120
Views
3
CrossRef citations to date
0
Altmetric
Section A

A general method in the theory of domination in graphs

, &
Pages 2915-2924 | Received 05 Dec 2008, Accepted 17 Jun 2009, Published online: 19 Oct 2010

References

  • Chellali, M. , 2005. On weak and restrained domination in trees , AKCE Int. J. Graphs Comb. 2 (1) (2005), pp. 39–44.
  • Chellali, M. , 2006. A note on the double domination number in trees , AKCE Int. J. Graphs Comb. 3 (2) (2006), pp. 147–150.
  • Chellali, M. , and Haynes, T. W. , 2006. A note on the total domination number of a tree , J. Combin. Math. Combin. Comput. 58 (2006), pp. 189–193.
  • Domke, G. S. , Hattingh, J. H. , Henning, M. A. , and Markus, L. R. , 2000. Restrained domination in trees , Discrete Math. 211 (1–3) (2000), pp. 1–9.
  • Duchet, P. , and Meyniel, H. , 1982. "On Hadwiger's number and the stability number". In: Bollobás, B. , ed. Graph Theory (Cambridge, 1981) . Vol. 62. Amsterdam: North-Holland Mathematics Studies, North-Holland; 1982. pp. 71–73.
  • Favaron, O. , and Kratsch, D. , 1991. "Ratios of domination parameters". In: Kulli, V. R. , ed. Advances in Graph Theory . Gulbarga: Vishwa; 1991. pp. 173–182.
  • Hansberg, A. , Meierling, D. , and Volkmann, L. , 2007. Distance domination and distance irredundance in graphs , Electron. J. Combin. 14 (1) (2007), 10 pp. (electronic) (Research Paper 35).
  • Hattingh, J. H. , and Rautenbach, D. , 2002. Further results on weak domination in graphs , Util. Math. 61 (2002), pp. 193–207.
  • Lemańska, M. , 2004. Lower bound on the domination number of a tree , Discuss. Math. Graph Theory 24 (2) (2004), pp. 165–169.
  • Lemańska, M. , 2007. Lower bound on the weakly connected domination number of a tree , Australas. J. Combin. 37 (2007), pp. 67–71.
  • Meierling, D. , and Volkmann, L. , 2005. A lower bound for the distance k-domination number of trees , Results Math. 47 (3–4) (2005), pp. 335–339.
  • Raczek, J. , 2006. Lower bound on the paired domination number of a tree , Australas. J. Combin. 34 (2006), pp. 343–347.
  • Raczek, J. , 2008. Distance paired domination numbers of graphs , Discrete Math. 308 (12) (2008), pp. 2473–2483.
  • Raczek, J. , Lemańska, M. , and Cyman, J. , 2006. Lower bound on the distance k-domination number of a tree , Math. Slovaca 56 (2) (2006), pp. 235–243.
  • Xu, J.-M. , Tian, F. , and Huang, J. , 2006. Distance irredundance and connected domination numbers of a graph , Discrete Math. 306 (2006), pp. 2943–2953.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.