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arxiv: 1509.04519 · v2 · pith:OCLEMTVNnew · submitted 2015-09-15 · 🧮 math.CO · math.GT

On enumeration of a class of maps on Klein bottle

classification 🧮 math.CO math.GT
keywords mapsbottlekleinsemi-equivelarclasstypesarticleattempt
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We present enumerations of a class of maps on Klein bottle which give rise to semi-equivelar maps. Semi-equivelar maps are generalizations of equivelar maps. There are eleven types of semi-equivelar maps on the Klein bottle. These are of the types $\{3^{6}\}$, $\{4^{4}\}$, $\{6^{3}\}$, $\{3^{3},$ $4^{2}\}$, $\{3^{2},$ $4,$ $3,$ $4\}$, $\{3,$ $6,$ $3,$ $6\}$, $\{3^{4}, 6\}$, $\{4,$ $8^{2}\}$, $\{3, 12^{2}\}$, $\{4,$ $6,$ $12\}$, $\{3,$ $4,$ $6,$ $4\}$. In this article, we attempt to classify these maps.

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