The k -tuple domatic number of a graph

Frank Harary; Teresa W. Haynes

Mathematica Slovaca (1998)

  • Volume: 48, Issue: 2, page 161-166
  • ISSN: 0232-0525

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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

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  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

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