ONE-LOOSELY TIGHT TRIANGULATIONS ON CLOSED SURFACES
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概要
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A triangulation ＄G＄ on a closed surface is called k- loosellely tight if any color assignment to vertices with ＄k+3＄ colors yields a face whose corners are assigned three distinct colors. We shall show that a triangulation ＄G＄ of the sphere, the projective plane, the torus or the Klein bottle is 1-loosely tight if and only if both the independence number and the diameter of ＄G＄ do not exceed 2. Using this result, we shall classify all 1-loosely tight triangulations of the projective plane.
- Yokohama City University and Yokohama National Universityの論文
- 1999-00-00
Yokohama City University and Yokohama National University | 論文
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