Roman Domination Cover Rubbling

In this thesis, we introduce Roman domination cover rubbling as an extension of domination cover rubbling. We define a parameter on a graph $G$ called the \textit{Roman domination cover rubbling number}, denoted $\rho_{R}(G)$, as the smallest number of pebbles, so that from any initial configuration of those pebbles on $G$, it is possible to obtain a configuration which is Roman dominating after some sequence of pebbling and rubbling moves. We begin by characterizing graphs $G$ having small $\rho_{R}(G)$ value. Among other things, we also obtain the Roman domination cover rubbling number for paths and give an upper bound for the Roman domination cover rubbling number of a tree

Outpost, May 31, 1972

Student newspaper of California Polytechnic State University, San Luis Obispo, CA.https://digitalcommons.calpoly.edu/studentnewspaper/2872/thumbnail.jp

The physiotherapy undergraduate curriculum : a case for professional development.

Thesis (Ph.D.) - University of KwaZulu-Natal, 2006.This study focuses on physiotherapy professional development and professional education and the multitude of theoretical, practical and political forces that shape and influence physiotherapy education. It does so by addressing the questions: how is an undergraduate physiotherapy curriculum within a historically disadvantaged university responding to post apartheid societal transformation in South Africa; and why is the curriculum responding in the way that it is within the current social, economic, political, cultural and historical context of South Africa. The study is theoretically and methodically located within critical, feminist and post-modern framings that disturb and disrupt the dominant medical model of health sciences practice. Employing narrative inquiry as the selected methodology, data was produced through multiple methods to obtain multiple perspectives and orientations. This multi-sectoral data production approach involving student physiotherapists, physiotherapy academics and practicing physiotherapists included in-depth focus group interviews, individual interviews, life-history biographies and open-ended questionnaires. The data is analysed firstly separately for each group of research participants - physiotherapy students, practitioners and academics, and then followed by a cross-sector analysis. The analysis illustrated current disciplinary trends and shortcomings of the physiotherapy undergraduate curriculum, whilst highlighting that which is considered valuable and progressive in physiotherapy and health care. The dominant themes that emerged included issues relating to physiotherapy theory and practice, and issues that influenced the construction of relationships in the curriculum. The main thesis presented is that for physiotherapy in the South African context, the notion of caring is identified as the link between transformation and professional development. The model proposed is: A Caring-Transformative Physiotherapy Practitioner Model for physiotherapy professional development advancing a view of what it could mean to be an agent of transformation in South Africa within the health care system. This model is located within multiple framings of caring that re-casts the physiotherapy professional previously located primarily within a medical model ideology, into a practitioner with a broadened view of practice and professional accountability within a critical-feminist framing

Domination Cover Rubbling

Let G be a connected simple graph with vertex set V and a distribution of pebbles on V. The domination cover rubbling number of G is the minimum number of pebbles, so that no matter how they are distributed, it is possible that after a sequence of pebbling and rubbling moves, the set of vertices with pebbles is a dominating set of G. We begin by characterizing the graphs having small domination cover rubbling numbers and determining the domination cover rubbling number of several common graph families. We then give a bound for the domination cover rubbling number of trees and characterize the extremal trees. Finally, we give bounds for the domination cover rubbling number of graphs in terms of their domination number and characterize a family of the graphs attaining this bound

Total Domination Cover Rubbling

Let G be a connected simple graph with vertex set V and a distribution of pebbles on the vertices of V. The total domination cover rubbling number of G is the minimum number of pebbles, so that no matter how they are distributed, it is possible that after a sequence of pebbling and rubbling moves, the set of vertices with pebbles is a total dominating set of G. We investigate total domination cover rubbling in graphs and determine bounds on the total domination cover rubbling number