Objective functions with redundant domains

Let $(E,{ \mathcal{A}})$ be a set system consisting of a finite collection ${ \mathcal{A}}$ of subsets of a ground set E, and suppose that we have a function ? which maps ${ \mathcal{A}}$ into some set S. Now removing a subset K from E gives a restriction ${ \mathcal{A}}(\bar{K})$ to those sets of ${ \mathcal{A}}$ disjoint from K, and we have a corresponding restriction $\phi|_{\hspace {.02in}{ \mathcal{A}}(\bar{K})}$ of our function ?. If the removal of K does not affect the image set of ?, that is $\mbox {Im}(\phi|_{\hspace {.02in}{ \mathcal{A}}(\bar{X})})=\mbox {Im}(\phi)$ , then we will say that K is a kernel set of ${ \mathcal{A}}$ with respect to ?. Such sets are potentially useful in optimisation problems defined in terms of ?. We will call the set of all subsets of E that are kernel sets with respect to ? a kernel system and denote it by $\mathrm {Ker}_{\phi}({ \mathcal{A}})$ . Motivated by the optimisation theme, we ask which kernel systems are matroids. For instance, if ${ \mathcal{A}}$ is the collection of forests in a graph G with coloured edges and ? counts how many edges of each colour occurs in a forest then $\mathrm {Ker}_{\phi}({ \mathcal{A}})$ is isomorphic to the disjoint sum of the cocycle matroids of the differently coloured subgraphs; on the other hand, if ${ \mathcal{A}}$ is the power set of a set of positive integers, and ? is the function which takes the values 1 and 0 on subsets according to whether they are sum-free or not, then we show that $\mathrm {Ker}_{\phi}({ \mathcal{A}})$ is essentially never a matroid.     

Parenting a child with a disability: An examination of resident and non-resident fathers

Children with disabilities often require, more extensive family involvement and greater paternal support than other children. Yet these children are the children least likely to live with their fathers. This paper uses data from the National Longitudinal Survey of Youth 1997 from the United States to examine the association between child disability and resident and non-resident biological fathers’ supportiveness, relationship, and monitoring of their children. Regression analyses indicate significant challenges for all fathers of children with disabilities. Children of resident fathers report more positive interactions than children of non-resident fathers. However, earlier co-residence and more frequent contact significantly improve the quality, of father-youth relationships among men who do not live with their children.     

The Sociology of Women's Abortion Experiences: Recent Research and Future Directions

Abortion is a common and essential reproductive healthcare procedure experienced by approximately one third of women at some time in their life. Abortion is also commonly politicised and presented in public discourse as inherently contentious or controversial. However, recent sociological research on women's experiences of abortion is relatively thin on the ground. The body of qualitative research on abortion experiences, which does exist, varies in scope and focus on a relatively limited range of themes. Building on an earlier review of qualitative research on women's abortion experiences, this paper explores the recent literature and identifies three key thematic areas: the context of abortion; reasons and decision‐making; and abortion stigma. It then goes on to identify gaps in the literature, to explore what shape a sociology of women's abortion experiences might take and to suggest future directions for sociological research.     

The Psychological and Health Consequences of Caring for a Spouse With Dementia: A Critical Comparison of Husbands and Wives

Caring for someone with dementia can be demanding, particularly for spouses living with the care recipient. The main goal of this study was to clarify differences in the experience of caregivers who were husbands and wives with respect to burden, health, healthy behaviors, presence of difficult care recipient behaviors, social supports, and the quality of the premorbid relationship. The results of this study support research demonstrating a difference between the caregiving experiences of women and men. It is becoming increasingly apparent that female gender is a marker that places them at increased risk of high burden and less support.     

Social class,occupational status,occupational self-direction,and job income: A cross-national examination

This paper evaluates the relationships of social class position, occupational status, and occupational self-direction to job income in three modern industrial societies, the United States, Japan, and Poland. In doing so, it goes beyond Wright and Perrone's analysis of 1977, which sought to establish the importance of social class by comparing the relative power with which occupational status and social class, defined in terms of relationship to the means of production, predict income. In carrying out analyses, we have also had to face the basic sociological issue of the nature and measurement of occupational status and have adopted a confirmatory factor analytic approach to the problem. Our substantive findings show that social class position has its strongest effect on income in Poland, and occupational self-direction also has an uniquely strong effect there. The singular importance of occupational status in Japan is noted and contrasted with the United States, where occupational status, social class, and education all have significant independent effects on job income.     

Graph theory and computer aided facilities design

Four variations of an algorithm based upon graph theory are developed for solving the facilities design problem. The facilities design problem involves locating economic activities, each of which requires a given amount of space, on a floor within a building in such a manner to optimize an appropriate measure of effectiveness such as, for example, the total cost of materials handling. This problem has been called the location-allocation problem in some of the earlier management science literature. The algorithm uses strings to represent the graphs in order to be able to handle the computing more effectively. The algorithm is illustrated throughout the article by an example. Experience with both FORTRAN and PL/1 is reported. The topic is likely to be of interest to facilities designers, graph theoreticians and computer scientists.     

TRAUMA TRAINING AND THE REPARATIVE WORK OF JOURNALISM

This article examines discourses of trauma and affective labor in the emergence of trauma training in US journalism. In a body of training texts and films used in US journalism schools, crime and disaster journalism are being refigured as affective encounters between reporters and victims; in the process, training builds a language of trauma that describes and models the news making process as potentially reparative: as an epistemological meeting point between existing knowledge of social traumas and a training apparatus that enables constructs of trauma to do the cultural production of news differently. Rather than treat the emergence of trauma training initiatives as further evidence of the hegemony of therapeutic politics, I draw from Eve Kosofsky Sedgwick's calls for reparative critique, in which transformations in the process of news production may reveal the work of affective labor and its emotional intensities as key, but often unacknowledged, features of cultural production. Analysis of training films and manuals in these curricula, on the one hand, shows their attachments to a medical discourse of trauma that borrows language and constructs from the trauma science literature, replicating forms of referentiality between wounded bodies and traumatized psyches. However, their translation into representational practices and modes of conduct for reporters – as witnesses to others' testimonies – also pose ways of understanding the burdens and affective responsibilities professions like journalism increasingly bear for displaying and interpreting social change and political upheaval.     

Teaching Note—Integrating Prevention Content Into Clinical Social Work Practice Courses

Rapid changes in health care services and delivery suggest an upcoming paradigm shift in the field of mental health. Recent national reports, health care policy changes, and growing evidence support a shift toward prevention-focused mental health care. The social work profession is uniquely positioned to act as leaders in this shift as the profession’s values, goals, and hallmark practice approach are consistent with preventive care. Most social work students, however, do not receive training in prevention practice. The author’s development, implementation, and evaluation of a prevention-focused master of social work elective in the area of mental health is presented as an example of integrating prevention content into clinical social work practice courses. Implications for social work education are discussed.     

Professional and Pathological Gamblers: Similarities and Differences

Although much recent research has focused on the gambling practices and psychosocial functioning of pathological gamblers, few investigations have examined the characteristics of professional gamblers. The current project sought to address this gap in the literature by conducting a quantitative comparison of professional and pathological gamblers. Pathological gamblers were recruited and balanced with professional gamblers on demographic variables and preferred gambling activity. A total of 22 professional gamblers and 13 pathological gamblers completed an extensive self-report battery including instruments assessing demographics, gambling behaviors and problems, other psychiatric disorders, current psychosocial functioning, recent stressful events, personality characteristics, and intelligence. Pathological and professional gamblers reported similar rates of gambling frequency and intensity and types of games played. Pathological gamblers endorsed poor psychosocial functioning, whereas professional gamblers reported a rate of psychiatric distress within a normative range. Pathological gamblers also reported lower gambling self-efficacy, greater impulsivity, and more past-year DSM-IV Axis I disorders than professional gamblers. The results of the present study shed light on the unique circumstances of professional gamblers, as well as underscore important differences between such individuals and pathological gamblers that could prove fruitful in future research and intervention and prevention efforts.