Alewyn P. Burger

Publication Activity (10 Years)

Years Active: 1997-2022
Publications (10 Years): 7

Top Topics

Graph Construction

Graph Theoretic

Connected Graphs

Top Venues

Discret. Appl. Math.

Discret. Optim.

Electron. J. Comb.

Publications

Alewyn P. Burger, Johan P. de Wet, Marietjie Frick, Nico Van Cleemput, Carol T. Zamfirescu
Planar hypohamiltonian oriented graphs. J. Graph Theory 100 (1) (2022)
Susan A. van Aardt, Alewyn P. Burger, Marietjie Frick, Carsten Thomassen, Johan P. de Wet
Hamilton cycles in sparse locally connected graphs. Discret. Appl. Math. 257 (2019)
Susan A. van Aardt, Christoph Brause, Alewyn P. Burger, Marietjie Frick, Arnfried Kemnitz, Ingo Schiermeyer
Proper connection and size of graphs. Discret. Math. 340 (11) (2017)
Susan A. van Aardt, Alewyn P. Burger, Marietjie Frick, Arnfried Kemnitz, Ingo Schiermeyer
Hypohamiltonian Oriented Graphs of All Possible Orders. Graphs Comb. 31 (6) (2015)
Alewyn P. Burger, Anton Pierre de Villiers, Jan H. van Vuuren
Edge criticality in secure graph domination. Discret. Optim. 18 (2015)
Alewyn P. Burger, C. G. Jacobs, Jan H. van Vuuren, Stephan Esterhuyse Visagie
Scheduling multi-colour print jobs with sequence-dependent setup times. J. Sched. 18 (2) (2015)
Susan A. van Aardt, Alewyn P. Burger, Jean E. Dunbar, Marietjie Frick, Bernardo Llano, Carsten Thomassen, Rita Zuazua
Destroying longest cycles in graphs and digraphs. Discret. Appl. Math. 186 (2015)
Alewyn P. Burger, Anton Pierre de Villiers, Jan H. van Vuuren
A linear algorithm for secure domination in trees. Discret. Appl. Math. 171 (2014)
Susan A. van Aardt, Alewyn P. Burger, Marietjie Frick, Bernardo Llano, Rita Zuazua
Infinite families of 2-hypohamiltonian/2-hypotraceable oriented graphs. Graphs Comb. 30 (4) (2014)
Susan A. van Aardt, Alewyn P. Burger, Jean E. Dunbar, Marietjie Frick, John Harris, Joy Singleton
An Iterative Approach to the Traceability Conjecture for Oriented Graphs. Electron. J. Comb. 20 (1) (2013)
Susan A. van Aardt, Alewyn P. Burger, Marietjie Frick
An Infinite Family of Planar Hypohamiltonian Oriented Graphs. Graphs Comb. 29 (4) (2013)
Alewyn P. Burger, M. van der Merwe, Jan H. van Vuuren
An asymptotic analysis of the evolutionary spatial prisoner's dilemma on a path. Discret. Appl. Math. 160 (15) (2012)
Alewyn P. Burger, Martin Philip Kidd, Jan H. van Vuuren
A graph-theoretic proof of the non-existence of self-orthogonal Latin squares of order 6. Discret. Math. 311 (13) (2011)
Alewyn P. Burger, Jan H. van Vuuren
Avoidance colourings for small nonclassical Ramsey numbers. Discret. Math. Theor. Comput. Sci. 13 (2) (2011)
Alewyn P. Burger, Martin Philip Kidd, Jan H. van Vuuren
Enumeration of isomorphism classes of self-orthogonal Latin squares. Ars Comb. 97 (2010)
Alewyn P. Burger, Christina M. Mynhardt
Regular graphs are not universal fixers. Discret. Math. 310 (2) (2010)
Alewyn P. Burger, Michael A. Henning, Jan H. van Vuuren
On the ratios between packing and domination parameters of a graph. Discret. Math. 309 (8) (2009)
Alewyn P. Burger, Jan H. van Vuuren
On the (r, s) domination number of a graph. Ars Comb. 88 (2008)
Alewyn P. Burger, W. R. Grundlingh, Jan H. van Vuuren
Towards a Characterisation of Lottery Set Overlapping Structures. Ars Comb. 84 (2007)
Alewyn P. Burger, Jan H. van Vuuren
Balanced minimum covers of a finite set. Discret. Math. 307 (22) (2007)
Christina M. Mynhardt, Alewyn P. Burger, T. C. Clark, B. Falvai, N. D. R. Henderson
Altitude of regular graphs with girth at least five. Discret. Math. 294 (3) (2005)
Alewyn P. Burger, Ernest J. Cockayne, Christina M. Mynhardt
Altitude of small complete and complete bipartite graphs. Australas. J Comb. 31 (2005)
Alewyn P. Burger, Christina M. Mynhardt, William D. Weakley
On the domination number of prisms of graphs. Discuss. Math. Graph Theory 24 (2) (2004)
Alewyn P. Burger, Jan H. van Vuuren
Ramsey numbers in complete balanced multipartite graphs. Part II: Size numbers. Discret. Math. 283 (1-3) (2004)
Alewyn P. Burger, Jan H. van Vuuren
Ramsey numbers in complete balanced multipartite graphs. Part I: Set numbers. Discret. Math. 283 (1-3) (2004)
Alewyn P. Burger, Christina M. Mynhardt
An improved upper bound for queens domination numbers. Discret. Math. 266 (1-3) (2003)
Alewyn P. Burger, Christina M. Mynhardt, William D. Weakley
The domination number of the toroidal queens graph of size 3k×3k. Australas. J Comb. 28 (2003)
Alewyn P. Burger, Christina M. Mynhardt
An upper bound for the minimum number of queens covering the n x n chessboard. Discret. Appl. Math. 121 (1-3) (2002)
Alewyn P. Burger, Christina M. Mynhardt, Ernest J. Cockayne
Queens graphs for chessboards on the torus. Australas. J Comb. 24 (2001)
Faith Noble, Alewyn P. Burger, Anders Henten, Kalle Lyytinen, Frank Seifert, Andrea Carignani
Panel: Global Technologies, Local Cultures: The Case of Virtual Financial Services. ECIS (1999)
Alewyn P. Burger, Ernest J. Cockayne, Christina M. Mynhardt
Domination and irredundance in the queens' graph. Discret. Math. 163 (1-3) (1997)