| Title:
|
Nearly regular cell-decompositions of orientable 2-manifolds with at most two exceptional cells (English) |
| Author:
|
Horňák, Mirko |
| Author:
|
Jucovič, Ernest |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
27 |
| Issue:
|
1 |
| Year:
|
1977 |
| Pages:
|
73-89 |
| . |
| Category:
|
math |
| . |
| MSC:
|
52A10 |
| MSC:
|
57M20 |
| MSC:
|
57N05 |
| MSC:
|
57Q05 |
| idZBL:
|
Zbl 0349.55002 |
| idMR:
|
MR0461511 |
| . |
| Date available:
|
2009-09-25T08:47:37Z |
| Last updated:
|
2012-07-31 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/129048 |
| . |
| Reference:
|
[1] BARNETTE D., JUCOVlC E., TRENKLER M.: Toroidal maps with prescribed types of vertices and faces.Mathematika, 18, 1971, 82-90. MR 0288048 |
| Reference:
|
[2] CROWE D. V.: Nearly regular polyhedra with two exceptional faces."The Many Facets of Graph Theory" ed. by G. Chartrand and S. F. Kapoon, Springer 1969, 63-76. Zbl 0185.48504, MR 0256928 |
| Reference:
|
[3] GALLAI T.: Signierte Zellenzerlegungen.Acta Math. Acad. Sci. Hungar., 22, 1971, 51-63. Zbl 0222.05104, MR 0288661 |
| Reference:
|
[4] GRÜNBAUM B.: Convex Polytopes.Interscience 1967. MR 0226496 |
| Reference:
|
[5] GRÜNBAUM B.: Polytopes, graphs, and complexes.Bull. Amer. Math. Soc. 76, 1970, 1131-1201. Zbl 0211.25001, MR 0266050 |
| Reference:
|
[6] HORŇÁK M.: .A theorem on the non-existence of certain type of nearly regular cell-decompositions of the sphere (to appear). Zbl 1222.05064 |
| Reference:
|
[7] JENDROL S.: On the non-existence of certain nearly regular planar maps with two exceptional faces.Mat. Čas., 25, 1975, 159-164. Zbl 0331.05104, MR 0392691 |
| Reference:
|
[8] JUCOVlĆ E.: On face-vectors and vertex-vectors of cell-decompositions of orientable 2-manifolds.Math. Nachrichten (to appear). |
| Reference:
|
[9] JUCOVlĆ E.: Strengthening of a theorem about 3-polytopes.Geornetriae dedicata, 3, 1974, 233-237. MR 0348629 |
| Reference:
|
[10] JUCOVlĆ E., TRENKLER M.: A theorem on the structure of cell-decompositions of orientable 2-manifolds.Mathematika, 20, 1973, 63-82. MR 0344163 |
| Reference:
|
[11] MALKEVITCH J.: Properties of planar graphs with uniform vertex and face structure.Memoirs Amer. Math. Soc, 99, 1970. Zbl 0196.27203, MR 0260616 |
| . |
