{"paper":{"title":"On enumeration of a class of maps on Klein bottle","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GT"],"primary_cat":"math.CO","authors_text":"Ashish Kumar Upadhyay, Dipendu Maity","submitted_at":"2015-09-15T12:29:37Z","abstract_excerpt":"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."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.04519","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}