| Title:
|
On face vectors of trivalent maps (English) |
| Author:
|
Jendroľ, Stanislav |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
36 |
| Issue:
|
4 |
| Year:
|
1986 |
| Pages:
|
367-386 |
| . |
| Category:
|
math |
| . |
| MSC:
|
52Bxx |
| MSC:
|
57N05 |
| idZBL:
|
Zbl 0611.57009 |
| idMR:
|
MR871777 |
| . |
| Date available:
|
2009-09-25T09:56:48Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128654 |
| . |
| Reference:
|
[1] BARNETTE D. W.: On p-vectors of 3-polytopes.J. Combinatorial Theory 7, 1969, 89-103. Zbl 0179.25902, MR 0244851 |
| Reference:
|
[2] EBERHARD V.: Zuг Moгphologie der Polyeder.Teubner, Leipzig 1891. |
| Reference:
|
[3] FISHER J. C.: An existence theorem for simple convex polyhedгa.Discrete Math. 7, 1974, 75-97. MR 0333984 |
| Reference:
|
[4] GRÜNBAUM N.: Convex Polytopes.Interscience. New York, 1967. |
| Reference:
|
[5] GRÜNBAUM B.: Some analogues of Eberhaгďs theorem on convex polytopes.Israel J. Math.6, 1968, 398-411. MR 0244854 |
| Reference:
|
[6] GRÜNBAUM B.: Polytopal gгaphs.MAA Studies in Mathematics, Studies in Graph Theory, vol. 12 (D. R. Fulkeгson ed.), 1975. |
| Reference:
|
[7] GRÜNBAUM B., MOTZKIN T. S.: The number of hexagons and the simplicity of geodesics on ceгtain polyhedгa.Canad. J. Math. 15, 1963, 744-751. MR 0154182 |
| Reference:
|
[8] JENDROĽ S.: On the face-vector of a simple map.Recent Advances in Graph Theory (Proc. Symp. Prague 1974), Academia, Prague, 1975, 311-314. MR 0398875 |
| Reference:
|
[9] JENDROĽ S.: On the face-vectoг of trivalent convex polyhedгa.Math. Slovaca 33, 1983, 165-180. MR 0699086 |
| Reference:
|
[10] JENDROĽ S., JUCOVIČ E.: On the toroidal analogue of Eberhaгďs theorem.Pгoc. London Math. Soc. 25, 1972, 385-398. MR 0307968 |
| Reference:
|
[11] JENDROĽ S., JUCOVIČ E.: Geneгalization of a theorem of V. Eberhard.Math. Slovaca 27, 1977, 383-407. |
| Reference:
|
[12] JUCOVIČ E.: On polyhedгal гealizability of ceгtain sequences.Canad. Math. Bull. 12, 1969, 31-39. MR 0244073 |
| Reference:
|
[13] JUCOVIČ E.: On the number of hexagons in a map.J. Combinatorial Theory 10, 1971, 232-236. Zbl 0214.50902, MR 0278179 |
| Reference:
|
[14] JUCOVIČ E.: On face-vectoгs and veгtex-vectoгs of celldecompositions of orientable 2-manifolds.Math. Nachrichten 72, 1976, 285-295. |
| Reference:
|
[15] JUCOVIČ E.: Konvexné mnohosteny.Veda, Bratislava, 1981 (in Slovak). |
| Reference:
|
[16] KRAEFT J.: Übeг 3-realisieгbaгe Folgen mit beliebigen Sechseckzahlen.J. of Geometry 10, 1977, 32-44. MR 0513982 |
| Reference:
|
[17] MALKEVITCH J.: Pгopeгties of planaг gгaphs with unifoгm veгtex and face stгucture.PhD. Thesis, Univeгsity of Wisconsin, Madison, 1969. |
| . |
