Generalization of a theorem by V. Eberhard

Stanislav Jendroľ; Ernest Jucovič

Mathematica Slovaca (1977)

  • Volume: 27, Issue: 4, page 383-407
  • ISSN: 0232-0525

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Jendroľ, Stanislav, and Jucovič, Ernest. "Generalization of a theorem by V. Eberhard." Mathematica Slovaca 27.4 (1977): 383-407. <http://eudml.org/doc/31598>.

@article{Jendroľ1977,
author = {Jendroľ, Stanislav, Jucovič, Ernest},
journal = {Mathematica Slovaca},
language = {eng},
number = {4},
pages = {383-407},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Generalization of a theorem by V. Eberhard},
url = {http://eudml.org/doc/31598},
volume = {27},
year = {1977},
}

TY - JOUR
AU - Jendroľ, Stanislav
AU - Jucovič, Ernest
TI - Generalization of a theorem by V. Eberhard
JO - Mathematica Slovaca
PY - 1977
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 27
IS - 4
SP - 383
EP - 407
LA - eng
UR - http://eudml.org/doc/31598
ER -

References

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  1. BARNETTE D., JUCOVIĆ E., TRENKLER M., Toroidal maps with prescribed types of vertices and faces, Mathematika 18, 1971, 82-90. (1971) Zbl0222.05102MR0288048
  2. EBERHARD V., Zur Morphologie der Polyeder, Teubner, Leipzig 1891. 
  3. FISHER J. C, An existence theorem for simple convex polyhedra, Discr. Math. 7, 1974, 75-79. (1974) Zbl0271.52008MR0333984
  4. GRÜNBAUM B., Convex Polytopes, Interscience, New York 1967. (1967) MR0226496
  5. GRÜNBAUM B., Some analogues of Eberhard's Theorem on convex polytopes, Israel J. Math. 6, 1968, 398-411. (1968) MR0244854
  6. GRÜNBAUM B., Planar maps with prescribed types of vertices and faces, Mathematika 16, 1969, 28-36. (1969) Zbl0186.27502MR0245460
  7. GRÜNBAUM B., ZAKS J., The existence of certain planar maps, Discr. Math. 10, 1974, 93-115. (1974) Zbl0298.05112MR0349455
  8. JENDROL' S., A new proof of Eberhard's theorem, Acta Fac. Rerum natur. Univ. Comenian. Math. 31, 1975, 1-9. (1975) Zbl0311.52006MR0385718
  9. JENDROL', S, JUCOVlĆ E., On a conjecture by B. Grünbaum, Discr. Math. 2, 1972, 35-49. (1972) MR0302497
  10. JENDROL' S., JUCOVIĆ E., On the toroidal analogue of Eberhard's theorem, Proc. London Math. Soc. 25, 1972, 385-398. (1972) MR0307968
  11. JUCOVlĆ E., Analogues of Eberhard's theorem for 4-valent 3-polytopes with involutory automorphisms, Discr. Math. 6, 1973, 249-254, (1973) MR0331222
  12. JUCOVlĆ E., TRENKLER M., On 4-valent graphs imbedded in orientable 2-manifolds, Studia Sc. Math. Hung. 7, 1972, 225-232. (1972) MR0313097
  13. JUCOVlĆ E., TRENKLER M., A theorem on the structure of cell-decompositions of orientable 2-manifolds, Mathematika 20, 1973, 63-82. (1973) MR0344163
  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. (1975) MR0539864
  15. ZAKS J., The analogue of Eberhard's theorem for 4-valent graphs on the torus, Israel J. Math. 9, 1971, 299-305. (1971) Zbl0222.05103MR0281654
  16. ZAKS J., On realizing symmetric 3-polytopes, Israel J. Math. 10, 1971, 244-251. (1971) Zbl0224.52005MR0298544
  17. ZAKS J., 6-valent analogues of Eberhard's theorem, Israel J. Math. 18, 1974, 19-29. (1974) Zbl0291.05102MR0353320

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