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.