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

被引：0

作者：

Tiwari, Anand Kumar ^{[1
]}

Singh, Yogendra ^{[2
]}

Tripathi, Amit ^{[3
]}

机构：

[1] Indian Inst Informat Technol, Dept Appl Sci, Allahabad 211015, India

[2] Vignans Fdn Sci Technol & Res, Dept Math & Stat, Vadlamudi 522213, India

[3] Rajkiya Engn Coll, Dept Appl Sci & Humanities, Banda 210201, India

来源：

COMMUNICATIONS IN COMBINATORICS AND OPTIMIZATION | 2024年

关键词：

2-Semi equivelar maps; face-sequence; torus; Klein bottle; SEMI-EQUIVELAR;

D O I：

10.22049/cco.2024.29269.1919

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The k-semi equivelar maps, for k >= 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.

引用

页数：28

共 20 条

[1] SEMI-EQUIVELAR MAPS ON THE TORUS AND THE KLEIN BOTTLE WITH FEW VERTICES
Tiwari, Anand Kumar
Upadhyay, Ashish Kumar
MATHEMATICA SLOVACA, 2017, 67 (02) : 519 - 532
[2] Semi-equivelar maps on the torus and the Klein bottle are Archimedean
Datta, Basudeb
Maity, Dipendu
DISCRETE MATHEMATICS, 2018, 341 (12) : 3296 - 3309
[3] Enumeration of doubly semi-equivelar maps on the Klein bottle
Singh, Yogendra
Tiwari, Anand Kumar
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2023,
[4] Doubly semi-equivelar maps on the plane and the torus
Singh, Yogendra
Tiwari, Anand Kumar
AKCE INTERNATIONAL JOURNAL OF GRAPHS AND COMBINATORICS, 2022, 19 (03) : 296 - 310
[5] Doubly Semiequivelar Maps on Torus and Klein Bottle
Tiwari, Anand K.
Tripathi, Amit
Singh, Yogendra
Gupta, Punam
JOURNAL OF MATHEMATICS, 2020, 2020
[6] Semi-equivelar and vertex-transitive maps on the torus
Datta B.
Maity D.
Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, 2017, 58 (3): : 617 - 634
[7] Coincidence Properties for Maps from the Torus to the Klein Bottle
Daciberg L. Gonçalves
Michael R. Kelly
Chinese Annals of Mathematics, Series B, 2008, 29 : 425 - 440
[8] Coincidence Properties for Maps from the Torus to the Klein Bottle
Daciberg L.GONCALVES
Michael R.KELLY
ChineseAnnalsofMathematics, 2008, (04) : 425 - 440
[9] Coincidence properties for maps from the torus to the Klein bottle
Goncalves, Daciberg L.
Kelly, Michael R.
CHINESE ANNALS OF MATHEMATICS SERIES B, 2008, 29 (04) : 425 - 440
[10] Correction to: Semi-equivelar and vertex-transitive maps on the torus
Basudeb Datta
Dipendu Maity
Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, 2020, 61 : 187 - 188

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