Lucas C. van der Merwe

19 papers Journal 19
YearRankTypeTitle / Venue / Authors
2016 J jnl
Nordhaus-Gaddum Results for the Induced Path Number of a Graph When Neither the Graph Nor Its Complement Contains Isolates.
Graphs Comb.
Johannes H. Hattingh, Osama A. Saleh, Lucas C. van der Merwe, Terry J. Walters
2015 J jnl
Progress on the Murty-Simon Conjecture on diameter-2 critical graphs: a survey.
J. Comb. Optim.
Teresa W. Haynes, Michael A. Henning, Lucas C. van der Merwe, Anders Yeo
2012 J jnl
A Nordhaus-Gaddum-type result for the induced path number.
J. Comb. Optim.
Johannes H. Hattingh, Osama A. Saleh, Lucas C. van der Merwe, Terry J. Walters
2012 J jnl
Erratum to "Total domination supercritical graphs with respect to relative complements" [Discrete Math. 258 (2002) 361-371].
Discret. Math.
Abdollah Alimadadi, Changiz Eslahchi, Teresa W. Haynes, Michael A. Henning, Nader Jafari Rad, Lucas C. van der Merwe
2012 J jnl
On a Family of 4-Critical Graphs with Diameter Three.
Ars Comb.
Francesco Barioli, Marc Loizeaux, Lucas C. van der Merwe
2012 J jnl
The maximum diameter of total domination edge-critical graphs.
Discret. Math.
Michael A. Henning, Lucas C. van der Merwe
2012 J jnl
Total edge critical graphs with leaves.
Discret. Math.
Johannes H. Hattingh, Nader Jafari Rad, Sayyed Heidar Jafari, Marc Loizeaux, John Matthews, Lucas C. van der Merwe
2011 J jnl
On a conjecture of Murty and Simon on diameter 2-critical graphs.
Discret. Math.
Teresa W. Haynes, Michael A. Henning, Lucas C. van der Merwe, Anders Yeo
2011 J jnl
On the existence of k-partite or K
Discret. Math.
Teresa W. Haynes, Michael A. Henning, Lucas C. van der Merwe, Anders Yeo
2010 J jnl
Properties of total domination edge-critical graphs.
Discret. Appl. Math.
Michael A. Henning, Lucas C. van der Merwe
2009 J jnl
Domination and total domination in complementary prisms.
J. Comb. Optim.
Teresa W. Haynes, Michael A. Henning, Lucas C. van der Merwe
2009 J jnl
Restrained domination in unicyclic graphs.
Discuss. Math. Graph Theory
Johannes H. Hattingh, Ernst J. Joubert, Marc Loizeaux, Andrew R. Plummer, Lucas C. van der Merwe
2004 J jnl
The diameter of total domination vertex critical graphs.
Discret. Math.
Wayne Goddard, Teresa W. Haynes, Michael A. Henning, Lucas C. van der Merwe
2003 J jnl
Total Domination Edge Critical Graphs with Minimum Diameter.
Ars Comb.
Lucas C. van der Merwe, Christina M. Mynhardt, Teresa W. Haynes
2002 J jnl
Total domination critical graphs with respect to relative complements.
Ars Comb.
Teresa W. Haynes, Michael A. Henning, Lucas C. van der Merwe
2002 J jnl
Total domination supercritical graphs with respect to relative complements.
Discret. Math.
Teresa W. Haynes, Michael A. Henning, Lucas C. van der Merwe
2001 J jnl
Domination Subdivision Numbers.
Discuss. Math. Graph Theory
Teresa W. Haynes, Sandra Mitchell Hedetniemi, Stephen T. Hedetniemi, David Pokrass Jacobs, James A. Knisely, Lucas C. van der Merwe
2001 J jnl
Domination and total domination critical trees with respect to relative complements.
Ars Comb.
Teresa W. Haynes, Michael A. Henning, Lucas C. van der Merwe
2001 J jnl
Total Domination Edge Critical Graphs with Maximum Diameter.
Discuss. Math. Graph Theory
Teresa W. Haynes, Christina M. Mynhardt, Lucas C. van der Merwe