| Title:
|
Generalization of a theorem by V. Eberhard (English) |
| Author:
|
Jendroľ, Stanislav |
| Author:
|
Jucovič, Ernest |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
27 |
| Issue:
|
4 |
| Year:
|
1977 |
| Pages:
|
383-407 |
| . |
| Category:
|
math |
| . |
| MSC:
|
57M20 |
| MSC:
|
57N05 |
| MSC:
|
57Q05 |
| idZBL:
|
Zbl 0376.57002 |
| idMR:
|
MR536841 |
| . |
| Date available:
|
2009-09-25T08:52:12Z |
| Last updated:
|
2012-07-31 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128757 |
| . |
| Reference:
|
[1] BARNETTE D., JUCOVIĆ E., TRENKLER M.: Toroidal maps with prescribed types of vertices and faces.Mathematika 18, 1971, 82-90. Zbl 0222.05102, MR 0288048 |
| Reference:
|
[2] EBERHARD V.: Zur Morphologie der Polyeder.Teubner, Leipzig 1891. |
| Reference:
|
[3] FISHER J. C: An existence theorem for simple convex polyhedra.Discr. Math. 7, 1974, 75-79. Zbl 0271.52008, MR 0333984 |
| Reference:
|
[4] GRÜNBAUM B.: Convex Polytopes.Interscience, New York 1967. MR 0226496 |
| Reference:
|
[5] GRÜNBAUM B.: Some analogues of Eberhard's Theorem on convex polytopes.Israel J. Math. 6, 1968, 398-411. MR 0244854 |
| Reference:
|
[6] GRÜNBAUM B.: Planar maps with prescribed types of vertices and faces.Mathematika 16, 1969, 28-36. Zbl 0186.27502, MR 0245460 |
| Reference:
|
[7] GRÜNBAUM B., ZAKS J.: The existence of certain planar maps.Discr. Math. 10, 1974, 93-115. Zbl 0298.05112, MR 0349455 |
| Reference:
|
[8] JENDROL' S.: A new proof of Eberhard's theorem.Acta Fac. Rerum natur. Univ. Comenian. Math. 31, 1975, 1-9. Zbl 0311.52006, MR 0385718 |
| Reference:
|
[9] JENDROL', S, JUCOVlĆ E.: On a conjecture by B. Grünbaum.Discr. Math. 2, 1972, 35-49. MR 0302497 |
| Reference:
|
[10] JENDROL' S., JUCOVIĆ E.: On the toroidal analogue of Eberhard's theorem.Proc. London Math. Soc. 25, 1972, 385-398. MR 0307968 |
| Reference:
|
[11] JUCOVlĆ E.: Analogues of Eberhard's theorem for 4-valent 3-polytopes with involutory automorphisms.Discr. Math. 6, 1973, 249-254, MR 0331222 |
| Reference:
|
[12] JUCOVlĆ E., TRENKLER M.: On 4-valent graphs imbedded in orientable 2-manifolds.Studia Sc. Math. Hung. 7, 1972, 225-232. MR 0313097 |
| Reference:
|
[13] JUCOVlĆ E., TRENKLER M.: A theorem on the structure of cell-decompositions of orientable 2-manifolds.Mathematika 20, 1973, 63-82. MR 0344163 |
| Reference:
|
[14] TRENKLER M.: Planar maps with prescribed degrees of vertices and faces (in Slovak).Acta Fac. Rerum Natur. Univ. Comenian. Math. 32, 1975, 105-118. MR 0539864 |
| Reference:
|
[15] ZAKS J.: The analogue of Eberhard's theorem for 4-valent graphs on the torus.Israel J. Math. 9, 1971, 299-305. Zbl 0222.05103, MR 0281654 |
| Reference:
|
[16] ZAKS J.: On realizing symmetric 3-polytopes.Israel J. Math. 10, 1971, 244-251. Zbl 0224.52005, MR 0298544 |
| Reference:
|
[17] ZAKS J.: 6-valent analogues of Eberhard's theorem.Israel J. Math. 18, 1974, 19-29. Zbl 0291.05102, MR 0353320 |
| . |
