Lucas C. van der Merwe

Publication Activity (10 Years)

Years Active: 2001-2016
Publications (10 Years): 2

Top Topics

Series Parallel

Graph Theoretic

Top Venues

J. Comb. Optim.

Publications

Johannes H. Hattingh, Osama A. Saleh, Lucas C. van der Merwe, Terry J. Walters
Nordhaus-Gaddum Results for the Induced Path Number of a Graph When Neither the Graph Nor Its Complement Contains Isolates. Graphs Comb. 32 (3) (2016)
Teresa W. Haynes, Michael A. Henning, Lucas C. van der Merwe, Anders Yeo
Progress on the Murty-Simon Conjecture on diameter-2 critical graphs: a survey. J. Comb. Optim. 30 (3) (2015)
Johannes H. Hattingh, Osama A. Saleh, Lucas C. van der Merwe, Terry J. Walters
A Nordhaus-Gaddum-type result for the induced path number. J. Comb. Optim. 24 (3) (2012)
Abdollah Alimadadi, Changiz Eslahchi, Teresa W. Haynes, Michael A. Henning, Nader Jafari Rad, Lucas C. van der Merwe
Erratum to "Total domination supercritical graphs with respect to relative complements" [Discrete Math. 258 (2002) 361-371]. Discret. Math. 312 (5) (2012)
Johannes H. Hattingh, Nader Jafari Rad, Sayyed Heidar Jafari, Marc Loizeaux, John Matthews, Lucas C. van der Merwe
Total edge critical graphs with leaves. Discret. Math. 312 (24) (2012)
Francesco Barioli, Marc Loizeaux, Lucas C. van der Merwe
On a Family of 4-Critical Graphs with Diameter Three. Ars Comb. 105 (2012)
Michael A. Henning, Lucas C. van der Merwe
The maximum diameter of total domination edge-critical graphs. Discret. Math. 312 (2) (2012)
Teresa W. Haynes, Michael A. Henning, Lucas C. van der Merwe, Anders Yeo
-free total domination edge-critical graphs. Discret. Math. 311 (13) (2011)
Teresa W. Haynes, Michael A. Henning, Lucas C. van der Merwe, Anders Yeo
On a conjecture of Murty and Simon on diameter 2-critical graphs. Discret. Math. 311 (17) (2011)
Michael A. Henning, Lucas C. van der Merwe
Properties of total domination edge-critical graphs. Discret. Appl. Math. 158 (2) (2010)
Teresa W. Haynes, Michael A. Henning, Lucas C. van der Merwe
Domination and total domination in complementary prisms. J. Comb. Optim. 18 (1) (2009)
Johannes H. Hattingh, Ernst J. Joubert, Marc Loizeaux, Andrew R. Plummer, Lucas C. van der Merwe
Restrained domination in unicyclic graphs. Discuss. Math. Graph Theory 29 (1) (2009)
Wayne Goddard, Teresa W. Haynes, Michael A. Henning, Lucas C. van der Merwe
The diameter of total domination vertex critical graphs. Discret. Math. 286 (3) (2004)
Lucas C. van der Merwe, Christina M. Mynhardt, Teresa W. Haynes
Total Domination Edge Critical Graphs with Minimum Diameter. Ars Comb. 66 (2003)
Teresa W. Haynes, Michael A. Henning, Lucas C. van der Merwe
Total domination critical graphs with respect to relative complements. Ars Comb. 64 (2002)
Teresa W. Haynes, Michael A. Henning, Lucas C. van der Merwe
Total domination supercritical graphs with respect to relative complements. Discret. Math. 258 (1-3) (2002)
Teresa W. Haynes, Christina M. Mynhardt, Lucas C. van der Merwe
Total Domination Edge Critical Graphs with Maximum Diameter. Discuss. Math. Graph Theory 21 (2) (2001)
Teresa W. Haynes, Michael A. Henning, Lucas C. van der Merwe
Domination and total domination critical trees with respect to relative complements. Ars Comb. 59 (2001)
Teresa W. Haynes, Sandra Mitchell Hedetniemi, Stephen T. Hedetniemi, David Pokrass Jacobs, James A. Knisely, Lucas C. van der Merwe
Domination Subdivision Numbers. Discuss. Math. Graph Theory 21 (2) (2001)