Antiflows, oriented and strong oriented colorings of graphs

Robert Šámal

Archivum Mathematicum (2004)

  • Volume: 040, Issue: 4, page 335-343
  • ISSN: 0044-8753

Abstract

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We present an overview of the theory of nowhere zero flows, in particular the duality of flows and colorings, and the extension to antiflows and strong oriented colorings. As the main result, we find the asymptotic relation between oriented and strong oriented chromatic number.

How to cite

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Šámal, Robert. "Antiflows, oriented and strong oriented colorings of graphs." Archivum Mathematicum 040.4 (2004): 335-343. <http://eudml.org/doc/249283>.

@article{Šámal2004,
abstract = {We present an overview of the theory of nowhere zero flows, in particular the duality of flows and colorings, and the extension to antiflows and strong oriented colorings. As the main result, we find the asymptotic relation between oriented and strong oriented chromatic number.},
author = {Šámal, Robert},
journal = {Archivum Mathematicum},
keywords = {antiflow; strong oriented coloring; chromatic number; nowhere zero flows},
language = {eng},
number = {4},
pages = {335-343},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Antiflows, oriented and strong oriented colorings of graphs},
url = {http://eudml.org/doc/249283},
volume = {040},
year = {2004},
}

TY - JOUR
AU - Šámal, Robert
TI - Antiflows, oriented and strong oriented colorings of graphs
JO - Archivum Mathematicum
PY - 2004
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 040
IS - 4
SP - 335
EP - 343
AB - We present an overview of the theory of nowhere zero flows, in particular the duality of flows and colorings, and the extension to antiflows and strong oriented colorings. As the main result, we find the asymptotic relation between oriented and strong oriented chromatic number.
LA - eng
KW - antiflow; strong oriented coloring; chromatic number; nowhere zero flows
UR - http://eudml.org/doc/249283
ER -

References

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  2. Diestel R., Graph Theory, Springer 2000. Zbl1218.05001MR1743598
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  4. Lang S., Algebra, Chapter I, §8, Springer 2002. Zbl1063.00002MR1878556
  5. Nešetřil J., Raspaud A., Antisymmetric Flows and Strong Colourings of Oriented graphs, An. Inst. Fourier (Grenoble) 49, 3 (1999), 1037–1056. (1999) Zbl0921.05034MR1703437
  6. Rohrbach H., Weis J., Zum finiten Fall des Bertrandschen Postulats, J. Reine Angew. Math., 214/5 (1964), 432–440. (1964) Zbl0131.04403MR0161820
  7. Singer J., A theorem in finite projective geometry and some applications to number theory, Trans. Amer. Math. Soc. 43 (1938) 377–385. (1938) Zbl0019.00502MR1501951
  8. Srinivasan B. R., On the number of Abelian groups of a given order, Acta Arith. 23 (1973), 195–205. (1973) Zbl0228.10022MR0337841
  9. Šámal R., Antisymmetric flows and strong oriented coloring of planar graphs, EuroComb’01 (Barcelona), Discrete Math. 273 (2003), no. 1-3, 203–209. Zbl1029.05054MR2025951
  10. Šámal R., Flows and Colorings of Graphs, Proceedings of the conference Week of Doctoral Students 2002, Charles University in Prague, Faculty of Mathematics and Physics. 

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