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Irredundance has been studied in the context of dominating sets, via the concept of private neighbor. Here irredundance of zero forcing sets is introduced via the concept of a private fort and the upper and lower zero forcing irrdedundance numbers $\
Externí odkaz:
http://arxiv.org/abs/2403.03921
Publikováno v:
In Applied Mathematics and Computation 15 November 2024 481
Autor:
Boshoff, Jeandré, Roux, Adriana
The localization game is played by two players: a Cop with a team of $k$ cops, and a Robber. The game is initialised by the Robber choosing a vertex $r \in V$, unknown to the Cop. Thereafter, the game proceeds turn based. At the start of each turn, t
Externí odkaz:
http://arxiv.org/abs/2007.15921
A subset $D$ of $V$ is \emph{dominating} in $G$ if every vertex of $V-D$ has at least one neighbour in $D;$ let $\gamma(G)$ be the minimum cardinality among all dominating sets in $G.$ A graph $G$ is $\gamma$-$q$-{\it critical} if the smallest subset
Externí odkaz:
http://arxiv.org/abs/2002.05389
Autor:
Roux, Adriana
Thesis (PhD)--Stellenbosch University, 2014.
ENGLISH ABSTRACT: The (classical) domination number of a graph is the cardinality of a smallest subset of its vertex set with the property that each vertex of the graph is in the subset or adjacent to
ENGLISH ABSTRACT: The (classical) domination number of a graph is the cardinality of a smallest subset of its vertex set with the property that each vertex of the graph is in the subset or adjacent to
Externí odkaz:
http://hdl.handle.net/10019.1/86266
Autor:
Boshoff, Jeandré, Roux, Adriana
Publikováno v:
In Discrete Applied Mathematics 31 December 2021 305:247-259
Autor:
Roux, Adriana
Thesis (MSc (Mathematical Sciences))--University of Stellenbosch, 2011.
Includes bibliography.
Please refer to full text to view abstract.
Includes bibliography.
Please refer to full text to view abstract.
Externí odkaz:
http://hdl.handle.net/10019.1/6874
Autor:
Roux, Adriana Aletta
As a result of the HIV/AIDS problem, South Africa is presently confronted by the worst pandemic in the history of this country. An estimated 4,2 million people in South Africa are already infected with the HI virus. The Faculty of Health Sciences at
Externí odkaz:
http://hdl.handle.net/10394/2968
Publikováno v:
Social Work/Maatskaplike Werk, Vol 54, Iss 1, Pp 91-110 (2018)
Social Work, Volume: 54, Issue: 1, Pages: 110-91, Published: 2018
Social Work, Volume: 54, Issue: 1, Pages: 110-91, Published: 2018
This research focuses on providing social workers with a deeper insight into fathers’ experience and perceptions of parent alienation in instances of high-conflict divorce. An exploratory and interpretative research design was used in this qualitat