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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
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Category: math
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MSC: 05C35
MSC: 05C70
idZBL: Zbl 0879.05037
idMR: MR1408300
DOI: 10.21136/CMJ.1996.127310
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Date available: 2009-09-24T09:58:58Z
Last updated: 2020-07-29
Stable URL: http://hdl.handle.net/10338.dmlcz/127310
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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
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