Discussiones Mathematicae Graph Theory 28(1) (2008)
109-119
doi: 10.7151/dmgt.1395
Joanna Raczek
Department of Discrete Mathematics
Faculty of Applied Physics and Mathematics
Gdańsk University of Technology
Narutowicza 11/12, 80-952 Gdańsk, Poland
e-mail: gardenia@pg.gda.pl
Keywords: weakly connected domination number, weakly connected domination subdivision number.
2000 Mathematics Subject Classification: 05C69.
[1] | G.S. Domke, J.H. Hattingh and L.R. Marcus, On weakly connected domination in graphs II, Discrete Math. 305 (2005) 112-122, doi: 10.1016/j.disc.2005.10.006. |
[2] | J.E. Dunbar, J.W. Grossman, J.H. Hattingh, S.T. Hedetniemi and A.A. McRae, On weakly connected domination in graphs, Discrete Math. 167/168 (1997) 261-269, doi: 10.1016/S0012-365X(96)00233-6. |
[3] | T.W. Haynes, S.T. Hedetniemi and P.J. Slater, Fundamentals of Domination in Graphs (Marcel Dekker Inc., New York, 1998). |
[4] | T.W. Haynes, M.A. Henning and L.S. Hopkins, Total domination subdivision numbers of graphs, Discuss. Math. Graph Theory 24 (2003) 457-467, doi: 10.7151/dmgt.1244. |
[5] | J.H. Hattingh, E. Jonck and L.R. Marcus, A note on the weakly connected subdivision number of a graph (2007), to appear. |
Received 10 November 2006
Revised 18 December 2007
Accepted 18 December 2007