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Some Semi - Equivelar Maps

Authors :
Upadhyay, Ashish K.
Tiwari, Anand K.
Maity, Dipendu
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