Title:
|
Certain cubic multigraphs and their upper embeddability (English) |
Author:
|
Nebeský, Ladislav |
Language:
|
English |
Journal:
|
Czechoslovak Mathematical Journal |
ISSN:
|
0011-4642 (print) |
ISSN:
|
1572-9141 (online) |
Volume:
|
45 |
Issue:
|
3 |
Year:
|
1995 |
Pages:
|
385-392 |
. |
Category:
|
math |
. |
MSC:
|
05C10 |
idZBL:
|
Zbl 0839.05033 |
idMR:
|
MR1344505 |
DOI:
|
10.21136/CMJ.1995.128539 |
. |
Date available:
|
2009-09-24T09:48:28Z |
Last updated:
|
2020-07-29 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128539 |
. |
Reference:
|
[1] M. Behzad, G. Chartrand and L. Lesniak-Foster: Graphs & Digraphs.Prindle, Weber & Schmidt, Boston, 1979. MR 0525578 |
Reference:
|
[2] A. D. Glukhov: On chordal-critical graphs (in Russian).Some Topological and Combinatorial Properties of Graphs, Preprint 80.8., IM AN USSR, Kiev, 1980, pp. 24–27. MR 0583198 |
Reference:
|
[3] N. P. Homenko and A. D. Glukhov: One-component 2-cell embeddings and the maximum genus of a graph.Some Topological and Combinatorial Properties of Graphs, Preprint 80.8., IM AN USSR, Kiev, 1980, pp. 5–23. (Russian) MR 0583197 |
Reference:
|
[4] N. P. Homenko, N. A. Ostroverkhy and V. A. Kusmenko: The maximum genus of graphs (in Ukrainian, English summary).$\phi $-Transformations of Graphs (N. P. Homenko, ed.), IM AN USSR, Kiev, 1973, pp. 180–210. MR 0422065 |
Reference:
|
[5] M. Jungerman: A characterization of upper embeddable graphs.Trans. Amer. Math. Soc. 241 (1978), 401–406. Zbl 0379.05025, MR 0492309 |
Reference:
|
[6] L. Nebeský: A new characterization of the maximum genus of a graph.Czechoslovak Math. J. 31(106) (1981), 604–613. MR 0631605 |
Reference:
|
[7] L. Nebeský: $N_2$-locally connected graphs and their upper embeddability.Czechoslovak Math. J. 41(116) (1991), 731–735. MR 1134962 |
Reference:
|
[8] L. Nebeský: Local properties and upper embeddability of connected graphs.Czechoslovak Math. J. 43(118) (1993) (to appear), 241–248. MR 1211746 |
Reference:
|
[9] R. Nedela and M. Škoviera: On graphs embeddable with short faces.Topics in Combinatorics and Graph Theory, R. Bodendiek, R. Henn (eds.), Physica-Verlag, Heidelberg, 1990, pp. 519–529. MR 1100074 |
Reference:
|
[10] A. T. White: Graphs, Groups, and Surfaces. Revised Edition.North-Holland, Amsterdam, 1984. MR 0780555 |
Reference:
|
[11] N. H. Xuong: How to determine the maximum genus of a graph.J. Combinatorial Theory Ser. B 26 (1976), 217–225. MR 0532589, 10.1016/0095-8956(79)90058-3 |
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