Search Results - "Burger, A.P."

On minimum secure dominating sets of graphs.

Authors: Burger, A.P. de Villiers, A.P. van Vuuren, J.H.

Source: QM - Quaestiones Mathematicae. Mar2016, Vol. 39 Issue 2, p189-202. 14p.

The mixed irredundant Ramsey numbers t (3, 7) = 18 and t (3, 8) = 22.

Authors: Burger, A.P. Hattingh, J.H. van Vuuren, J.H.

Source: QM - Quaestiones Mathematicae. Dec2014, Vol. 37 Issue 4, p571-589. 19p.

A linear algorithm for secure domination in trees.

Authors: Burger, A.P. de Villiers, A.P. van Vuuren, J.H.

Source: Discrete Applied Mathematics. Jul2014, Vol. 171, p15-27. 13p.

Subjects: Linear statistical models, Dominating set, Set theory, Graph theory, Algorithms

An asymptotic analysis of the evolutionary spatial prisoner’s dilemma on a path

Authors: Burger, A.P. van der Merwe, M. van Vuuren, J.H.

Source: Discrete Applied Mathematics. Oct2012, Vol. 160 Issue 15, p2075-2088. 14p.

Subjects: Dilemma, Mathematical models, Graph theory, Paths & cycles in graph theory, Game theory, Probability theory

An upper bound for the minimum number of queens covering the n×n chessboard

Authors: Burger, A.P. Mynhardt, C.M.

Source: Discrete Applied Mathematics. Sep2002, Vol. 121 Issue 1-3, p51. 10p.

Subjects: Dominating set, Chess problems

Edge criticality in secure graph domination.

Authors: Burger, A.P. de Villiers, A.P. van Vuuren, J.H.

Source: Discrete Optimization; Nov2015, Vol. 18, p111-122, 12p

A graph-theoretic proof of the non-existence of self-orthogonal Latin squares of order 6

Authors: Burger, A.P. Kidd, M.P. van Vuuren, J.H.

Source: Discrete Mathematics; Jul2011, Vol. 311 Issue 13, p1223-1228, 6p

Regular graphs are not universal fixers

Authors: Burger, A.P. Mynhardt, C.M.

Source: Discrete Mathematics; Jan2010, Vol. 310 Issue 2, p364-368, 5p

Balanced minimum covers of a finite set

Authors: Burger, A.P. van Vuuren, J.H.

Source: Discrete Mathematics; Oct2007, Vol. 307 Issue 22, p2853-2860, 8p

Altitude of regular graphs with girth at least five

Authors: Mynhardt, C.M. Burger, A.P. Clark, T.C. et al.

Source: Discrete Mathematics; May2005, Vol. 294 Issue 3, p241-257, 17p

An improved upper bound for queens domination numbers

Authors: Burger, A.P. Mynhardt, C.M.

Source: Discrete Mathematics; May2003, Vol. 266 Issue 1-3, p119, 13p