On enumeration of a class of maps on Klein bottle

Abstract

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.

References in corpus (2)

• On enumeration of a class of toroidal graphs
• Hamiltonian Cycle in Semi-Equivelar Maps on the Torus