On restricted domination in graphs

Vladimir D. Samodivkin

Mathematica Slovaca (2007)

  • Volume: 57, Issue: 5, page [401]-406
  • ISSN: 0139-9918

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Samodivkin, Vladimir D.. "On restricted domination in graphs." Mathematica Slovaca 57.5 (2007): [401]-406. <http://eudml.org/doc/34659>.

@article{Samodivkin2007,
author = {Samodivkin, Vladimir D.},
journal = {Mathematica Slovaca},
keywords = {dominating set; restricted domination number},
language = {eng},
number = {5},
pages = {[401]-406},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {On restricted domination in graphs},
url = {http://eudml.org/doc/34659},
volume = {57},
year = {2007},
}

TY - JOUR
AU - Samodivkin, Vladimir D.
TI - On restricted domination in graphs
JO - Mathematica Slovaca
PY - 2007
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 57
IS - 5
SP - [401]
EP - 406
LA - eng
KW - dominating set; restricted domination number
UR - http://eudml.org/doc/34659
ER -

References

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  1. ARUMUGAM S.-KALA R., Domsaturation number of a graph, Indian J. Pure Appl. Math. 33 (2002), 1671-1676. Zbl1066.05098MR1951019
  2. FLACH P.-VOLKMANN, L, Estimations for the domination number of a graph, Discrete Math. 80 (1990), 145-151. (1990) Zbl0699.05055MR1048457
  3. GAREY M. R.-JONSON D. S., Computers and Intractability: A Guide to the Theory of NP Completeness, Freeman, New York, 1979. (1979) Zbl0411.68039MR0519066
  4. HAYNES T. W.-HEDETNIEMI S. T.-SLATER P. J., Fundamentals of Domination in Graphs, Marcel Dekker, New York, 1998. (1998) Zbl0890.05002MR1605684
  5. Domination in Graphs: Advanced Topics, (T. W. Haуnes, S. T. Hedetniemi, P. J. Slater, eds.), Marcel Dekker, New York, 1998. (1998) Zbl0883.00011MR1605685
  6. HENNING M. A., Restricted domination in graphs, Discrete Math. 254 (2002), 175-189. Zbl1116.05057MR1910108
  7. McCUAIG W.-SHEPHERD B., Domination in graphs with minimum degree two, J. Graph Theory 13 (1989), 749-762. (1989) Zbl0708.05058MR1025896
  8. ORE O., Theory of Graphs, Amer. Math. Soc. Colloq. Publ. 38, Amer. Math. Soc, Providence, RI, 1962. (1962) Zbl0105.35401MR0150753
  9. PAYAN, C, Sur le nombre ďabsorption ďun graph simple, Cahiеrs du centrе ďеtudes de recherche operationelle 17 (1975), 307-317. (1975) MR0401551
  10. SAMPATHKUMAR E.-NEERLAGI P. S., Dominatгon and neighborhood critical, fixed, free and totally free points, Sankhyã Ser. A 54 (1992), 403-407. (1992) 
  11. SANCHIS L. A., Bounds related to domination in graphs with minimum degree two, J. Graph Thеоry 25 (1997), 139-152. (1997) Zbl0876.05047MR1448851

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