Total and forcing total edge-to-vertex monophonic number of a graph

For a connected graph \(G = \left( V,E\right) \), a set \(S\subseteq E(G)\) is called a total edge-to-vertex monophonic set of a connected graph G if the subgraph induced by S has no isolated edges. The total edge-to-vertex monophonic number \(m_{tev}(G)\) of G is the minimum cardinality of its total edge-to-vertex monophonic set of G. The total edge-to-vertex monophonic number of certain classes of graphs is determined and some of its general properties are studied. Connected graphs of size \(q \ge 3 \) with total edge-to-vertex monophonic number q is characterized. It is shown that for positive integers \(r_{m},d_{m}\) and \(l\ge 4\) with \(r_{m}< d_{m} \le 2 r_{m}\), there exists a connected graph G with \(\textit{rad}_ {m} G = r_{m}\), \(\textit{diam}_ {m} G = d_{m}\) and \(m_{tev}(G) = l\) and also shown that for every integers a and b with \(2 \le a \le b\), there exists a connected graph G such that \( m_{ev}\left( G\right) = b\) and \(m_{tev}(G) = a + b\). A forcing subset for S of minimum cardinality is a minimum forcing subset of S. The forcing total edge-to-vertex monophonic number of S, denoted by \(f_{tev}(S)\) is the cardinality of a minimum forcing subset of S. The forcing total edge-to-vertex monophonic number of G, denoted by \(f_{tev}(G) = \textit{min}\{f_{tev}(S)\}\), where the minimum is taken over all total edge-to-vertex monophonic set S in G. The forcing total edge-to-vertex monophonic number of certain classes of graphs are determined and some of its general properties are studied. It is shown that for every integers a and b with \(0 \le a \le b\) and \(b \ge 2\), there exists a connected graph G such that \(f_{tev}(G) = a\) and \( m _{tev}(G) = b\), where \( f _{tev}(G)\) is the forcing total edge-to-vertex monophonic number of G.     

Orphanhood and School Attendance in Nigeria: Do Gender and Household Income Matter?

Using the 2010 Nigeria Education Data Survey, this research examines the interaction of paternal and maternal/double orphanhood with gender and household income on school attendance; we ascertain whether the relationship varies by age and urban-rural residence. The research employs an economic explanation and the sociocultural construction of the gender division of labor in sub-Saharan Africa as theoretical frameworks. Findings show that the combination of being a maternal/double orphan and being female or living in a poor household leads to the lowest probability of attending school. The results also indicate that female maternal/double orphans who live in rural areas and whose age is eleven or older have the lowest probability of attending school. Both results are statistically significant. The findings support the economic explanation and the theory of sociocultural construction of the gender division of labor. Future policies should focus on subsidizing the costs of schooling for orphans.     

The Effects of Briefly Interrupting Marital Conflict

This study examined couples’ (N = 94) behavior resulting from two proximal change interventions. One was a spousal “compliments intervention” to increase positivity, and the other was a “criticize intervention” to increase negativity. Participants were randomly assigned to one of the two intervention conditions or a control group. There was no main effect in affect from the pretest conflict discussion to the posttest conflict discussion between the interventions or control group. However, a manipulation check on how couples acted during either intervention produced a significant interaction effect. Pretest affect during conflict and marital satisfaction significantly predicted couples’ construal of the intervention. Professionals may need to monitor how couples use specific interventions and direct the processes how the intervention is construed by the couple.     

Class participation as a pedagogical tool in social work education

Class participation is an essential part of the social work pedagogy. However, active student engagement in classes is inconsistent and varies based on factors such as social backgrounds, educational background, and individual characteristics. Instructors often evaluate participation based on frequency of verbal contributions. Evaluation criteria are often unarticulated or difficult to measure, presenting numerous challenges for instructors and students alike. A model of reflective self-assessment of participation by students, paired with timely instructor feedback is put forth in this paper to mitigate these concerns. The steps in this model include initial self-assessment, goal setting, midterm review, and a final review. The process of continuous self-evaluation and problem-solving is discussed as strategies that aid the process of class participation. Three instructor touch points are suggested: at the goal-setting stage, the midterm review, and the final grade. Throughout the paper, connections to social work practice and social work pedagogy are highlighted. This model has yet to be implemented in a social work school’s curriculum. Challenges in the implementation and resolution of those challenges are also presented. This model suggests ways to enhance opportunities for student engagement and integration into graduate programs, in addition to fostering valuable skills for future practice in the field.     

Transcultural tension and the politics of sewage management in (post) colonial Lagos

ABSTRACT

The culture of sewage management in Lagos dates back to pit latrines (Shalanga) in precolonial Lagos; this culture gave way to bucket latrines in the wake of British colonial administration in Lagos and then to mobile toilets in postcolonial Lagos. The introduction of bucket latrines created a new job category known as Agbepo (night-soil men) and a new material practice in the management of faecal waste among ethnicities and races inhabiting the urban space of Lagos. This material practice, I argue, created ethnic tensions and reveals the extent to which varying perceptions of sewage management determine how people perceive and relate with one another in Lagos. To validate my argument, my paper proceeds from the vantage point of the phenomenology of disgust, drawing on Chinua Achebe’s No Longer at Ease, archival materials, and selected live interviews to examine how varying perceptions of sewage management play out in the construction of relationships in Lagos.     

Stakeholder Perspectives on Children's Mental Health Needs and Supports in Six Low‐ and Middle‐Income Countries

Low‐ and middle‐income countries (LMIC) are faced with disproportionately high levels of unmet child mental health needs. This study explored through interviews the perspectives of 17 inter‐agency service stakeholders from Brazil, Indonesia, Kenya, Pakistan, Rwanda and Turkey on existing supports and challenges. Four themes emerged on the holistic nature of children's mental health needs linked with disadvantage; limited resources and skilled workforce; stigma; and strategies for future implementation, including awareness, parental engagement, skills‐based programmes and cultural adaptation. Stakeholder input is essential in conceptualising, developing and evaluating culturally appropriate interventions for vulnerable children in LMIC.     

Contrasting perspectives of parents and service providers on respite care in Queensland,Australia

Abstract

Parent-carers need support to continue to care for their child with significant disability in their home. There has, however, been little evidence that respite interventions have consistent or enduring beneficial effects on carer well-being. This article reports the findings of a qualitative study which adopted an Appreciative Inquiry philosophy to interview parent-carers of children with significant intellectual and/or developmental disabilities on how formal support services have helped them maintain their health and well-being, and disability support staff on how they help such parent-carers foster their health and well-being. We conclude that better communication and collaboration between service providers and users, more targeted training of workers, and embracing a person-centred and family-centred approach to respite services are needed. In addition, clearer definition and communication of the scope of respite services are required to best support families of children with significant disability in their home.     

Child support and non-resident fathers’ contact with their children

The paper presents a model of a non-resident father’s child support and contact with his child, which combines the public good treatment of “child quality” with “trade” in father–child contact time in a setting of non-cooperative interaction. It predicts that father’s income and mother’s non-labour income should have exactly the same effect on the frequency of father–child contact if he chooses to make lump sum payments to the mother. If he does not or there is a binding child support payment order, they have effects opposite in direction. A higher binding support order reduces father–child contact but may well raise “child quality”.