On the face-vectors of trivalent convex polyhedra

Stanislav Jendroľ

Mathematica Slovaca (1983)

  • Volume: 33, Issue: 2, page 165-180
  • ISSN: 0232-0525

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Jendroľ, Stanislav. "On the face-vectors of trivalent convex polyhedra." Mathematica Slovaca 33.2 (1983): 165-180. <http://eudml.org/doc/34157>.

@article{Jendroľ1983,
author = {Jendroľ, Stanislav},
journal = {Mathematica Slovaca},
keywords = {convex polyhedron; face vector; Eberhard's theorem},
language = {eng},
number = {2},
pages = {165-180},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {On the face-vectors of trivalent convex polyhedra},
url = {http://eudml.org/doc/34157},
volume = {33},
year = {1983},
}

TY - JOUR
AU - Jendroľ, Stanislav
TI - On the face-vectors of trivalent convex polyhedra
JO - Mathematica Slovaca
PY - 1983
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 33
IS - 2
SP - 165
EP - 180
LA - eng
KW - convex polyhedron; face vector; Eberhard's theorem
UR - http://eudml.org/doc/34157
ER -

References

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  1. EBERHARD V., Zur Moгphologie der Polyeder, Teubner, Leipzig 1891. 
  2. FISHER J. C., An existence theorern for simple convex polyhedra, Discrete Math. 7, 1974, 75-97. (1974) MR0333984
  3. FISHER J. C., [unknown], Letter to Professor Grünbaum from August 11, 1978. (1978) Zbl0496.54038
  4. GRÜNBAUM B., Convex polytopes, Wiley, New York, 1967. (1967) Zbl0163.16603MR0226496
  5. GRÜNBAUM B., Some analogues of Eberharďs theoгem on convex polytopes, Isгael J. Math. 6, 1968, 398-411. (1968) MR0244854
  6. GRÜNBAUM B., Polytopal graphs, MAA Studies in Mathematics, Studies in Graph Theory, Vol. 12 (D. R. Fulkerson ed.), 1975. (1975) Zbl0323.05104MR0406868
  7. JENDROĽ S., JUCOVIČ E., Generalization of a theorem by V. Eberhard, Mathematica Slovaca 27, 1977, 383-407. (1977) Zbl0376.57002MR0536841
  8. JUCOVIĆ E., On polyhedral realizability of certain sequences, Canad. Math. Bull. 12, 1969, 31-39. (1969) Zbl0185.48402MR0244073
  9. JUCOVIĆ E., Konvexné mnohosteny, Veda, Bratislava, 1981. (1981) Zbl0468.52007
  10. MALKEVITCH J., Pгopeгties of planar graphs with unifoгm veгtex and face structure, Ph. D. Thesis, Univeгsity of Wisconsin, Madison 1969. (1969) 

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