The k -tuple domatic number of a graph

Frank Harary; Teresa W. Haynes

Mathematica Slovaca (1998)

  • Volume: 48, Issue: 2, page 161-166
  • ISSN: 0139-9918

How to cite

top

Harary, Frank, and Haynes, Teresa W.. "The $k$-tuple domatic number of a graph." Mathematica Slovaca 48.2 (1998): 161-166. <http://eudml.org/doc/31585>.

@article{Harary1998,
author = {Harary, Frank, Haynes, Teresa W.},
journal = {Mathematica Slovaca},
keywords = {domination; domatic number; -tuple domination; double domination; -tuple domatic number; dominating set; dominating number; domatic partition},
language = {eng},
number = {2},
pages = {161-166},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {The $k$-tuple domatic number of a graph},
url = {http://eudml.org/doc/31585},
volume = {48},
year = {1998},
}

TY - JOUR
AU - Harary, Frank
AU - Haynes, Teresa W.
TI - The $k$-tuple domatic number of a graph
JO - Mathematica Slovaca
PY - 1998
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 48
IS - 2
SP - 161
EP - 166
LA - eng
KW - domination; domatic number; -tuple domination; double domination; -tuple domatic number; dominating set; dominating number; domatic partition
UR - http://eudml.org/doc/31585
ER -

References

top
  1. BERGE C., Graphs and Hypergraphs, North-Holland, Amsterdam, 1973. (1973) Zbl0254.05101MR0357172
  2. COCKAYNE E. J.-DAWES R.-HEDETNIEMI S. T., Total domination in graphs, Networks 10 (1980), 211-215. (1980) Zbl0447.05039MR0584887
  3. COCKAYNE E. J.-HEDETNIEMI S. T., Towards a theory of domination in graphs, Networks 7 (1977), 247-261. (1977) MR0483788
  4. HARARY F., Graph Theory, Addison-Wesley, Reading, 1969. (1969) Zbl0196.27202MR0256911
  5. HARARY F.-HAYNES T. W., Double domination in graphs, Ars Combin. (Submitted). Zbl0993.05104MR1755232
  6. JAEGER F.-PAYAN C., Relations du type Nordhaus-Gaddum pour le nombre d'absorption d'un graphe simple, C. R. Acad. Sci. Paris Ser. A 274 (1972), 728-730. (1972) Zbl0226.05121MR0294161
  7. JOSEPH J. P.-ARUMUGAM S., A note on domination in graphs, Indian J. Pure Appl. Math. (To appear). 
  8. KULLI V. R., On n-total domination number in graphs, In: Proc. 2nd China-USA Internal Conference in Graph Theory, Combin. Algorithm and Applications, SIAM, 1991, pp. 319-324. (1991) Zbl0758.05083MR1132914
  9. ORE O., Theory of Graphs, Amer. Math. Soc. Colloq. Publ. 38, Amer. Math. Soc, Providence, RI, 1962. (1962) Zbl0105.35401MR0150753
  10. ZELINKA B., On k-ply domatic numbers of graphs, Math. Slovaca 34 (1984), 313-318. (1984) Zbl0602.05039MR0756989

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.