Domination numbers of cardinal products

Antoaneta Klobučar

Mathematica Slovaca (1999)

  • Volume: 49, Issue: 4, page 387-402
  • ISSN: 0232-0525

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Klobučar, Antoaneta. "Domination numbers of cardinal products." Mathematica Slovaca 49.4 (1999): 387-402. <http://eudml.org/doc/31602>.

@article{Klobučar1999,
author = {Klobučar, Antoaneta},
journal = {Mathematica Slovaca},
keywords = {dominating set; cardinal product; domination number; paths},
language = {eng},
number = {4},
pages = {387-402},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Domination numbers of cardinal products},
url = {http://eudml.org/doc/31602},
volume = {49},
year = {1999},
}

TY - JOUR
AU - Klobučar, Antoaneta
TI - Domination numbers of cardinal products
JO - Mathematica Slovaca
PY - 1999
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 49
IS - 4
SP - 387
EP - 402
LA - eng
KW - dominating set; cardinal product; domination number; paths
UR - http://eudml.org/doc/31602
ER -

References

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  1. DE JAENISCH, C F., Applications de ľAnalyse Mathematique an Jenudes Echecs, Petrograd, 1862. 
  2. EL-ZAHAR M. PAREEK C. M., Domination number of products of graphs, Ars Combin. 31 (1991), 223 227. (1991) MR1110240
  3. FAUDREE R. J.-SCHELP R. H., The domination number for the product of graphs, Congr. Numer. 79 (1990), 29-33. (1990) Zbl0862.05060MR1140493
  4. FISHER D. C., The domination number of complete grid graphs, J. Graph Theory (To appear). 
  5. GRAVIER S.-KHELLADI A., On the dominating number of cross product of graphs, Discrete Math. 145 (1995), 273-277. (1995) MR1356600
  6. JACOBSON M. S.-KINCH L. F., On the domination number of products of graphs I, Ars Combin. 18 (1983), 33-44. (1983) MR0823829
  7. JACOBSON M. S.-KINCH L. F., On the domination number of the products of graphs II: Trees, J. Graph Theory 10 (1986), 97-106. (1986) MR0830061
  8. JHA P. K.-KLAVŽAR S., Independence and matching in direct-product graphs, Preprint 1995. (1995) MR1788124
  9. JHA P. K.-KLAVŽAR S.-ZMAZEK B., Isomorphic components of Kronecker product of bipartite graphs, Preprint 1994. (1994) MR1627967
  10. KLAVŽAR S.-SEIFTER N., Dominating Cartesian products of cycles, Discrete Appl. Math. 59 (1995), 129-136. (1995) Zbl0824.05037MR1330534
  11. KLAVŽAR S.-ZMAZEK B., On a Vizing-like conjecture for direct product graphs, Preprint 1995. (1995) MR1405022
  12. VIZING V. G., The cartesian product of graphs, Vychisl. Sistemy 9 (1963), 30-43. (1963) MR0209178

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