| Title:
|
A Kotzig type theorem for non-orientable surfaces (English) |
| Author:
|
Jendroľ, Stanislav |
| Author:
|
Tuhársky, Milan |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
56 |
| Issue:
|
3 |
| Year:
|
2006 |
| Pages:
|
245-253 |
| . |
| Category:
|
math |
| . |
| MSC:
|
05C10 |
| idZBL:
|
Zbl 1141.05028 |
| idMR:
|
MR2250077 |
| . |
| Date available:
|
2009-09-25T14:31:50Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/130967 |
| . |
| Reference:
|
[I] IVANČO J.: The weight of a graph.Ann. Discrete Math. 51 (1992), 113-116. Zbl 0773.05066, MR 1206252 |
| Reference:
|
[JV1] 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. MR 1954735 |
| Reference:
|
[JV2] JENDROL' S.-VOSS H.-J.: A local property of large polyhedral maps on compact $2$-dimensional manifolds.Graphs Combin. 15 (1999), 303-313. Zbl 0933.05044, MR 1723014 |
| Reference:
|
[K] KOTZIG A.: A contribution to the theory of Eulerian polyhedra.Mat.-Fyz. Časopis SAV (Math. Slovaca) 5 (1955), 101-113. (Slovak, Russian summary) MR 0074837 |
| Reference:
|
[MT] MOHAR B.-THOMASSEN C.: Graphs on Surfaces.The Johns Hopkins University Press, Baltimore-London, 2001. Zbl 1230.05133, MR 1844449 |
| Reference:
|
[Rl] RINGEL G.: Der vollständige paare Graph auf nichtorientierbaren Flächen.J. Reine Angew. Math. 220 (1965), 89-93. Zbl 0132.21204, MR 0182963 |
| Reference:
|
[R2] RINGEL G.: Map Color Theorem.Springer-Verlag, Berlin, 1974. Zbl 0287.05102, MR 0349461 |
| Reference:
|
[T] 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. Zbl 0722.05031, MR 1040045 |
| Reference:
|
[Z] ZAKS J.: Extending Kotzig's Theorem.Israel J. Math. 45 (1983), 281-296. Zbl 0524.05031, MR 0720304 |
| . |
