| Autor: |
Chávez, María Jose, Fijavž, Gašper, Márquez, Alberto, Nakamoto, Atsuhiro, Suárez, Esperanza |
| Předmět: |
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| Zdroj: |
SIAM Journal on Discrete Mathematics; 2009, Vol. 23 Issue 1, p221-232, 12p, 5 Diagrams |
| Abstrakt: |
A Möbius triangulation is a triangulation on the Möbius band. A geometric realization of a map M on a surface Σ is an embedding of Σ into a Euclidean 3-space R3 such that each face of M is a flat polygon. In this paper, we shall prove that every 5-connected triangulation on the Möbius band has a geometric realization. In order to prove it, we prove that if G is a 5-connected triangulation on the projective plane, then for any face f of G, the Möbius triangulation G - f obtained from G by removing the interior of f has a geometric realization. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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