Nearly regular cell-decompositions of orientable 2-manifolds with at most two exceptional cells

Mirko Horňák; Ernest Jucovič

Mathematica Slovaca (1977)

  • Volume: 27, Issue: 1, page 73-89
  • ISSN: 0232-0525

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Horňák, Mirko, and Jucovič, Ernest. "Nearly regular cell-decompositions of orientable 2-manifolds with at most two exceptional cells." Mathematica Slovaca 27.1 (1977): 73-89. <http://eudml.org/doc/31708>.

@article{Horňák1977,
author = {Horňák, Mirko, Jucovič, Ernest},
journal = {Mathematica Slovaca},
language = {eng},
number = {1},
pages = {73-89},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Nearly regular cell-decompositions of orientable 2-manifolds with at most two exceptional cells},
url = {http://eudml.org/doc/31708},
volume = {27},
year = {1977},
}

TY - JOUR
AU - Horňák, Mirko
AU - Jucovič, Ernest
TI - Nearly regular cell-decompositions of orientable 2-manifolds with at most two exceptional cells
JO - Mathematica Slovaca
PY - 1977
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 27
IS - 1
SP - 73
EP - 89
LA - eng
UR - http://eudml.org/doc/31708
ER -

References

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  1. BARNETTE D., JUCOVlC E., TRENKLER M., Toroidal maps with prescribed types of vertices and faces, Mathematika, 18, 1971, 82-90. (1971) MR0288048
  2. CROWE D. V., Nearly regular polyhedra with two exceptional faces, "The Many Facets of Graph Theory" ed. by G. Chartrand and S. F. Kapoon, Springer 1969, 63-76. (1969) Zbl0185.48504MR0256928
  3. GALLAI T., Signierte Zellenzerlegungen, Acta Math. Acad. Sci. Hungar., 22, 1971, 51-63. (1971) Zbl0222.05104MR0288661
  4. GRÜNBAUM B., Convex Polytopes, Interscience 1967. (1967) MR0226496
  5. GRÜNBAUM B., Polytopes, graphs, and complexes, Bull. Amer. Math. Soc. 76, 1970, 1131-1201. (1970) Zbl0211.25001MR0266050
  6. HORŇÁK M., [unknown], A theorem on the non-existence of certain type of nearly regular cell-decompositions of the sphere (to appear). Zbl1222.05064
  7. JENDROL S., On the non-existence of certain nearly regular planar maps with two exceptional faces, Mat. Čas., 25, 1975, 159-164. (1975) Zbl0331.05104MR0392691
  8. JUCOVlĆ E., On face-vectors and vertex-vectors of cell-decompositions of orientable 2-manifolds, Math. Nachrichten (to appear). 
  9. JUCOVlĆ E., Strengthening of a theorem about 3-polytopes, Geornetriae dedicata, 3, 1974, 233-237. (1974) MR0348629
  10. JUCOVlĆ E., TRENKLER M., A theorem on the structure of cell-decompositions of orientable 2-manifolds, Mathematika, 20, 1973, 63-82. (1973) MR0344163
  11. MALKEVITCH J., Properties of planar graphs with uniform vertex and face structure, Memoirs Amer. Math. Soc, 99, 1970. (1970) Zbl0196.27203MR0260616

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