On the Face-Vector of a 5-Valent Convex 3-Polytope

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On the Face-Vector of a 5-Valent Convex 3-Polytope. (English). Matematický časopis, vol. 25 (1975), issue 4, pp. 351-360

MSC: 52A25, 52Bxx | MR 0467535 | Zbl 0313.52004

References:

[1] FISHER J. C: An existence theorem for simple convex polyhedra. Discrete Math. 7, 1974, 75-81. MR 0333984 | Zbl 0271.52008

[2] FISHER J. C: 5-valent convex polyhedra with prescribed faces (to appear).

[3] GRÜNBAUM B.: Convex polytopes. Interscience, New York 1967. MR 0226496 | Zbl 0163.16603

[4] GRÜNBAUM B.: Polytopes, graphs, and complexes. Bull. Amer. Soc., 76, 1970, 1131-1201. MR 0266050 | Zbl 0211.25001

[5] JUCOVIČ E.: On the face-vector of a 4-valent 3-polytope. Studia Sc. Math. Hungar. 7, 1973, 53-57. MR 0333985

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