2-semi equivelar maps on the torus and the Klein bottle with few vertices

Tiwari, Anand Kumar; Singh, Yogendra; Tripathi, Amit

doi:10.22049/cco.2024.29269.1919

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	2-semi equivelar maps on the torus and the Klein bottle with few vertices
Communications in Combinatorics and Optimization
مقاله 9، دوره 10، شماره 4، اسفند 2025، صفحه 877-904 اصل مقاله (736.21 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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2-semi equivelar maps on the torus and the Klein bottle with few vertices