Lucas C. van der Merwe

According to our database, Lucas C. van der Merwe authored at least 19 papers between 2001 and 2016.

Collaborative distances:

• Dijkstra number of three.
• Erdős number of two.

2016

Nordhaus-Gaddum Results for the Induced Path Number of a Graph When Neither the Graph Nor Its Complement Contains Isolates.

Johannes H. Hattingh, Osama A. Saleh, Lucas C. van der Merwe, Terry J. Walters

Graphs Comb., 2016

2015

Progress on the Murty-Simon Conjecture on diameter-2 critical graphs: a survey.

Teresa W. Haynes, Michael A. Henning, Lucas C. van der Merwe, Anders Yeo

J. Comb. Optim., 2015

2012

A Nordhaus-Gaddum-type result for the induced path number.

Johannes H. Hattingh, Osama A. Saleh, Lucas C. van der Merwe, Terry J. Walters

J. Comb. Optim., 2012

The maximum diameter of total domination edge-critical graphs.

Michael A. Henning, Lucas C. van der Merwe

Discret. Math., 2012

Total edge critical graphs with leaves.

Johannes H. Hattingh, Nader Jafari Rad, Sayyed Heidar Jafari, Marc Loizeaux, John Matthews, Lucas C. van der Merwe

Discret. Math., 2012

Erratum to "Total domination supercritical graphs with respect to relative complements" [Discrete Math. 258 (2002) 361-371].

Abdollah Alimadadi, Changiz Eslahchi, Teresa W. Haynes, Michael A. Henning, Nader Jafari Rad, Lucas C. van der Merwe

Discret. Math., 2012

On a Family of 4-Critical Graphs with Diameter Three.

Francesco Barioli, Marc Loizeaux, Lucas C. van der Merwe

Ars Comb., 2012

2011

On a conjecture of Murty and Simon on diameter 2-critical graphs.

Teresa W. Haynes, Michael A. Henning, Lucas C. van der Merwe, Anders Yeo

Discret. Math., 2011

On the existence of k-partite or K_p-free total domination edge-critical graphs.

Teresa W. Haynes, Michael A. Henning, Lucas C. van der Merwe, Anders Yeo

Discret. Math., 2011

2010

Properties of total domination edge-critical graphs.

Michael A. Henning, Lucas C. van der Merwe

Discret. Appl. Math., 2010

2009

Domination and total domination in complementary prisms.

Teresa W. Haynes, Michael A. Henning, Lucas C. van der Merwe

J. Comb. Optim., 2009

Restrained domination in unicyclic graphs.

Johannes H. Hattingh, Ernst J. Joubert, Marc Loizeaux, Andrew R. Plummer, Lucas C. van der Merwe

Discuss. Math. Graph Theory, 2009

2004

The diameter of total domination vertex critical graphs.

Wayne Goddard, Teresa W. Haynes, Michael A. Henning, Lucas C. van der Merwe

Discret. Math., 2004

2003

Total Domination Edge Critical Graphs with Minimum Diameter.

Lucas C. van der Merwe, Christina M. Mynhardt, Teresa W. Haynes

Ars Comb., 2003

2002

Total domination supercritical graphs with respect to relative complements.

Teresa W. Haynes, Michael A. Henning, Lucas C. van der Merwe

Discret. Math., 2002

Total domination critical graphs with respect to relative complements.

Teresa W. Haynes, Michael A. Henning, Lucas C. van der Merwe

Ars Comb., 2002

2001

Total Domination Edge Critical Graphs with Maximum Diameter.

Teresa W. Haynes, Christina M. Mynhardt, Lucas C. van der Merwe

Discuss. Math. Graph Theory, 2001

Domination Subdivision Numbers.

Teresa W. Haynes, Sandra Mitchell Hedetniemi, Stephen T. Hedetniemi, David Pokrass Jacobs, James A. Knisely, Lucas C. van der Merwe

Discuss. Math. Graph Theory, 2001

Domination and total domination critical trees with respect to relative complements.

Teresa W. Haynes, Michael A. Henning, Lucas C. van der Merwe

Ars Comb., 2001