Domination in n -cubes with diagonals

Ivan Havel

Mathematica Slovaca (1998)

  • Volume: 48, Issue: 2, page 105-115
  • ISSN: 0139-9918

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Havel, Ivan. "Domination in $n$-cubes with diagonals." Mathematica Slovaca 48.2 (1998): 105-115. <http://eudml.org/doc/31757>.

@article{Havel1998,
author = {Havel, Ivan},
journal = {Mathematica Slovaca},
keywords = {domination; -cube with diagonals; hypercubes; domination number; domatic number},
language = {eng},
number = {2},
pages = {105-115},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Domination in $n$-cubes with diagonals},
url = {http://eudml.org/doc/31757},
volume = {48},
year = {1998},
}

TY - JOUR
AU - Havel, Ivan
TI - Domination in $n$-cubes with diagonals
JO - Mathematica Slovaca
PY - 1998
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 48
IS - 2
SP - 105
EP - 115
LA - eng
KW - domination; -cube with diagonals; hypercubes; domination number; domatic number
UR - http://eudml.org/doc/31757
ER -

References

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  1. BERRACHEDI A.-HAVEL I.-MULDER H. M., Spherical and clockwise spherical graphs, Report 9456/B, Erasmus University Rotterdam, 1994. (1994) 
  2. COCKAYNE E. J.-HEDETNIEMI S. T., Towards a theory of domination in graphs, Networks 7 (1977), 247-271. (1977) MR0483788
  3. DVOŘÁK T.-HAVEL I.-LABORDE, J-M.-LIEBL P., Generalized hypercubes and graph embedding with dilation, Rostocker Mathem. Kolloquium 39 (1990), 13-20. (1990) Zbl0719.05036MR1090602
  4. HARARY F., Four difficult unsolved problems in graph theory, In: Recent Advances in Graph Theory (M. Fiedler, ed.), Academia, Praha, 1974, pp. 249-256. (1974) MR0382042
  5. LABORDE, J-M., Sur le Nombre Domatique du n-Cube et Une Conjecture de Zelinka, European J. Combin. 8 (1987), 175-177. (1987) Zbl0641.05026MR0896130
  6. MOLLARD M., Les invariants du n-cube, These de 3e cycle, IMAG, Grenoble, 1981. (1981) 
  7. MULDER H. M., The interval function of a graph, Mathematical Centre Tracts 132, Mathematisch Centrum, Amsterdam, 1980. (1980) Zbl0446.05039MR0605838
  8. PAYAN, CH., On the chromatic number of cube-like graphs, Discrete Math. 103 (1992), 271-277. (1992) Zbl0772.05043MR1171780
  9. SLOANE N. J. A.-Mac-WILLIAMS F. J., The Theory of Error-Correcting Codes, North-Holland, Amsterdam, 1978. (1978) 
  10. SOKOLOVÁ M., The chromatic number of extended odd graphs is four, Časopis Pěst. Mat. 112 (1987), 308-311. (1987) Zbl0667.05023MR0905977
  11. ZELINKA B., Domatically critical graphs, Czechoslovak Math. J. 30 (1980), 468-489. (1980) Zbl0426.05046MR0583627
  12. ZELINKA B., Domatic numbers of cube graphs, Math. Slovaca 32 (1982), 117-119. (1982) Zbl0487.05057MR0658244

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