Title:
|
On $f$-domination number of a graph (English) |
Author:
|
Zhou, Sanming |
Language:
|
English |
Journal:
|
Czechoslovak Mathematical Journal |
ISSN:
|
0011-4642 (print) |
ISSN:
|
1572-9141 (online) |
Volume:
|
46 |
Issue:
|
3 |
Year:
|
1996 |
Pages:
|
489-499 |
. |
Category:
|
math |
. |
MSC:
|
05C35 |
MSC:
|
05C70 |
idZBL:
|
Zbl 0879.05037 |
idMR:
|
MR1408300 |
DOI:
|
10.21136/CMJ.1996.127310 |
. |
Date available:
|
2009-09-24T09:58:58Z |
Last updated:
|
2020-07-29 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127310 |
. |
Reference:
|
[1] Y. Caro and Y. Roditty: A note on the $k$-domination number of a graph.Internat. J. Math. & Math. Sci. 13 (1990), no. 1, 205–206. MR 1038667, 10.1155/S016117129000031X |
Reference:
|
[2] P. Erdös: On some extremal problems in graph theory.Israel J. of Mathematics 3 (1965), 113–116. MR 0190027, 10.1007/BF02760037 |
Reference:
|
[3] O. Favaron: On a conjecture of Fink and Jacobson concerning $k$-domination and $k$-dependence.J. of Combinatorial Theory, Ser B 39 (1985), 101–102. Zbl 0583.05049, MR 0805459, 10.1016/0095-8956(85)90040-1 |
Reference:
|
[4] J.F. Fink and M.S. Jacobson: $n$-domination in graphs.Graph Theory with Applications to Algorithms and Computer Science, John Wiley & Sons, New York, 1985, pp. 283–300. MR 0812671 |
Reference:
|
[5] J.F. Fink and M.S. Jacobson: On $n$-domination, $n$-dependence and forbidden subgraphs.Graph Theory with Applications to Algorithms and Computer Science, John Wiley & Sons, New York, 1985, pp. 301–311. MR 0812672 |
Reference:
|
[6] S.T. Hedetniemi: Hereditary properties of graphs.J. of Combinatorial Theory, Ser B 14 (1973), 94–99. MR 0316313, 10.1016/S0095-8956(73)80009-7 |
Reference:
|
[7] F. Jaeger and C. Payan: Relations du type Nordhaus–Gaddum pour le nombre d’absorption d’un graphe simple.CR Acad. Sci., Ser. A 274 (1972), 728–730. MR 0294161 |
Reference:
|
[8] R. Laskar and H.B. Walikar: On domination related concepts in graph theory.Combinatorics and Graph Theory, S.B. Rao (ed.), Lecture Notes in Math. 885, Springer-Verlag, Berlin, Heidelberg, New York, 1981, pp. 308–320. MR 0655630 |
Reference:
|
[9] C. Stracke and L. Volkmann: A new domination conception.J. Graph Theory 17 (1993), no. 3, 315–323. MR 1220992, 10.1002/jgt.3190170306 |
. |