Nearly regular cell-decompositions of orientable 2-manifolds with at most two exceptional cells
Mathematica slovaca, Tome 27 (1977) no. 1, pp. 73-89
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

Classification : 52A10, 57M20, 57N05, 57Q05
@article{MASLO_1977_27_1_a9,
     author = {Hor\v{n}\'ak, Mirko and Jucovi\v{c}, Ernest},
     title = {Nearly regular cell-decompositions of orientable 2-manifolds with at most two exceptional cells},
     journal = {Mathematica slovaca},
     pages = {73--89},
     year = {1977},
     volume = {27},
     number = {1},
     mrnumber = {0461511},
     zbl = {0349.55002},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/MASLO_1977_27_1_a9/}
}
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
SP  - 73
EP  - 89
VL  - 27
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/MASLO_1977_27_1_a9/
LA  - en
ID  - MASLO_1977_27_1_a9
ER  - 
%0 Journal Article
%A Horňák, Mirko
%A Jucovič, Ernest
%T Nearly regular cell-decompositions of orientable 2-manifolds with at most two exceptional cells
%J Mathematica slovaca
%D 1977
%P 73-89
%V 27
%N 1
%U http://geodesic.mathdoc.fr/item/MASLO_1977_27_1_a9/
%G en
%F MASLO_1977_27_1_a9
Horňák, Mirko; Jucovič, Ernest. Nearly regular cell-decompositions of orientable 2-manifolds with at most two exceptional cells. Mathematica slovaca, Tome 27 (1977) no. 1, pp. 73-89. http://geodesic.mathdoc.fr/item/MASLO_1977_27_1_a9/

[1] BARNETTE D., JUCOVlC E., TRENKLER M.: Toroidal maps with prescribed types of vertices and faces. Mathematika, 18, 1971, 82-90. | MR

[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. | MR | Zbl

[3] GALLAI T.: Signierte Zellenzerlegungen. Acta Math. Acad. Sci. Hungar., 22, 1971, 51-63. | MR | Zbl

[4] GRÜNBAUM B.: Convex Polytopes. Interscience 1967. | MR

[5] GRÜNBAUM B.: Polytopes, graphs, and complexes. Bull. Amer. Math. Soc. 76, 1970, 1131-1201. | MR | Zbl

[6] HORŇÁK M.: A theorem on the non-existence of certain type of nearly regular cell-decompositions of the sphere (to appear). | Zbl

[7] JENDROL S.: On the non-existence of certain nearly regular planar maps with two exceptional faces. Mat. Čas., 25, 1975, 159-164. | MR | Zbl

[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. | MR

[10] JUCOVlĆ E., TRENKLER M.: A theorem on the structure of cell-decompositions of orientable 2-manifolds. Mathematika, 20, 1973, 63-82. | MR

[11] MALKEVITCH J.: Properties of planar graphs with uniform vertex and face structure. Memoirs Amer. Math. Soc, 99, 1970. | MR | Zbl