Circulants and the chromatic index of Steiner triple systems

Mariusz Meszka; Roman Nedela; Alexander Rosa

Mathematica Slovaca (2006)

  • Volume: 56, Issue: 4, page 371-378
  • ISSN: 0139-9918

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Meszka, Mariusz, Nedela, Roman, and Rosa, Alexander. "Circulants and the chromatic index of Steiner triple systems." Mathematica Slovaca 56.4 (2006): 371-378. <http://eudml.org/doc/32333>.

@article{Meszka2006,
author = {Meszka, Mariusz, Nedela, Roman, Rosa, Alexander},
journal = {Mathematica Slovaca},
keywords = {circulant; Steiner triple system; chromatic index},
language = {eng},
number = {4},
pages = {371-378},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Circulants and the chromatic index of Steiner triple systems},
url = {http://eudml.org/doc/32333},
volume = {56},
year = {2006},
}

TY - JOUR
AU - Meszka, Mariusz
AU - Nedela, Roman
AU - Rosa, Alexander
TI - Circulants and the chromatic index of Steiner triple systems
JO - Mathematica Slovaca
PY - 2006
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 56
IS - 4
SP - 371
EP - 378
LA - eng
KW - circulant; Steiner triple system; chromatic index
UR - http://eudml.org/doc/32333
ER -

References

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  1. ALBERTSON M.-HUTCHINSON J., On six-chromatic toroidal graphs, Proc. London Math. Soc. (3) 41 (1980), 533-556. (1980) Zbl0394.05018MR0591654
  2. CODENOTTI B.-GERACE I.-VIGNA S., Hardness results and spectral techniques for combinatorial problems on circulant graphs, Linear Algebra Appl. 285 (1998), 123-142. (1998) Zbl0931.05050MR1653503
  3. COLBOURN C.-COLBOURN M., The chromatic index of cyclic Steiner 2-designs, Int. J. Math. Math. Sci. 5 (1982), 823-825. (1982) Zbl0501.05011MR0679425
  4. COLBOURN C.-ROSA A., Triple Systems, Clarendon Press, Oxford, 1999. (1999) Zbl0938.05009MR1843379
  5. COLLINS K.-FISHER D.-HUTCHINSON J., On 3- and 4-coloring some circulant graphs, Presented at DREI'98. Graph Theory and Combinatorial Optimization, August 1998. (1998) 
  6. COLLINS K.-HUTCHINSON J., Four-coloring six-regular graphs on the torus, In: CRM Proc. Lecture Notes 23, Amer. Math. Soc, Providence, RI, 1999, pp. 21-33. (1999) Zbl0944.05044MR1723634
  7. HUTCHINSON J.-RICHTER R. B.-SEYMOUR P., Coloring Eulerian triangulations, J. Combin. Theory Ser. B 84 (2002), 225-239. MR1889255
  8. PIPPENGER N.-SPENCER J., Asymptotic behavior of the chromatic index for hypergraphs, J. Combin. Theorу Ser. A 51 (1989), 24-42. (1989) Zbl0729.05038MR0993646
  9. THOMASSEN C., Five-coloring maps on surfaces, J. Combin. Theorу Ser. B 59 (1993), 89-105. (1993) Zbl0794.05026MR1234386
  10. WEST D., Introduction to Graph Theory, (2nd ed.), Prentice Hall of India, New Delhi, 2005. Zbl1121.05304MR1367739
  11. YEH H.-G.-ZHU X., 4-colorable 6-regular toroidal graphs, Discrete Math. 273 (2003), 261-274. Zbl1034.05024MR2025955

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