Title | ||
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Geometric Realization of a Triangulation on the Projective Plane with One Face Removed |
Abstract | ||
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Let M be a map on a surface F 2. A geometric realization of M is an embedding of F 2 into a Euclidean 3-space ℝ3 such that each face of M is a flat polygon. We shall prove that every triangulation G on the projective plane has a face f such that the triangulation of the Möbius band obtained from G by removing the interior of f has a geometric realization. |
Year | DOI | Venue |
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2008 | 10.1007/s00454-007-9035-9 | Electronic Notes in Discrete Mathematics |
Keywords | DocType | Volume |
Triangulation,Geometric realization,Möbius band,Projective plane | Journal | 40 |
Issue | ISSN | Citations |
1 | 0179-5376 | 5 |
PageRank | References | Authors |
0.58 | 2 | 2 |
Name | Order | Citations | PageRank |
---|---|---|---|
C. Paul Bonnington | 1 | 100 | 19.95 |
Atsuhiro Nakamoto | 2 | 333 | 51.63 |