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2-semi equivelar maps on the torus and the Klein bottle with few vertices | ||
| Communications in Combinatorics and Optimization | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 28 بهمن 1402 اصل مقاله (736.49 K) | ||
| نوع مقاله: Original paper | ||
| شناسه دیجیتال (DOI): 10.22049/cco.2024.29269.1919 | ||
| نویسندگان | ||
| Anand Kumar Tiwari* 1؛ Yogendra Singh2؛ Amit Tripathi3 | ||
| 1Department of Applied Science, Indian Institute of Information Technology, Allahabad 211 015, India | ||
| 2Department of Mathematics and Statistics, Vignan's Foundation for Science, Technology & Research, Vadlamudi 522213, India | ||
| 3Department of Applied Science & Humanities, Rajkiya Engineering College, Banda 210201, India | ||
| چکیده | ||
| The $k$-semi equivelar maps, for $k \geq 2$, are generalizations of maps on the surfaces of Johnson solids to closed surfaces other than the 2-sphere. In the present study, we determine 2-semi equivelar maps of curvature 0 exhaustively on the torus and the Klein bottle. Furthermore, we classify (up to isomorphism) all these 2-semi equivelar maps on the surfaces with up to 12 vertices. | ||
| کلیدواژه‌ها | ||
| 2-Semi equivelar maps؛ Face-sequence؛ Torus؛ Klein bottle | ||
| مراجع | ||
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