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Some Semi - Equivelar Maps
- Publication Year :
- 2011
-
Abstract
- Semi-Equivelar maps are generalizations of Archimedean Solids (as are equivelar maps of the Platonic solids) to the surfaces other than $2-$Sphere. We classify some semi equivelar maps on surface of Euler characteristic -1 and show that none of these are vertex transitive. We establish existence of 12-covered triangulations for this surface. We further construct double cover of these maps to show existence of semi-equivelar maps on the surface of double torus. We also construct several semi-equivelar maps on the surfaces of Euler characteristics -8 and -10 and on non-orientable surface of Euler characteristics -2.<br />Comment: 20 pages, 2 figures, Revised, Examples condensed in tabular form
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1101.0671
- Document Type :
- Working Paper