# Note on the split domination number of the Cartesian product of paths

Discussiones Mathematicae Graph Theory (2005)

- Volume: 25, Issue: 1-2, page 79-84
- ISSN: 2083-5892

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topMaciej Zwierzchowski. "Note on the split domination number of the Cartesian product of paths." Discussiones Mathematicae Graph Theory 25.1-2 (2005): 79-84. <http://eudml.org/doc/270309>.

@article{MaciejZwierzchowski2005,

abstract = {In this note the split domination number of the Cartesian product of two paths is considered. Our results are related to [2] where the domination number of Pₘ ☐ Pₙ was studied. The split domination number of P₂ ☐ Pₙ is calculated, and we give good estimates for the split domination number of Pₘ ☐ Pₙ expressed in terms of its domination number.},

author = {Maciej Zwierzchowski},

journal = {Discussiones Mathematicae Graph Theory},

keywords = {domination number; split domination number; Cartesian product of graphs},

language = {eng},

number = {1-2},

pages = {79-84},

title = {Note on the split domination number of the Cartesian product of paths},

url = {http://eudml.org/doc/270309},

volume = {25},

year = {2005},

}

TY - JOUR

AU - Maciej Zwierzchowski

TI - Note on the split domination number of the Cartesian product of paths

JO - Discussiones Mathematicae Graph Theory

PY - 2005

VL - 25

IS - 1-2

SP - 79

EP - 84

AB - In this note the split domination number of the Cartesian product of two paths is considered. Our results are related to [2] where the domination number of Pₘ ☐ Pₙ was studied. The split domination number of P₂ ☐ Pₙ is calculated, and we give good estimates for the split domination number of Pₘ ☐ Pₙ expressed in terms of its domination number.

LA - eng

KW - domination number; split domination number; Cartesian product of graphs

UR - http://eudml.org/doc/270309

ER -

## References

top- [1] R. Diestel, Graph Theory (Springer-Verlag New York, Inc., 1997).
- [2] M.S. Jacobson and L.F. Kinch, On the domination number of products of graphs: I, Ars Combinatoria 18 (1983) 33-44. Zbl0566.05050
- [3] V.R. Kulli and B. Janakiram, The split domination number of a graph, Graph Theory Notes of New York XXXII (1997) 16-19.

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