On face vectors of trivalent maps

Stanislav Jendroľ

Mathematica Slovaca (1986)

  • Volume: 36, Issue: 4, page 367-386
  • ISSN: 0139-9918

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Jendroľ, Stanislav. "On face vectors of trivalent maps." Mathematica Slovaca 36.4 (1986): 367-386. <http://eudml.org/doc/31550>.

@article{Jendroľ1986,
author = {Jendroľ, Stanislav},
journal = {Mathematica Slovaca},
keywords = {toroidal maps; maps on oriented 2-manifolds; trivalent map},
language = {eng},
number = {4},
pages = {367-386},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {On face vectors of trivalent maps},
url = {http://eudml.org/doc/31550},
volume = {36},
year = {1986},
}

TY - JOUR
AU - Jendroľ, Stanislav
TI - On face vectors of trivalent maps
JO - Mathematica Slovaca
PY - 1986
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 36
IS - 4
SP - 367
EP - 386
LA - eng
KW - toroidal maps; maps on oriented 2-manifolds; trivalent map
UR - http://eudml.org/doc/31550
ER -

References

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  1. BARNETTE D. W., On p-vectors of 3-polytopes, J. Combinatorial Theory 7, 1969, 89-103. (1969) Zbl0179.25902MR0244851
  2. EBERHARD V., Zuг Moгphologie der Polyeder, Teubner, Leipzig 1891. 
  3. FISHER J. C., An existence theorem for simple convex polyhedгa, Discrete Math. 7, 1974, 75-97. (1974) MR0333984
  4. GRÜNBAUM N., Convex Polytopes, Interscience. New York, 1967. (1967) 
  5. GRÜNBAUM B., Some analogues of Eberhaгďs theorem on convex polytopes, Israel J. Math.6, 1968, 398-411. (1968) MR0244854
  6. GRÜNBAUM B., Polytopal gгaphs, MAA Studies in Mathematics, Studies in Graph Theory, vol. 12 (D. R. Fulkeгson ed.), 1975. (1975) 
  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. (1963) MR0154182
  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. (1974) MR0398875
  9. JENDROĽ S., On the face-vectoг of trivalent convex polyhedгa, Math. Slovaca 33, 1983, 165-180. (1983) MR0699086
  10. JENDROĽ S., JUCOVIČ E., On the toroidal analogue of Eberhaгďs theorem, Pгoc. London Math. Soc. 25, 1972, 385-398. (1972) MR0307968
  11. JENDROĽ S., JUCOVIČ E., Geneгalization of a theorem of V. Eberhard, Math. Slovaca 27, 1977, 383-407. (1977) 
  12. JUCOVIČ E., On polyhedгal гealizability of ceгtain sequences, Canad. Math. Bull. 12, 1969, 31-39. (1969) MR0244073
  13. JUCOVIČ E., On the number of hexagons in a map, J. Combinatorial Theory 10, 1971, 232-236. (1971) Zbl0214.50902MR0278179
  14. JUCOVIČ E., On face-vectoгs and veгtex-vectoгs of celldecompositions of orientable 2-manifolds, Math. Nachrichten 72, 1976, 285-295. (1976) 
  15. JUCOVIČ E., Konvexné mnohosteny, Veda, Bratislava, 1981 (in Slovak). (1981) 
  16. KRAEFT J., Übeг 3-realisieгbaгe Folgen mit beliebigen Sechseckzahlen, J. of Geometry 10, 1977, 32-44. (1977) MR0513982
  17. MALKEVITCH J., Pгopeгties of planaг gгaphs with unifoгm veгtex and face stгucture, PhD. Thesis, Univeгsity of Wisconsin, Madison, 1969. (1969) 

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