@article{MASLO_1993_43_4_a0,
author = {Jendro\v{l}, Stanislav},
title = {On face-vectors and vertex-vectors of polyhedral maps on orientable $2$-manifolds},
journal = {Mathematica slovaca},
pages = {393--416},
year = {1993},
volume = {43},
number = {4},
mrnumber = {1248974},
zbl = {0795.05049},
language = {en},
url = {http://geodesic.mathdoc.fr/item/MASLO_1993_43_4_a0/}
}
Jendroľ, Stanislav. On face-vectors and vertex-vectors of polyhedral maps on orientable $2$-manifolds. Mathematica slovaca, Tome 43 (1993) no. 4, pp. 393-416. http://geodesic.mathdoc.fr/item/MASLO_1993_43_4_a0/
[1] BARNETTE D.: On p-vectors of 3-polytopes. J. Combin. Theory Ser.? 7 (1969), 89-103. | MR | Zbl
[2] BARNETTE D.: Polyhedral maps on 2-manifolds. In: Convexity and Related Combinatorial Geometry (D. C. Kay and M. Breen, eds.), Marcel Dekker Inc., New York and Basel, 1982, pp. 7-19. | MR | Zbl
[3] EBERHARD V.: Zur Morphologie der Polyeder. Teubner, Leipzig, 1891.
[4] ENNS T. C.: Convex 4-valent polytopes. Discrete Math. 30 (1980), 227-234. | MR | Zbl
[5] ENNS T. C.: 4-valent graphs. J. Graph Theory 6 (1982), 255-281. | MR | Zbl
[6] FISHER J. C.: An existence theorem for simple convex polyhedra. Discrete Math. 7 (1974), 75-97. | MR | Zbl
[7] GRITZMANN P.: The toroidal analogue to Eberhard's theorem. Mathematika 30 (1983), 274-290. | MR | Zbl
[8] GRÜNBAUM B.: Convex Polytopes. Interscience, New York, 1967. | MR
[9] GRÜNBAUM B.: Some analogues of Eberhard's theorem on convex polytopes. Israel J. Math. 6 (1968), 398-411. | MR
[10] GRÜNBAUM B.: Planar maps with prescribed types of vertices and faces. Mathematika 16 (1969), 28-36. | MR | Zbl
[11] GRÜNBAUM B.: Polytopal graphs. In: Studies in Graph Theory MAA Stud. Math. 12 (D. R. Fulkerson, ed.), Math. Assoc. America, Washington, DC, 1975, pp. 201-224. | MR | Zbl
[12] GRÜNBAUM B., MOTZKIN T. S.: The number of hexagons and the simplicity of geodesies of certain polyhedra. Canad. J. Math. 15 (1963), 744-751. | MR
[13] GRÜNBAUM B., SHEPHARD G. C.: The theorems of Euler and Eberhard for tilings of the plane. Resultate Math. 5 (1982), 19-44. | MR | Zbl
[14] GRÜNBAUM B., ZAKS J.: The existence of certain planar maps. Discrete Math. 10 (1974), 93-115. | MR | Zbl
[15] JENDROE S.: On the face-vector of trivalent convex polyhedra. Math. Slovaca 33 (1983), 165-180. | MR
[16] JENDROE S.: On face vectors of trivalent maps. Math. Slovaca 36 (1986), 367-386. | MR
17] JENDROE S.: On face-vectors and vertex-vectors of convex polyhedra. Discrete Math. 118 (1993), 119-144. | MR
[18] JENDROE S., JUCOVIČ E.: On a conjecture by B. Grünbaum. Discrete Math. 2 (1972), 35-49. | MR
[19] JENDROE S., JUCOVIČ E.: Generalization of a theorem by V. Eberhard. Math. Slovaca 27 (1977), 383-407. | MR
[20] JUCOVIČ E.: On the number of hexagons in a map. J. Combin. Theory Ser. B 10 (1971), 232-236. | MR | Zbl
[21] JUCOVIČ E.: On face-vectors and vertex-vectors of cell-decompositions of orientable 2-manifolds. Math. Nachr. 73 (1976), 285-295. | MR | Zbl
[22] JUCOVIČ E.: Convex 3-polytopes. (Slovak), Veda, Bratislava, 1981.
[23] KRAEFT J.: Über 3-realisierbare Folgen mit beliebigen Sechseckzahlen. J. Geom. 10 (1977), 32-44. | MR | Zbl
[24] MALKEVITCH J.: Polytopal graphs. In: Selected Topics in Graph Theory 3, Academic Press, London, 1988, pp. 169-188. | MR | Zbl
[25] TRENKLER M.: Convex 4-valent polytopes with prescribed types of faces. Comment. Math. Univ. Carolin. 25 (1984), 171-179. | MR | Zbl