes, and interests

This study sought to provide data regarding the use of infusion of gerontological materials throughout curriculums to enhance students' attitudes toward older adults, their knowledge of aging-related issues, and their perceptions of gerontological social work. A quasi-experimental design was used to compare outcomes for graduate social work students who were and those who were not exposed to gerontological infusion. Results indicated that exposed students experienced a greater improvement in their view of aging-related career opportunities and in their belief in the importance of gerontological social work. Treatment group students also showed greater gains in self-rated aging knowledge. Both treatment and control group students had significant gains in a test of aging-related knowledge. Pedagogical implications are discussed.     

电影工业的文化多样性：一项跨国研究

本文作者提出了一个评估文化多样性的框架。本文得出的主要结果：（1）国家的多样性等级次序高度依赖于其所采用的文化多样性维度;（2）电影产业得到公共支持越强大的国家（法国、欧盟和韩国）,其文化多样性越高;（3）供应多样性（supplied diversity）与消费多样性（consumed diversity）紧密相联,前者始终高于后者。这一现象揭示出对供应文化多样性的支持政策似乎与消费偏向相吻合。