Alewyn P. Burger

According to our database, Alewyn P. Burger authored at least 34 papers between 1997 and 2022.

Collaborative distances:

• Dijkstra number of four.
• Erdős number of two.

2022

Planar hypohamiltonian oriented graphs.

Alewyn P. Burger, Johan P. de Wet, Marietjie Frick, Nico Van Cleemput, Carol T. Zamfirescu

J. Graph Theory, 2022

2019

Hamilton cycles in sparse locally connected graphs.

Susan A. van Aardt, Alewyn P. Burger, Marietjie Frick, Carsten Thomassen, Johan P. de Wet

Discret. Appl. Math., 2019

2017

The Existence of Planar Hypotraceable Oriented Graphs.

Susan A. van Aardt, Alewyn Petrus Burger, Marietjie Frick

Discret. Math. Theor. Comput. Sci., 2017

Proper connection and size of graphs.

Susan A. van Aardt, Christoph Brause, Alewyn P. Burger, Marietjie Frick, Arnfried Kemnitz, Ingo Schiermeyer

Discret. Math., 2017

2015

Scheduling multi-colour print jobs with sequence-dependent setup times.

Alewyn P. Burger, C. G. Jacobs, Jan H. van Vuuren, Stephan Esterhuyse Visagie

J. Sched., 2015

Hypohamiltonian Oriented Graphs of All Possible Orders.

Susan A. van Aardt, Alewyn P. Burger, Marietjie Frick, Arnfried Kemnitz, Ingo Schiermeyer

Graphs Comb., 2015

Edge stability in secure graph domination.

Anton Pierre de Villiers, Alewyn Petrus Burger, Jan Harm van Vuuren

Discret. Math. Theor. Comput. Sci., 2015

Edge criticality in secure graph domination.

Alewyn P. Burger, Anton Pierre de Villiers, Jan H. van Vuuren

Discret. Optim., 2015

Destroying longest cycles in graphs and digraphs.

Susan A. van Aardt, Alewyn P. Burger, Jean E. Dunbar, Marietjie Frick, Bernardo Llano, Carsten Thomassen, Rita Zuazua

Discret. Appl. Math., 2015

2014

Infinite families of 2-hypohamiltonian/2-hypotraceable oriented graphs.

Susan A. van Aardt, Alewyn P. Burger, Marietjie Frick, Bernardo Llano, Rita Zuazua

Graphs Comb., 2014

A linear algorithm for secure domination in trees.

Alewyn P. Burger, Anton Pierre de Villiers, Jan H. van Vuuren

Discret. Appl. Math., 2014

2013

An Infinite Family of Planar Hypohamiltonian Oriented Graphs.

Susan A. van Aardt, Alewyn P. Burger, Marietjie Frick

Graphs Comb., 2013

Further results on Maximal Nontraceable graphs of smallest size.

Joy Elizabeth Singleton, Alewyn Petrus Burger

Discret. Math. Theor. Comput. Sci., 2013

An Iterative Approach to the Traceability Conjecture for Oriented Graphs.

Susan A. van Aardt, Alewyn P. Burger, Jean E. Dunbar, Marietjie Frick, John Harris, Joy Singleton

Electron. J. Comb., 2013

2012

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

Alewyn P. Burger, M. van der Merwe, Jan H. van Vuuren

Discret. Appl. Math., 2012

2011

Avoidance colourings for small nonclassical Ramsey numbers.

Alewyn P. Burger, Jan H. van Vuuren

Discret. Math. Theor. Comput. Sci., 2011

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

Alewyn P. Burger, Martin Philip Kidd, Jan H. van Vuuren

Discret. Math., 2011

2010

Regular graphs are not universal fixers.

Alewyn P. Burger, Christina M. Mynhardt

Discret. Math., 2010

Enumeration of isomorphism classes of self-orthogonal Latin squares.

Alewyn P. Burger, Martin Philip Kidd, Jan H. van Vuuren

Ars Comb., 2010

2009

On the ratios between packing and domination parameters of a graph.

Alewyn P. Burger, Michael A. Henning, Jan H. van Vuuren

Discret. Math., 2009

2008

On the (r, s) domination number of a graph.

Alewyn P. Burger, Jan H. van Vuuren

Ars Comb., 2008

2007

Balanced minimum covers of a finite set.

Alewyn P. Burger, Jan H. van Vuuren

Discret. Math., 2007

Towards a Characterisation of Lottery Set Overlapping Structures.

Alewyn P. Burger, W. R. Grundlingh, Jan H. van Vuuren

Ars Comb., 2007

2005

Altitude of regular graphs with girth at least five.

Christina M. Mynhardt, Alewyn P. Burger, T. C. Clark, B. Falvai, N. D. R. Henderson

Discret. Math., 2005

Altitude of small complete and complete bipartite graphs.

Alewyn P. Burger, Ernest J. Cockayne, Christina M. Mynhardt

Australas. J Comb., 2005

2004

On the domination number of prisms of graphs.

Alewyn P. Burger, Christina M. Mynhardt, William D. Weakley

Discuss. Math. Graph Theory, 2004

Ramsey numbers in complete balanced multipartite graphs. Part II: Size numbers.

Alewyn P. Burger, Jan H. van Vuuren

Discret. Math., 2004

Ramsey numbers in complete balanced multipartite graphs. Part I: Set numbers.

Alewyn P. Burger, Jan H. van Vuuren

Discret. Math., 2004

2003

An improved upper bound for queens domination numbers.

Alewyn P. Burger, Christina M. Mynhardt

Discret. Math., 2003

The domination number of the toroidal queens graph of size 3k×3k.

Alewyn P. Burger, Christina M. Mynhardt, William D. Weakley

Australas. J Comb., 2003

2002

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

Alewyn P. Burger, Christina M. Mynhardt

Discret. Appl. Math., 2002

2001

Queens graphs for chessboards on the torus.

Alewyn P. Burger, Christina M. Mynhardt, Ernest J. Cockayne

Australas. J Comb., 2001

1999

Panel: Global Technologies, Local Cultures: The Case of Virtual Financial Services.

Faith Noble, Alewyn P. Burger, Anders Henten, Kalle Lyytinen, Frank Seifert, Andrea Carignani

Proceedings of the Seventh European Conference on Information Systems, 1999

1997

Domination and irredundance in the queens' graph.

Alewyn P. Burger, Ernest J. Cockayne, Christina M. Mynhardt

Discret. Math., 1997