A Kotzig type theorem for non-orientable surfaces

Stanislav Jendroľ; Milan Tuhársky

Mathematica Slovaca (2006)

  • Volume: 56, Issue: 3, page 245-253
  • ISSN: 0139-9918

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Jendroľ, Stanislav, and Tuhársky, Milan. "A Kotzig type theorem for non-orientable surfaces." Mathematica Slovaca 56.3 (2006): 245-253. <http://eudml.org/doc/32111>.

@article{Jendroľ2006,
author = {Jendroľ, Stanislav, Tuhársky, Milan},
journal = {Mathematica Slovaca},
keywords = {embedding of a graph; Kotzig type theorem; non-orientable genus; weight of edge},
language = {eng},
number = {3},
pages = {245-253},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {A Kotzig type theorem for non-orientable surfaces},
url = {http://eudml.org/doc/32111},
volume = {56},
year = {2006},
}

TY - JOUR
AU - Jendroľ, Stanislav
AU - Tuhársky, Milan
TI - A Kotzig type theorem for non-orientable surfaces
JO - Mathematica Slovaca
PY - 2006
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 56
IS - 3
SP - 245
EP - 253
LA - eng
KW - embedding of a graph; Kotzig type theorem; non-orientable genus; weight of edge
UR - http://eudml.org/doc/32111
ER -

References

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  1. IVANČO J., The weight of a graph, Ann. Discrete Math. 51 (1992), 113-116. (1992) Zbl0773.05066MR1206252
  2. JENDROL' S.-VOSS H.-J., Light subgraphs of graphs embedded in 2 -dimensional manifolds of Euler characteristic < 0 - a survey, In: P. Erdos and his Mathematics II. (G. Halasz, L. Lovasz, M. Simonovits, V. T. Sos, eds.), Bolyai Soc. Math. Stud. 11, Springer, Budapest, 2002, pp. 375-411. MR1954735
  3. JENDROL' S.-VOSS H.-J., A local property of large polyhedral maps on compact 2 -dimensional manifolds, Graphs Combin. 15 (1999), 303-313. (1999) Zbl0933.05044MR1723014
  4. KOTZIG A., A contribution to the theory of Eulerian polyhedra, Mat.-Fyz. Časopis SAV (Math. Slovaca) 5 (1955), 101-113. (Slovak, Russian summary) (1955) MR0074837
  5. MOHAR B.-THOMASSEN C., Graphs on Surfaces, The Johns Hopkins University Press, Baltimore-London, 2001. Zbl1230.05133MR1844449
  6. RINGEL G., Der vollständige paare Graph auf nichtorientierbaren Flächen, J. Reine Angew. Math. 220 (1965), 89-93. (1965) Zbl0132.21204MR0182963
  7. RINGEL G., Map Color Theorem, Springer-Verlag, Berlin, 1974. (1974) Zbl0287.05102MR0349461
  8. THOMASSEN C., Tilings of the torus and the Klein bottle and vertex-transitive graphs on a fixed surface, Trans. Amer. Math. Soc. 323 (1991), 605-635. (1991) Zbl0722.05031MR1040045
  9. ZAKS J., Extending Kotzig's Theorem, Israel J. Math. 45 (1983), 281-296. (1983) Zbl0524.05031MR0720304

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